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        <h1>Flatland <br> A Romance of Many Dimensions</h1>

        <h2>Concerning the Inhabitants of Flatland
        </h2>

        <p><font size=+2>T</font>HE GREATEST length or breadth of a full grown inhabitant of
        Flatland may be estimated at about eleven of your inches.  Twelve
        inches may be regarded as a maximum.
        </p>

        <p>Our Women are Straight Lines.
        </p>

        <p>Our Soldiers and Lowest Class of Workmen are Triangles with two
        equal sides, each about eleven inches long, and a base or third side
        so short (often not exceeding half an inch) that they form at their
        vertices a very sharp and formidable angle.  Indeed when their bases
        are of the most degraded type (not more than the eighth part of an
        inch in size), they can hardly be distinguished from Straight lines or
        Women; so extremely pointed are their vertices.  With us, as with you,
        these Triangles are distinguished from others by being called
        Isosceles; and by this name I shall refer to them in the following
        pages.
        </p>


        <p>Our Middle Class consists of Equilateral or Equal-Sided Triangles.
        </p>

        <p>Our Professional Men and Gentlemen are Squares (to which class I
        myself belong) and Five-Sided Figures or Pentagons.
        </p>

        <p>Next above these come the Nobility, of whom there are several
        degrees, beginning at Six-Sided Figures, or Hexagons, and from thence
        rising in the number of their sides till they receive the honourable
        title of Polygonal, or many-Sided.  Finally when the number of the
        sides becomes so numerous, and the sides themselve so small, that the
        figure cannot be distinguished from a circle, he is included in the
        Circular or Priestly order; and this is the highest class of all.
        </p>

        <p>It is a Law of Nature with us that a male child shall have one
        more side than his father, so that each generation shall rise (as a
        rule) one step in the scale of development and nobility.  <blockquote>Thus the son
        of a Square is a Pentagon; the son of a Pentagon, a Hexagon; and so
        on.</blockquote>
        </p>

        <p>But this rule applies not always to the Tradesman, and still less
        often to the Soldiers, and to the Workmen; who indeed can hardly be
        said to deserve the name of human Figures, since they have not all
        their sides equal.  With them therefore the Law of Nature does not
        hold; and the son of an Isosceles (i.e. a Triangle with two sides
        equal) remains Isosceles still.  Nevertheless, all hope is not such
        out, even from the Isosceles, that his posterity may ultimately rise
        above his degraded condition.  For, after a long series of military
        successes, or diligent and skillful labours, it is generally found
        that the more intelligent among the Artisan and Soldier classes
        manifest a slight increase of their third side or base, and a
        shrinkage of the two other sides.  Intermarriages (arranged by the
        Priests) between the sons and daughters of these more intellectual
        members of the lower classes generally result in an offspring
        approximating still more to the type of the Equal-Sided Triangle.
        </p>

        <p>Rarely--in proportion to the vast numbers of Isosceles
        births--is a genuine and certifiable
        Equal-Sided Triangle produced from
        Isosceles parents. Such a birth requires, as its
        antecedents, not only a series of carefully arranged intermarriages,
        but also a long-continued exercise of frugality and self-control on
        the part of the would-be ancestors of the coming Equilateral, and a
        patient, systematic, and continuous development of the Isosceles
        intellect through many generations.
        </p>

        <p>The birth
         of a True Equilateral Triangle from Isosceles parents is
        the subject of rejoicing in our country for many furlongs round.
        After a strict examination conducted by the Sanitary and Social Board,
        the infant, if certified as Regular, is with solemn ceremonial
        admitted into the class of Equilaterals.  He is then immediately taken
        from his proud yet sorrowing parents and adopted by some childless
        Equilateral, who is bound by oath never to permit the child henceforth
        to enter his former home or so much as to look upon his relations
        again, for fear lest the freshly developed organism may, by force of
        unconscious imitation, fall back again into his hereditary level.
        </p>

        <p>The occasional emergence of an Equilateral from the ranks of his
        serf-born ancestors is welcomed, not only by the poor serfs
        themselves, as a gleam of light and hope shed upon the monotonous
        squalor of their existence, but also by the Aristocracy at large; for
        all the higher classes are well aware that these rare phenomena, while
        they do little or nothing to vulgarize their own privileges, serve as
        almost useful barrier against revolution from below.
        </p>

        <p>Had the acute-angled rabble been all, without exception,
        absolutely destitute of hope and of ambition, they might have found
        leaders in some of their many seditious outbreaks, so able as to
        render their superior numbers and strength too much even for the
        wisdom of the Circles.  But a wise ordinance of Nature has decreed
        that, in proportion as the working-classes increase in intelligence,
        knowledge, and all virtue, in that same proportion their acute angle
        (which makes them physically terrible) shall increase also and
        approximate to their comparatively harmless angle of the Equilateral
        Triangle.  Thus, in the most brutal and formidable off the soldier
        class--creatures almost on a level with women in their lack of
        intelligence--it is found that, as they wax in the mental ability
        necessary to employ their tremendous penetrating power to advantage,
        so do they wane in the power of penetration itself.
        </p>

        <p>How admirable is the Law of Compensation!  And how perfect a proof
        of the natural fitness and, I may almost say, the divine origin of the
        aristocratic constitution of the States of Flatland!  By a juidicious
        use of this Law of Nature, the Polygons and Circles are almost always
        able to stifle sedition in its very cradle, taking advantage of the
        irrepressible and boundless hopefulness of the human mind.  Art also
        comes to the aid of Law and Order.  It is generally found
        possible--by a little artificial compression or
        expansion on the part of the
        State physicians--to make some of the more intelligent leaders of a
        rebellion perfectly Regular, and to admit them at once into the
        privileged classes; a much larger number, who are still below the
        standard, allured by the prospect of being ultimately ennobled, are
        induced to enter the State Hospitals, where they are kept in
        honourable confinement for life; one or two alone of the most
        obstinate, foolish, and hopelessly irregular are led to execution.
        </p>

        <p>Then the wretched rabble of the Isosceles, planless and
        leaderless, are ether transfixed without resistance by the small body
        of their brethren whom the Chief Circle keeps in pay for emergencies
        of this kind; or else more often, by means of jealousies and
        suspicious skillfully fomented among them by the Circular party, they
        are stirred to mutual warfare, and perish by one another's angles.  No
        less than one hundred and twenty rebellions are recorded in our
        annals, besides minor outbreaks numbered at two hundred and
        thirty-five; and they have all ended thus.
        </p>


        <p>&quot;What need of a certificate?&quot; a Spaceland critic may ask:
        &quot;Is not the procreation of a Square Son a certificate from Nature
        herself, proving the Equal-sidedness of the Father?&quot;  I reply that no
        Lady of any position will marry an uncertified Triangle.  Square
        offspring has sometimes resulted from a slightly Irregular Triangle;
        but in almost every such case the Irregularity of the first generation
        is visited on the third; which either fails to attain the Pentagonal
        rank, or relapses to the Triangular.
        </p>
        <p><font size=+2>T</font>HE GREATEST length or breadth of a full grown inhabitant of
        Flatland may be estimated at about eleven of your inches.  Twelve
        inches may be regarded as a maximum.
        </p>

        <p>Our Women are Straight Lines.
        </p>

        <p>Our Soldiers and Lowest Class of Workmen are Triangles with two
        equal sides, each about eleven inches long, and a base or third side
        so short (often not exceeding half an inch) that they form at their
        vertices a very sharp and formidable angle.  Indeed when their bases
        are of the most degraded type (not more than the eighth part of an
        inch in size), they can hardly be distinguished from Straight lines or
        Women; so extremely pointed are their vertices.  With us, as with you,
        these Triangles are distinguished from others by being called
        Isosceles; and by this name I shall refer to them in the following
        pages.
        </p>

        <p>Our Middle Class consists of Equilateral or Equal-Sided Triangles.
        </p>

        <p>Our Professional Men and Gentlemen are Squares (to which class I
        myself belong) and Five-Sided Figures or Pentagons.
        </p>

        <p>Next above these come the Nobility, of whom there are several
        degrees, beginning at Six-Sided Figures, or Hexagons, and from thence
        rising in the number of their sides till they receive the honourable
        title of Polygonal, or many-Sided.  Finally when the number of the
        sides becomes so numerous, and the sides themselve so small, that the
        figure cannot be distinguished from a circle, he is included in the
        Circular or Priestly order; and this is the highest class of all.
        </p>

        <p>It is a Law of Nature with us that a male child shall have one
        more side than his father, so that each generation shall rise (as a
        rule) one step in the scale of development and nobility.  <blockquote>Thus the son
        of a Square is a Pentagon; the son of a Pentagon, a Hexagon; and so
        on.</blockquote>
        </p>

        <p>But this rule applies not always to the Tradesman, and still less
        often to the Soldiers, and to the Workmen; who indeed can hardly be
        said to deserve the name of human Figures, since they have not all
        their sides equal.  With them therefore the Law of Nature does not
        hold; and the son of an Isosceles (i.e. a Triangle with two sides
        equal) remains Isosceles still.  Nevertheless, all hope is not such
        out, even from the Isosceles, that his posterity may ultimately rise
        above his degraded condition.  For, after a long series of military
        successes, or diligent and skillful labours, it is generally found
        that the more intelligent among the Artisan and Soldier classes
        manifest a slight increase of their third side or base, and a
        shrinkage of the two other sides.  Intermarriages (arranged by the
        Priests) between the sons and daughters of these more intellectual
        members of the lower classes generally result in an offspring
        approximating still more to the type of the Equal-Sided Triangle.
        </p>

        <p>Rarely--in proportion to the vast numbers of Isosceles
        births--is a genuine and certifiable
        Equal-Sided Triangle produced from
        Isosceles parents. Such a birth requires, as its
        antecedents, not only a series of carefully arranged intermarriages,
        but also a long-continued exercise of frugality and self-control on
        the part of the would-be ancestors of the coming Equilateral, and a
        patient, systematic, and continuous development of the Isosceles
        intellect through many generations.
        </p>

        <p>The birth
         of a True Equilateral Triangle from Isosceles parents is
        the subject of rejoicing in our country for many furlongs round.
        After a strict examination conducted by the Sanitary and Social Board,
        the infant, if certified as Regular, is with solemn ceremonial
        admitted into the class of Equilaterals.  He is then immediately taken
        from his proud yet sorrowing parents and adopted by some childless
        Equilateral, who is bound by oath never to permit the child henceforth
        to enter his former home or so much as to look upon his relations
        again, for fear lest the freshly developed organism may, by force of
        unconscious imitation, fall back again into his hereditary level.
        </p>

        <p>The occasional emergence of an Equilateral from the ranks of his
        serf-born ancestors is welcomed, not only by the poor serfs
        themselves, as a gleam of light and hope shed upon the monotonous
        squalor of their existence, but also by the Aristocracy at large; for
        all the higher classes are well aware that these rare phenomena, while
        they do little or nothing to vulgarize their own privileges, serve as
        almost useful barrier against revolution from below.
        </p>

        <p>Had the acute-angled rabble been all, without exception,
        absolutely destitute of hope and of ambition, they might have found
        leaders in some of their many seditious outbreaks, so able as to
        render their superior numbers and strength too much even for the
        wisdom of the Circles.  But a wise ordinance of Nature has decreed
        that, in proportion as the working-classes increase in intelligence,
        knowledge, and all virtue, in that same proportion their acute angle
        (which makes them physically terrible) shall increase also and
        approximate to their comparatively harmless angle of the Equilateral
        Triangle.  Thus, in the most brutal and formidable off the soldier
        class--creatures almost on a level with women in their lack of
        intelligence--it is found that, as they wax in the mental ability
        necessary to employ their tremendous penetrating power to advantage,
        so do they wane in the power of penetration itself.
        </p>

        <p>How admirable is the Law of Compensation!  And how perfect a proof
        of the natural fitness and, I may almost say, the divine origin of the
        aristocratic constitution of the States of Flatland!  By a juidicious
        use of this Law of Nature, the Polygons and Circles are almost always
        able to stifle sedition in its very cradle, taking advantage of the
        irrepressible and boundless hopefulness of the human mind.  Art also
        comes to the aid of Law and Order.  It is generally found
        possible--by a little artificial compression or
        expansion on the part of the
        State physicians--to make some of the more intelligent leaders of a
        rebellion perfectly Regular, and to admit them at once into the
        privileged classes; a much larger number, who are still below the
        standard, allured by the prospect of being ultimately ennobled, are
        induced to enter the State Hospitals, where they are kept in
        honourable confinement for life; one or two alone of the most
        obstinate, foolish, and hopelessly irregular are led to execution.
        </p>

        <p>Then the wretched rabble of the Isosceles, planless and
        leaderless, are ether transfixed without resistance by the small body
        of their brethren whom the Chief Circle keeps in pay for emergencies
        of this kind; or else more often, by means of jealousies and
        suspicious skillfully fomented among them by the Circular party, they
        are stirred to mutual warfare, and perish by one another's angles.  No
        less than one hundred and twenty rebellions are recorded in our
        annals, besides minor outbreaks numbered at two hundred and
        thirty-five; and they have all ended thus.
        </p>


        <p>&quot;What need of a certificate?&quot; a Spaceland critic may ask:
        &quot;Is not the procreation of a Square Son a certificate from Nature
        herself, proving the Equal-sidedness of the Father?&quot;  I reply that no
        Lady of any position will marry an uncertified Triangle.  Square
        offspring has sometimes resulted from a slightly Irregular Triangle;
        but in almost every such case the Irregularity of the first generation
        is visited on the third; which either fails to attain the Pentagonal
        rank, or relapses to the Triangular.
        </p>

        <p><font size=+2>T</font>HE GREATEST length or breadth of a full grown inhabitant of
        Flatland may be estimated at about eleven of your inches.  Twelve
        inches may be regarded as a maximum.
        </p>

        <p>Our Women are Straight Lines.
        </p>

        <p>Our Soldiers and Lowest Class of Workmen are Triangles with two
        equal sides, each about eleven inches long, and a base or third side
        so short (often not exceeding half an inch) that they form at their
        vertices a very sharp and formidable angle.  Indeed when their bases
        are of the most degraded type (not more than the eighth part of an
        inch in size), they can hardly be distinguished from Straight lines or
        Women; so extremely pointed are their vertices.  With us, as with you,
        these Triangles are distinguished from others by being called
        Isosceles; and by this name I shall refer to them in the following
        pages.
        </p>

        <p>Our Middle Class consists of Equilateral or Equal-Sided Triangles.
        </p>

        <p>Our Professional Men and Gentlemen are Squares (to which class I
        myself belong) and Five-Sided Figures or Pentagons.
        </p>

        <p>Next above these come the Nobility, of whom there are several
        degrees, beginning at Six-Sided Figures, or Hexagons, and from thence
        rising in the number of their sides till they receive the honourable
        title of Polygonal, or many-Sided.  Finally when the number of the
        sides becomes so numerous, and the sides themselve so small, that the
        figure cannot be distinguished from a circle, he is included in the
        Circular or Priestly order; and this is the highest class of all.
        </p>

        <p>It is a Law of Nature with us that a male child shall have one
        more side than his father, so that each generation shall rise (as a
        rule) one step in the scale of development and nobility.  <blockquote>Thus the son
        of a Square is a Pentagon; the son of a Pentagon, a Hexagon; and so
        on.</blockquote>
        </p>

        <p>But this rule applies not always to the Tradesman, and still less
        often to the Soldiers, and to the Workmen; who indeed can hardly be
        said to deserve the name of human Figures, since they have not all
        their sides equal.  With them therefore the Law of Nature does not
        hold; and the son of an Isosceles (i.e. a Triangle with two sides
        equal) remains Isosceles still.  Nevertheless, all hope is not such
        out, even from the Isosceles, that his posterity may ultimately rise
        above his degraded condition.  For, after a long series of military
        successes, or diligent and skillful labours, it is generally found
        that the more intelligent among the Artisan and Soldier classes
        manifest a slight increase of their third side or base, and a
        shrinkage of the two other sides.  Intermarriages (arranged by the
        Priests) between the sons and daughters of these more intellectual
        members of the lower classes generally result in an offspring
        approximating still more to the type of the Equal-Sided Triangle.
        </p>

        <p>Rarely--in proportion to the vast numbers of Isosceles
        births--is a genuine and certifiable
        Equal-Sided Triangle produced from
        Isosceles parents. Such a birth requires, as its
        antecedents, not only a series of carefully arranged intermarriages,
        but also a long-continued exercise of frugality and self-control on
        the part of the would-be ancestors of the coming Equilateral, and a
        patient, systematic, and continuous development of the Isosceles
        intellect through many generations.
        </p>

        <p>The birth
         of a True Equilateral Triangle from Isosceles parents is
        the subject of rejoicing in our country for many furlongs round.
        After a strict examination conducted by the Sanitary and Social Board,
        the infant, if certified as Regular, is with solemn ceremonial
        admitted into the class of Equilaterals.  He is then immediately taken
        from his proud yet sorrowing parents and adopted by some childless
        Equilateral, who is bound by oath never to permit the child henceforth
        to enter his former home or so much as to look upon his relations
        again, for fear lest the freshly developed organism may, by force of
        unconscious imitation, fall back again into his hereditary level.
        </p>

        <p>The occasional emergence of an Equilateral from the ranks of his
        serf-born ancestors is welcomed, not only by the poor serfs
        themselves, as a gleam of light and hope shed upon the monotonous
        squalor of their existence, but also by the Aristocracy at large; for
        all the higher classes are well aware that these rare phenomena, while
        they do little or nothing to vulgarize their own privileges, serve as
        almost useful barrier against revolution from below.
        </p>

        <p>Had the acute-angled rabble been all, without exception,
        absolutely destitute of hope and of ambition, they might have found
        leaders in some of their many seditious outbreaks, so able as to
        render their superior numbers and strength too much even for the
        wisdom of the Circles.  But a wise ordinance of Nature has decreed
        that, in proportion as the working-classes increase in intelligence,
        knowledge, and all virtue, in that same proportion their acute angle
        (which makes them physically terrible) shall increase also and
        approximate to their comparatively harmless angle of the Equilateral
        Triangle.  Thus, in the most brutal and formidable off the soldier
        class--creatures almost on a level with women in their lack of
        intelligence--it is found that, as they wax in the mental ability
        necessary to employ their tremendous penetrating power to advantage,
        so do they wane in the power of penetration itself.
        </p>

        <p>How admirable is the Law of Compensation!  And how perfect a proof
        of the natural fitness and, I may almost say, the divine origin of the
        aristocratic constitution of the States of Flatland!  By a juidicious
        use of this Law of Nature, the Polygons and Circles are almost always
        able to stifle sedition in its very cradle, taking advantage of the
        irrepressible and boundless hopefulness of the human mind.  Art also
        comes to the aid of Law and Order.  It is generally found
        possible--by a little artificial compression or
        expansion on the part of the
        State physicians--to make some of the more intelligent leaders of a
        rebellion perfectly Regular, and to admit them at once into the
        privileged classes; a much larger number, who are still below the
        standard, allured by the prospect of being ultimately ennobled, are
        induced to enter the State Hospitals, where they are kept in
        honourable confinement for life; one or two alone of the most
        obstinate, foolish, and hopelessly irregular are led to execution.
        </p>

        <p>Then the wretched rabble of the Isosceles, planless and
        leaderless, are ether transfixed without resistance by the small body
        of their brethren whom the Chief Circle keeps in pay for emergencies
        of this kind; or else more often, by means of jealousies and
        suspicious skillfully fomented among them by the Circular party, they
        are stirred to mutual warfare, and perish by one another's angles.  No
        less than one hundred and twenty rebellions are recorded in our
        annals, besides minor outbreaks numbered at two hundred and
        thirty-five; and they have all ended thus.
        </p>


        <p>&quot;What need of a certificate?&quot; a Spaceland critic may ask:
        &quot;Is not the procreation of a Square Son a certificate from Nature
        herself, proving the Equal-sidedness of the Father?&quot;  I reply that no
        Lady of any position will marry an uncertified Triangle.  Square
        offspring has sometimes resulted from a slightly Irregular Triangle;
        but in almost every such case the Irregularity of the first generation
        is visited on the third; which either fails to attain the Pentagonal
        rank, or relapses to the Triangular.
        </p>
        <h1>Flatland <br> A Romance of Many Dimensions</h1>

        <h2>Concerning the Inhabitants of Flatland
        </h2>

        <p><font size=+2>T</font>HE GREATEST length or breadth of a full grown inhabitant of
        Flatland may be estimated at about eleven of your inches.  Twelve
        inches may be regarded as a maximum.
        </p>

        <p>Our Women are Straight Lines.
        </p>

        <p>Our Soldiers and Lowest Class of Workmen are Triangles with two
        equal sides, each about eleven inches long, and a base or third side
        so short (often not exceeding half an inch) that they form at their
        vertices a very sharp and formidable angle.  Indeed when their bases
        are of the most degraded type (not more than the eighth part of an
        inch in size), they can hardly be distinguished from Straight lines or
        Women; so extremely pointed are their vertices.  With us, as with you,
        these Triangles are distinguished from others by being called
        Isosceles; and by this name I shall refer to them in the following
        pages.
        </p>

        <p>Our Middle Class consists of Equilateral or Equal-Sided Triangles.
        </p>

        <p>Our Professional Men and Gentlemen are Squares (to which class I
        myself belong) and Five-Sided Figures or Pentagons.
        </p>

        <p>Next above these come the Nobility, of whom there are several
        degrees, beginning at Six-Sided Figures, or Hexagons, and from thence
        rising in the number of their sides till they receive the honourable
        title of Polygonal, or many-Sided.  Finally when the number of the
        sides becomes so numerous, and the sides themselve so small, that the
        figure cannot be distinguished from a circle, he is included in the
        Circular or Priestly order; and this is the highest class of all.
        </p>

        <p>It is a Law of Nature with us that a male child shall have one
        more side than his father, so that each generation shall rise (as a
        rule) one step in the scale of development and nobility.  <blockquote>Thus the son
        of a Square is a Pentagon; the son of a Pentagon, a Hexagon; and so
        on.</blockquote>
        </p>

        <p>But this rule applies not always to the Tradesman, and still less
        often to the Soldiers, and to the Workmen; who indeed can hardly be
        said to deserve the name of human Figures, since they have not all
        their sides equal.  With them therefore the Law of Nature does not
        hold; and the son of an Isosceles (i.e. a Triangle with two sides
        equal) remains Isosceles still.  Nevertheless, all hope is not such
        out, even from the Isosceles, that his posterity may ultimately rise
        above his degraded condition.  For, after a long series of military
        successes, or diligent and skillful labours, it is generally found
        that the more intelligent among the Artisan and Soldier classes
        manifest a slight increase of their third side or base, and a
        shrinkage of the two other sides.  Intermarriages (arranged by the
        Priests) between the sons and daughters of these more intellectual
        members of the lower classes generally result in an offspring
        approximating still more to the type of the Equal-Sided Triangle.
        </p>

        <p>Rarely--in proportion to the vast numbers of Isosceles
        births--is a genuine and certifiable
        Equal-Sided Triangle produced from
        Isosceles parents. Such a birth requires, as its
        antecedents, not only a series of carefully arranged intermarriages,
        but also a long-continued exercise of frugality and self-control on
        the part of the would-be ancestors of the coming Equilateral, and a
        patient, systematic, and continuous development of the Isosceles
        intellect through many generations.
        </p>

        <p>The birth
         of a True Equilateral Triangle from Isosceles parents is
        the subject of rejoicing in our country for many furlongs round.
        After a strict examination conducted by the Sanitary and Social Board,
        the infant, if certified as Regular, is with solemn ceremonial
        admitted into the class of Equilaterals.  He is then immediately taken
        from his proud yet sorrowing parents and adopted by some childless
        Equilateral, who is bound by oath never to permit the child henceforth
        to enter his former home or so much as to look upon his relations
        again, for fear lest the freshly developed organism may, by force of
        unconscious imitation, fall back again into his hereditary level.
        </p>

        <p>The occasional emergence of an Equilateral from the ranks of his
        serf-born ancestors is welcomed, not only by the poor serfs
        themselves, as a gleam of light and hope shed upon the monotonous
        squalor of their existence, but also by the Aristocracy at large; for
        all the higher classes are well aware that these rare phenomena, while
        they do little or nothing to vulgarize their own privileges, serve as
        almost useful barrier against revolution from below.
        </p>

        <p>Had the acute-angled rabble been all, without exception,
        absolutely destitute of hope and of ambition, they might have found
        leaders in some of their many seditious outbreaks, so able as to
        render their superior numbers and strength too much even for the
        wisdom of the Circles.  But a wise ordinance of Nature has decreed
        that, in proportion as the working-classes increase in intelligence,
        knowledge, and all virtue, in that same proportion their acute angle
        (which makes them physically terrible) shall increase also and
        approximate to their comparatively harmless angle of the Equilateral
        Triangle.  Thus, in the most brutal and formidable off the soldier
        class--creatures almost on a level with women in their lack of
        intelligence--it is found that, as they wax in the mental ability
        necessary to employ their tremendous penetrating power to advantage,
        so do they wane in the power of penetration itself.
        </p>

        <p>How admirable is the Law of Compensation!  And how perfect a proof
        of the natural fitness and, I may almost say, the divine origin of the
        aristocratic constitution of the States of Flatland!  By a juidicious
        use of this Law of Nature, the Polygons and Circles are almost always
        able to stifle sedition in its very cradle, taking advantage of the
        irrepressible and boundless hopefulness of the human mind.  Art also
        comes to the aid of Law and Order.  It is generally found
        possible--by a little artificial compression or
        expansion on the part of the
        State physicians--to make some of the more intelligent leaders of a
        rebellion perfectly Regular, and to admit them at once into the
        privileged classes; a much larger number, who are still below the
        standard, allured by the prospect of being ultimately ennobled, are
        induced to enter the State Hospitals, where they are kept in
        honourable confinement for life; one or two alone of the most
        obstinate, foolish, and hopelessly irregular are led to execution.
        </p>

        <p>Then the wretched rabble of the Isosceles, planless and
        leaderless, are ether transfixed without resistance by the small body
        of their brethren whom the Chief Circle keeps in pay for emergencies
        of this kind; or else more often, by means of jealousies and
        suspicious skillfully fomented among them by the Circular party, they
        are stirred to mutual warfare, and perish by one another's angles.  No
        less than one hundred and twenty rebellions are recorded in our
        annals, besides minor outbreaks numbered at two hundred and
        thirty-five; and they have all ended thus.
        </p>


        <p>&quot;What need of a certificate?&quot; a Spaceland critic may ask:
        &quot;Is not the procreation of a Square Son a certificate from Nature
        herself, proving the Equal-sidedness of the Father?&quot;  I reply that no
        Lady of any position will marry an uncertified Triangle.  Square
        offspring has sometimes resulted from a slightly Irregular Triangle;
        but in almost every such case the Irregularity of the first generation
        is visited on the third; which either fails to attain the Pentagonal
        rank, or relapses to the Triangular.
        </p>
        <p><font size=+2>T</font>HE GREATEST length or breadth of a full grown inhabitant of
        Flatland may be estimated at about eleven of your inches.  Twelve
        inches may be regarded as a maximum.
        </p>

        <p>Our Women are Straight Lines.
        </p>

        <p>Our Soldiers and Lowest Class of Workmen are Triangles with two
        equal sides, each about eleven inches long, and a base or third side
        so short (often not exceeding half an inch) that they form at their
        vertices a very sharp and formidable angle.  Indeed when their bases
        are of the most degraded type (not more than the eighth part of an
        inch in size), they can hardly be distinguished from Straight lines or
        Women; so extremely pointed are their vertices.  With us, as with you,
        these Triangles are distinguished from others by being called
        Isosceles; and by this name I shall refer to them in the following
        pages.
        </p>

        <p>Our Middle Class consists of Equilateral or Equal-Sided Triangles.
        </p>

        <p>Our Professional Men and Gentlemen are Squares (to which class I
        myself belong) and Five-Sided Figures or Pentagons.
        </p>

        <p>Next above these come the Nobility, of whom there are several
        degrees, beginning at Six-Sided Figures, or Hexagons, and from thence
        rising in the number of their sides till they receive the honourable
        title of Polygonal, or many-Sided.  Finally when the number of the
        sides becomes so numerous, and the sides themselve so small, that the
        figure cannot be distinguished from a circle, he is included in the
        Circular or Priestly order; and this is the highest class of all.
        </p>

        <p>It is a Law of Nature with us that a male child shall have one
        more side than his father, so that each generation shall rise (as a
        rule) one step in the scale of development and nobility.  <blockquote>Thus the son
        of a Square is a Pentagon; the son of a Pentagon, a Hexagon; and so
        on.</blockquote>
        </p>

        <p>But this rule applies not always to the Tradesman, and still less
        often to the Soldiers, and to the Workmen; who indeed can hardly be
        said to deserve the name of human Figures, since they have not all
        their sides equal.  With them therefore the Law of Nature does not
        hold; and the son of an Isosceles (i.e. a Triangle with two sides
        equal) remains Isosceles still.  Nevertheless, all hope is not such
        out, even from the Isosceles, that his posterity may ultimately rise
        above his degraded condition.  For, after a long series of military
        successes, or diligent and skillful labours, it is generally found
        that the more intelligent among the Artisan and Soldier classes
        manifest a slight increase of their third side or base, and a
        shrinkage of the two other sides.  Intermarriages (arranged by the
        Priests) between the sons and daughters of these more intellectual
        members of the lower classes generally result in an offspring
        approximating still more to the type of the Equal-Sided Triangle.
        </p>

        <p>Rarely--in proportion to the vast numbers of Isosceles
        births--is a genuine and certifiable
        Equal-Sided Triangle produced from
        Isosceles parents. Such a birth requires, as its
        antecedents, not only a series of carefully arranged intermarriages,
        but also a long-continued exercise of frugality and self-control on
        the part of the would-be ancestors of the coming Equilateral, and a
        patient, systematic, and continuous development of the Isosceles
        intellect through many generations.
        </p>

        <p>The birth
         of a True Equilateral Triangle from Isosceles parents is
        the subject of rejoicing in our country for many furlongs round.
        After a strict examination conducted by the Sanitary and Social Board,
        the infant, if certified as Regular, is with solemn ceremonial
        admitted into the class of Equilaterals.  He is then immediately taken
        from his proud yet sorrowing parents and adopted by some childless
        Equilateral, who is bound by oath never to permit the child henceforth
        to enter his former home or so much as to look upon his relations
        again, for fear lest the freshly developed organism may, by force of
        unconscious imitation, fall back again into his hereditary level.
        </p>

        <p>The occasional emergence of an Equilateral from the ranks of his
        serf-born ancestors is welcomed, not only by the poor serfs
        themselves, as a gleam of light and hope shed upon the monotonous
        squalor of their existence, but also by the Aristocracy at large; for
        all the higher classes are well aware that these rare phenomena, while
        they do little or nothing to vulgarize their own privileges, serve as
        almost useful barrier against revolution from below.
        </p>

        <p>Had the acute-angled rabble been all, without exception,
        absolutely destitute of hope and of ambition, they might have found
        leaders in some of their many seditious outbreaks, so able as to
        render their superior numbers and strength too much even for the
        wisdom of the Circles.  But a wise ordinance of Nature has decreed
        that, in proportion as the working-classes increase in intelligence,
        knowledge, and all virtue, in that same proportion their acute angle
        (which makes them physically terrible) shall increase also and
        approximate to their comparatively harmless angle of the Equilateral
        Triangle.  Thus, in the most brutal and formidable off the soldier
        class--creatures almost on a level with women in their lack of
        intelligence--it is found that, as they wax in the mental ability
        necessary to employ their tremendous penetrating power to advantage,
        so do they wane in the power of penetration itself.
        </p>

        <p>How admirable is the Law of Compensation!  And how perfect a proof
        of the natural fitness and, I may almost say, the divine origin of the
        aristocratic constitution of the States of Flatland!  By a juidicious
        use of this Law of Nature, the Polygons and Circles are almost always
        able to stifle sedition in its very cradle, taking advantage of the
        irrepressible and boundless hopefulness of the human mind.  Art also
        comes to the aid of Law and Order.  It is generally found
        possible--by a little artificial compression or
        expansion on the part of the
        State physicians--to make some of the more intelligent leaders of a
        rebellion perfectly Regular, and to admit them at once into the
        privileged classes; a much larger number, who are still below the
        standard, allured by the prospect of being ultimately ennobled, are
        induced to enter the State Hospitals, where they are kept in
        honourable confinement for life; one or two alone of the most
        obstinate, foolish, and hopelessly irregular are led to execution.
        </p>

        <p>Then the wretched rabble of the Isosceles, planless and
        leaderless, are ether transfixed without resistance by the small body
        of their brethren whom the Chief Circle keeps in pay for emergencies
        of this kind; or else more often, by means of jealousies and
        suspicious skillfully fomented among them by the Circular party, they
        are stirred to mutual warfare, and perish by one another's angles.  No
        less than one hundred and twenty rebellions are recorded in our
        annals, besides minor outbreaks numbered at two hundred and
        thirty-five; and they have all ended thus.
        </p>


        <p>&quot;What need of a certificate?&quot; a Spaceland critic may ask:
        &quot;Is not the procreation of a Square Son a certificate from Nature
        herself, proving the Equal-sidedness of the Father?&quot;  I reply that no
        Lady of any position will marry an uncertified Triangle.  Square
        offspring has sometimes resulted from a slightly Irregular Triangle;
        but in almost every such case the Irregularity of the first generation
        is visited on the third; which either fails to attain the Pentagonal
        rank, or relapses to the Triangular.
        </p>

        <p><font size=+2>T</font>HE GREATEST length or breadth of a full grown inhabitant of
        Flatland may be estimated at about eleven of your inches.  Twelve
        inches may be regarded as a maximum.
        </p>

        <p>Our Women are Straight Lines.
        </p>

        <p>Our Soldiers and Lowest Class of Workmen are Triangles with two
        equal sides, each about eleven inches long, and a base or third side
        so short (often not exceeding half an inch) that they form at their
        vertices a very sharp and formidable angle.  Indeed when their bases
        are of the most degraded type (not more than the eighth part of an
        inch in size), they can hardly be distinguished from Straight lines or
        Women; so extremely pointed are their vertices.  With us, as with you,
        these Triangles are distinguished from others by being called
        Isosceles; and by this name I shall refer to them in the following
        pages.
        </p>

        <p>Our Middle Class consists of Equilateral or Equal-Sided Triangles.
        </p>

        <p>Our Professional Men and Gentlemen are Squares (to which class I
        myself belong) and Five-Sided Figures or Pentagons.
        </p>

        <p>Next above these come the Nobility, of whom there are several
        degrees, beginning at Six-Sided Figures, or Hexagons, and from thence
        rising in the number of their sides till they receive the honourable
        title of Polygonal, or many-Sided.  Finally when the number of the
        sides becomes so numerous, and the sides themselve so small, that the
        figure cannot be distinguished from a circle, he is included in the
        Circular or Priestly order; and this is the highest class of all.
        </p>

        <p>It is a Law of Nature with us that a male child shall have one
        more side than his father, so that each generation shall rise (as a
        rule) one step in the scale of development and nobility.  <blockquote>Thus the son
        of a Square is a Pentagon; the son of a Pentagon, a Hexagon; and so
        on.</blockquote>
        </p>

        <p>But this rule applies not always to the Tradesman, and still less
        often to the Soldiers, and to the Workmen; who indeed can hardly be
        said to deserve the name of human Figures, since they have not all
        their sides equal.  With them therefore the Law of Nature does not
        hold; and the son of an Isosceles (i.e. a Triangle with two sides
        equal) remains Isosceles still.  Nevertheless, all hope is not such
        out, even from the Isosceles, that his posterity may ultimately rise
        above his degraded condition.  For, after a long series of military
        successes, or diligent and skillful labours, it is generally found
        that the more intelligent among the Artisan and Soldier classes
        manifest a slight increase of their third side or base, and a
        shrinkage of the two other sides.  Intermarriages (arranged by the
        Priests) between the sons and daughters of these more intellectual
        members of the lower classes generally result in an offspring
        approximating still more to the type of the Equal-Sided Triangle.
        </p>

        <p>Rarely--in proportion to the vast numbers of Isosceles
        births--is a genuine and certifiable
        Equal-Sided Triangle produced from
        Isosceles parents. Such a birth requires, as its
        antecedents, not only a series of carefully arranged intermarriages,
        but also a long-continued exercise of frugality and self-control on
        the part of the would-be ancestors of the coming Equilateral, and a
        patient, systematic, and continuous development of the Isosceles
        intellect through many generations.
        </p>

        <p>The birth
         of a True Equilateral Triangle from Isosceles parents is
        the subject of rejoicing in our country for many furlongs round.
        After a strict examination conducted by the Sanitary and Social Board,
        the infant, if certified as Regular, is with solemn ceremonial
        admitted into the class of Equilaterals.  He is then immediately taken
        from his proud yet sorrowing parents and adopted by some childless
        Equilateral, who is bound by oath never to permit the child henceforth
        to enter his former home or so much as to look upon his relations
        again, for fear lest the freshly developed organism may, by force of
        unconscious imitation, fall back again into his hereditary level.
        </p>

        <p>The occasional emergence of an Equilateral from the ranks of his
        serf-born ancestors is welcomed, not only by the poor serfs
        themselves, as a gleam of light and hope shed upon the monotonous
        squalor of their existence, but also by the Aristocracy at large; for
        all the higher classes are well aware that these rare phenomena, while
        they do little or nothing to vulgarize their own privileges, serve as
        almost useful barrier against revolution from below.
        </p>

        <p>Had the acute-angled rabble been all, without exception,
        absolutely destitute of hope and of ambition, they might have found
        leaders in some of their many seditious outbreaks, so able as to
        render their superior numbers and strength too much even for the
        wisdom of the Circles.  But a wise ordinance of Nature has decreed
        that, in proportion as the working-classes increase in intelligence,
        knowledge, and all virtue, in that same proportion their acute angle
        (which makes them physically terrible) shall increase also and
        approximate to their comparatively harmless angle of the Equilateral
        Triangle.  Thus, in the most brutal and formidable off the soldier
        class--creatures almost on a level with women in their lack of
        intelligence--it is found that, as they wax in the mental ability
        necessary to employ their tremendous penetrating power to advantage,
        so do they wane in the power of penetration itself.
        </p>

        <p>How admirable is the Law of Compensation!  And how perfect a proof
        of the natural fitness and, I may almost say, the divine origin of the
        aristocratic constitution of the States of Flatland!  By a juidicious
        use of this Law of Nature, the Polygons and Circles are almost always
        able to stifle sedition in its very cradle, taking advantage of the
        irrepressible and boundless hopefulness of the human mind.  Art also
        comes to the aid of Law and Order.  It is generally found
        possible--by a little artificial compression or
        expansion on the part of the
        State physicians--to make some of the more intelligent leaders of a
        rebellion perfectly Regular, and to admit them at once into the
        privileged classes; a much larger number, who are still below the
        standard, allured by the prospect of being ultimately ennobled, are
        induced to enter the State Hospitals, where they are kept in
        honourable confinement for life; one or two alone of the most
        obstinate, foolish, and hopelessly irregular are led to execution.
        </p>

        <p>Then the wretched rabble of the Isosceles, planless and
        leaderless, are ether transfixed without resistance by the small body
        of their brethren whom the Chief Circle keeps in pay for emergencies
        of this kind; or else more often, by means of jealousies and
        suspicious skillfully fomented among them by the Circular party, they
        are stirred to mutual warfare, and perish by one another's angles.  No
        less than one hundred and twenty rebellions are recorded in our
        annals, besides minor outbreaks numbered at two hundred and
        thirty-five; and they have all ended thus.
        </p>


        <p>&quot;What need of a certificate?&quot; a Spaceland critic may ask:
        &quot;Is not the procreation of a Square Son a certificate from Nature
        herself, proving the Equal-sidedness of the Father?&quot;  I reply that no
        Lady of any position will marry an uncertified Triangle.  Square
        offspring has sometimes resulted from a slightly Irregular Triangle;
        but in almost every such case the Irregularity of the first generation
        is visited on the third; which either fails to attain the Pentagonal
        rank, or relapses to the Triangular.
        </p>
        <h1>Flatland <br> A Romance of Many Dimensions</h1>

        <h2>Concerning the Inhabitants of Flatland
        </h2>

        <p><font size=+2>T</font>HE GREATEST length or breadth of a full grown inhabitant of
        Flatland may be estimated at about eleven of your inches.  Twelve
        inches may be regarded as a maximum.
        </p>

        <p>Our Women are Straight Lines.
        </p>

        <p>Our Soldiers and Lowest Class of Workmen are Triangles with two
        equal sides, each about eleven inches long, and a base or third side
        so short (often not exceeding half an inch) that they form at their
        vertices a very sharp and formidable angle.  Indeed when their bases
        are of the most degraded type (not more than the eighth part of an
        inch in size), they can hardly be distinguished from Straight lines or
        Women; so extremely pointed are their vertices.  With us, as with you,
        these Triangles are distinguished from others by being called
        Isosceles; and by this name I shall refer to them in the following
        pages.
        </p>

        <p>Our Middle Class consists of Equilateral or Equal-Sided Triangles.
        </p>

        <p>Our Professional Men and Gentlemen are Squares (to which class I
        myself belong) and Five-Sided Figures or Pentagons.
        </p>

        <p>Next above these come the Nobility, of whom there are several
        degrees, beginning at Six-Sided Figures, or Hexagons, and from thence
        rising in the number of their sides till they receive the honourable
        title of Polygonal, or many-Sided.  Finally when the number of the
        sides becomes so numerous, and the sides themselve so small, that the
        figure cannot be distinguished from a circle, he is included in the
        Circular or Priestly order; and this is the highest class of all.
        </p>

        <p>It is a Law of Nature with us that a male child shall have one
        more side than his father, so that each generation shall rise (as a
        rule) one step in the scale of development and nobility.  <blockquote>Thus the son
        of a Square is a Pentagon; the son of a Pentagon, a Hexagon; and so
        on.</blockquote>
        </p>

        <p>But this rule applies not always to the Tradesman, and still less
        often to the Soldiers, and to the Workmen; who indeed can hardly be
        said to deserve the name of human Figures, since they have not all
        their sides equal.  With them therefore the Law of Nature does not
        hold; and the son of an Isosceles (i.e. a Triangle with two sides
        equal) remains Isosceles still.  Nevertheless, all hope is not such
        out, even from the Isosceles, that his posterity may ultimately rise
        above his degraded condition.  For, after a long series of military
        successes, or diligent and skillful labours, it is generally found
        that the more intelligent among the Artisan and Soldier classes
        manifest a slight increase of their third side or base, and a
        shrinkage of the two other sides.  Intermarriages (arranged by the
        Priests) between the sons and daughters of these more intellectual
        members of the lower classes generally result in an offspring
        approximating still more to the type of the Equal-Sided Triangle.
        </p>

        <p>Rarely--in proportion to the vast numbers of Isosceles
        births--is a genuine and certifiable
        Equal-Sided Triangle produced from
        Isosceles parents. Such a birth requires, as its
        antecedents, not only a series of carefully arranged intermarriages,
        but also a long-continued exercise of frugality and self-control on
        the part of the would-be ancestors of the coming Equilateral, and a
        patient, systematic, and continuous development of the Isosceles
        intellect through many generations.
        </p>

        <p>The birth
         of a True Equilateral Triangle from Isosceles parents is
        the subject of rejoicing in our country for many furlongs round.
        After a strict examination conducted by the Sanitary and Social Board,
        the infant, if certified as Regular, is with solemn ceremonial
        admitted into the class of Equilaterals.  He is then immediately taken
        from his proud yet sorrowing parents and adopted by some childless
        Equilateral, who is bound by oath never to permit the child henceforth
        to enter his former home or so much as to look upon his relations
        again, for fear lest the freshly developed organism may, by force of
        unconscious imitation, fall back again into his hereditary level.
        </p>

        <p>The occasional emergence of an Equilateral from the ranks of his
        serf-born ancestors is welcomed, not only by the poor serfs
        themselves, as a gleam of light and hope shed upon the monotonous
        squalor of their existence, but also by the Aristocracy at large; for
        all the higher classes are well aware that these rare phenomena, while
        they do little or nothing to vulgarize their own privileges, serve as
        almost useful barrier against revolution from below.
        </p>

        <p>Had the acute-angled rabble been all, without exception,
        absolutely destitute of hope and of ambition, they might have found
        leaders in some of their many seditious outbreaks, so able as to
        render their superior numbers and strength too much even for the
        wisdom of the Circles.  But a wise ordinance of Nature has decreed
        that, in proportion as the working-classes increase in intelligence,
        knowledge, and all virtue, in that same proportion their acute angle
        (which makes them physically terrible) shall increase also and
        approximate to their comparatively harmless angle of the Equilateral
        Triangle.  Thus, in the most brutal and formidable off the soldier
        class--creatures almost on a level with women in their lack of
        intelligence--it is found that, as they wax in the mental ability
        necessary to employ their tremendous penetrating power to advantage,
        so do they wane in the power of penetration itself.
        </p>

        <p>How admirable is the Law of Compensation!  And how perfect a proof
        of the natural fitness and, I may almost say, the divine origin of the
        aristocratic constitution of the States of Flatland!  By a juidicious
        use of this Law of Nature, the Polygons and Circles are almost always
        able to stifle sedition in its very cradle, taking advantage of the
        irrepressible and boundless hopefulness of the human mind.  Art also
        comes to the aid of Law and Order.  It is generally found
        possible--by a little artificial compression or
        expansion on the part of the
        State physicians--to make some of the more intelligent leaders of a
        rebellion perfectly Regular, and to admit them at once into the
        privileged classes; a much larger number, who are still below the
        standard, allured by the prospect of being ultimately ennobled, are
        induced to enter the State Hospitals, where they are kept in
        honourable confinement for life; one or two alone of the most
        obstinate, foolish, and hopelessly irregular are led to execution.
        </p>

        <p>Then the wretched rabble of the Isosceles, planless and
        leaderless, are ether transfixed without resistance by the small body
        of their brethren whom the Chief Circle keeps in pay for emergencies
        of this kind; or else more often, by means of jealousies and
        suspicious skillfully fomented among them by the Circular party, they
        are stirred to mutual warfare, and perish by one another's angles.  No
        less than one hundred and twenty rebellions are recorded in our
        annals, besides minor outbreaks numbered at two hundred and
        thirty-five; and they have all ended thus.
        </p>


        <p>&quot;What need of a certificate?&quot; a Spaceland critic may ask:
        &quot;Is not the procreation of a Square Son a certificate from Nature
        herself, proving the Equal-sidedness of the Father?&quot;  I reply that no
        Lady of any position will marry an uncertified Triangle.  Square
        offspring has sometimes resulted from a slightly Irregular Triangle;
        but in almost every such case the Irregularity of the first generation
        is visited on the third; which either fails to attain the Pentagonal
        rank, or relapses to the Triangular.
        </p>
        <p><font size=+2>T</font>HE GREATEST length or breadth of a full grown inhabitant of
        Flatland may be estimated at about eleven of your inches.  Twelve
        inches may be regarded as a maximum.
        </p>

        <p>Our Women are Straight Lines.
        </p>

        <p>Our Soldiers and Lowest Class of Workmen are Triangles with two
        equal sides, each about eleven inches long, and a base or third side
        so short (often not exceeding half an inch) that they form at their
        vertices a very sharp and formidable angle.  Indeed when their bases
        are of the most degraded type (not more than the eighth part of an
        inch in size), they can hardly be distinguished from Straight lines or
        Women; so extremely pointed are their vertices.  With us, as with you,
        these Triangles are distinguished from others by being called
        Isosceles; and by this name I shall refer to them in the following
        pages.
        </p>

        <p>Our Middle Class consists of Equilateral or Equal-Sided Triangles.
        </p>

        <p>Our Professional Men and Gentlemen are Squares (to which class I
        myself belong) and Five-Sided Figures or Pentagons.
        </p>

        <p>Next above these come the Nobility, of whom there are several
        degrees, beginning at Six-Sided Figures, or Hexagons, and from thence
        rising in the number of their sides till they receive the honourable
        title of Polygonal, or many-Sided.  Finally when the number of the
        sides becomes so numerous, and the sides themselve so small, that the
        figure cannot be distinguished from a circle, he is included in the
        Circular or Priestly order; and this is the highest class of all.
        </p>

        <p>It is a Law of Nature with us that a male child shall have one
        more side than his father, so that each generation shall rise (as a
        rule) one step in the scale of development and nobility.  <blockquote>Thus the son
        of a Square is a Pentagon; the son of a Pentagon, a Hexagon; and so
        on.</blockquote>
        </p>

        <p>But this rule applies not always to the Tradesman, and still less
        often to the Soldiers, and to the Workmen; who indeed can hardly be
        said to deserve the name of human Figures, since they have not all
        their sides equal.  With them therefore the Law of Nature does not
        hold; and the son of an Isosceles (i.e. a Triangle with two sides
        equal) remains Isosceles still.  Nevertheless, all hope is not such
        out, even from the Isosceles, that his posterity may ultimately rise
        above his degraded condition.  For, after a long series of military
        successes, or diligent and skillful labours, it is generally found
        that the more intelligent among the Artisan and Soldier classes
        manifest a slight increase of their third side or base, and a
        shrinkage of the two other sides.  Intermarriages (arranged by the
        Priests) between the sons and daughters of these more intellectual
        members of the lower classes generally result in an offspring
        approximating still more to the type of the Equal-Sided Triangle.
        </p>

        <p>Rarely--in proportion to the vast numbers of Isosceles
        births--is a genuine and certifiable
        Equal-Sided Triangle produced from
        Isosceles parents. Such a birth requires, as its
        antecedents, not only a series of carefully arranged intermarriages,
        but also a long-continued exercise of frugality and self-control on
        the part of the would-be ancestors of the coming Equilateral, and a
        patient, systematic, and continuous development of the Isosceles
        intellect through many generations.
        </p>

        <p>The birth
         of a True Equilateral Triangle from Isosceles parents is
        the subject of rejoicing in our country for many furlongs round.
        After a strict examination conducted by the Sanitary and Social Board,
        the infant, if certified as Regular, is with solemn ceremonial
        admitted into the class of Equilaterals.  He is then immediately taken
        from his proud yet sorrowing parents and adopted by some childless
        Equilateral, who is bound by oath never to permit the child henceforth
        to enter his former home or so much as to look upon his relations
        again, for fear lest the freshly developed organism may, by force of
        unconscious imitation, fall back again into his hereditary level.
        </p>

        <p>The occasional emergence of an Equilateral from the ranks of his
        serf-born ancestors is welcomed, not only by the poor serfs
        themselves, as a gleam of light and hope shed upon the monotonous
        squalor of their existence, but also by the Aristocracy at large; for
        all the higher classes are well aware that these rare phenomena, while
        they do little or nothing to vulgarize their own privileges, serve as
        almost useful barrier against revolution from below.
        </p>

        <p>Had the acute-angled rabble been all, without exception,
        absolutely destitute of hope and of ambition, they might have found
        leaders in some of their many seditious outbreaks, so able as to
        render their superior numbers and strength too much even for the
        wisdom of the Circles.  But a wise ordinance of Nature has decreed
        that, in proportion as the working-classes increase in intelligence,
        knowledge, and all virtue, in that same proportion their acute angle
        (which makes them physically terrible) shall increase also and
        approximate to their comparatively harmless angle of the Equilateral
        Triangle.  Thus, in the most brutal and formidable off the soldier
        class--creatures almost on a level with women in their lack of
        intelligence--it is found that, as they wax in the mental ability
        necessary to employ their tremendous penetrating power to advantage,
        so do they wane in the power of penetration itself.
        </p>

        <p>How admirable is the Law of Compensation!  And how perfect a proof
        of the natural fitness and, I may almost say, the divine origin of the
        aristocratic constitution of the States of Flatland!  By a juidicious
        use of this Law of Nature, the Polygons and Circles are almost always
        able to stifle sedition in its very cradle, taking advantage of the
        irrepressible and boundless hopefulness of the human mind.  Art also
        comes to the aid of Law and Order.  It is generally found
        possible--by a little artificial compression or
        expansion on the part of the
        State physicians--to make some of the more intelligent leaders of a
        rebellion perfectly Regular, and to admit them at once into the
        privileged classes; a much larger number, who are still below the
        standard, allured by the prospect of being ultimately ennobled, are
        induced to enter the State Hospitals, where they are kept in
        honourable confinement for life; one or two alone of the most
        obstinate, foolish, and hopelessly irregular are led to execution.
        </p>

        <p>Then the wretched rabble of the Isosceles, planless and
        leaderless, are ether transfixed without resistance by the small body
        of their brethren whom the Chief Circle keeps in pay for emergencies
        of this kind; or else more often, by means of jealousies and
        suspicious skillfully fomented among them by the Circular party, they
        are stirred to mutual warfare, and perish by one another's angles.  No
        less than one hundred and twenty rebellions are recorded in our
        annals, besides minor outbreaks numbered at two hundred and
        thirty-five; and they have all ended thus.
        </p>


        <p>&quot;What need of a certificate?&quot; a Spaceland critic may ask:
        &quot;Is not the procreation of a Square Son a certificate from Nature
        herself, proving the Equal-sidedness of the Father?&quot;  I reply that no
        Lady of any position will marry an uncertified Triangle.  Square
        offspring has sometimes resulted from a slightly Irregular Triangle;
        but in almost every such case the Irregularity of the first generation
        is visited on the third; which either fails to attain the Pentagonal
        rank, or relapses to the Triangular.
        </p>

        <p><font size=+2>T</font>HE GREATEST length or breadth of a full grown inhabitant of
        Flatland may be estimated at about eleven of your inches.  Twelve
        inches may be regarded as a maximum.
        </p>

        <p>Our Women are Straight Lines.
        </p>

        <p>Our Soldiers and Lowest Class of Workmen are Triangles with two
        equal sides, each about eleven inches long, and a base or third side
        so short (often not exceeding half an inch) that they form at their
        vertices a very sharp and formidable angle.  Indeed when their bases
        are of the most degraded type (not more than the eighth part of an
        inch in size), they can hardly be distinguished from Straight lines or
        Women; so extremely pointed are their vertices.  With us, as with you,
        these Triangles are distinguished from others by being called
        Isosceles; and by this name I shall refer to them in the following
        pages.
        </p>

        <p>Our Middle Class consists of Equilateral or Equal-Sided Triangles.
        </p>

        <p>Our Professional Men and Gentlemen are Squares (to which class I
        myself belong) and Five-Sided Figures or Pentagons.
        </p>

        <p>Next above these come the Nobility, of whom there are several
        degrees, beginning at Six-Sided Figures, or Hexagons, and from thence
        rising in the number of their sides till they receive the honourable
        title of Polygonal, or many-Sided.  Finally when the number of the
        sides becomes so numerous, and the sides themselve so small, that the
        figure cannot be distinguished from a circle, he is included in the
        Circular or Priestly order; and this is the highest class of all.
        </p>

        <p>It is a Law of Nature with us that a male child shall have one
        more side than his father, so that each generation shall rise (as a
        rule) one step in the scale of development and nobility.  <blockquote>Thus the son
        of a Square is a Pentagon; the son of a Pentagon, a Hexagon; and so
        on.</blockquote>
        </p>

        <p>But this rule applies not always to the Tradesman, and still less
        often to the Soldiers, and to the Workmen; who indeed can hardly be
        said to deserve the name of human Figures, since they have not all
        their sides equal.  With them therefore the Law of Nature does not
        hold; and the son of an Isosceles (i.e. a Triangle with two sides
        equal) remains Isosceles still.  Nevertheless, all hope is not such
        out, even from the Isosceles, that his posterity may ultimately rise
        above his degraded condition.  For, after a long series of military
        successes, or diligent and skillful labours, it is generally found
        that the more intelligent among the Artisan and Soldier classes
        manifest a slight increase of their third side or base, and a
        shrinkage of the two other sides.  Intermarriages (arranged by the
        Priests) between the sons and daughters of these more intellectual
        members of the lower classes generally result in an offspring
        approximating still more to the type of the Equal-Sided Triangle.
        </p>

        <p>Rarely--in proportion to the vast numbers of Isosceles
        births--is a genuine and certifiable
        Equal-Sided Triangle produced from
        Isosceles parents. Such a birth requires, as its
        antecedents, not only a series of carefully arranged intermarriages,
        but also a long-continued exercise of frugality and self-control on
        the part of the would-be ancestors of the coming Equilateral, and a
        patient, systematic, and continuous development of the Isosceles
        intellect through many generations.
        </p>

        <p>The birth
         of a True Equilateral Triangle from Isosceles parents is
        the subject of rejoicing in our country for many furlongs round.
        After a strict examination conducted by the Sanitary and Social Board,
        the infant, if certified as Regular, is with solemn ceremonial
        admitted into the class of Equilaterals.  He is then immediately taken
        from his proud yet sorrowing parents and adopted by some childless
        Equilateral, who is bound by oath never to permit the child henceforth
        to enter his former home or so much as to look upon his relations
        again, for fear lest the freshly developed organism may, by force of
        unconscious imitation, fall back again into his hereditary level.
        </p>

        <p>The occasional emergence of an Equilateral from the ranks of his
        serf-born ancestors is welcomed, not only by the poor serfs
        themselves, as a gleam of light and hope shed upon the monotonous
        squalor of their existence, but also by the Aristocracy at large; for
        all the higher classes are well aware that these rare phenomena, while
        they do little or nothing to vulgarize their own privileges, serve as
        almost useful barrier against revolution from below.
        </p>

        <p>Had the acute-angled rabble been all, without exception,
        absolutely destitute of hope and of ambition, they might have found
        leaders in some of their many seditious outbreaks, so able as to
        render their superior numbers and strength too much even for the
        wisdom of the Circles.  But a wise ordinance of Nature has decreed
        that, in proportion as the working-classes increase in intelligence,
        knowledge, and all virtue, in that same proportion their acute angle
        (which makes them physically terrible) shall increase also and
        approximate to their comparatively harmless angle of the Equilateral
        Triangle.  Thus, in the most brutal and formidable off the soldier
        class--creatures almost on a level with women in their lack of
        intelligence--it is found that, as they wax in the mental ability
        necessary to employ their tremendous penetrating power to advantage,
        so do they wane in the power of penetration itself.
        </p>

        <p>How admirable is the Law of Compensation!  And how perfect a proof
        of the natural fitness and, I may almost say, the divine origin of the
        aristocratic constitution of the States of Flatland!  By a juidicious
        use of this Law of Nature, the Polygons and Circles are almost always
        able to stifle sedition in its very cradle, taking advantage of the
        irrepressible and boundless hopefulness of the human mind.  Art also
        comes to the aid of Law and Order.  It is generally found
        possible--by a little artificial compression or
        expansion on the part of the
        State physicians--to make some of the more intelligent leaders of a
        rebellion perfectly Regular, and to admit them at once into the
        privileged classes; a much larger number, who are still below the
        standard, allured by the prospect of being ultimately ennobled, are
        induced to enter the State Hospitals, where they are kept in
        honourable confinement for life; one or two alone of the most
        obstinate, foolish, and hopelessly irregular are led to execution.
        </p>

        <p>Then the wretched rabble of the Isosceles, planless and
        leaderless, are ether transfixed without resistance by the small body
        of their brethren whom the Chief Circle keeps in pay for emergencies
        of this kind; or else more often, by means of jealousies and
        suspicious skillfully fomented among them by the Circular party, they
        are stirred to mutual warfare, and perish by one another's angles.  No
        less than one hundred and twenty rebellions are recorded in our
        annals, besides minor outbreaks numbered at two hundred and
        thirty-five; and they have all ended thus.
        </p>


        <p>&quot;What need of a certificate?&quot; a Spaceland critic may ask:
        &quot;Is not the procreation of a Square Son a certificate from Nature
        herself, proving the Equal-sidedness of the Father?&quot;  I reply that no
        Lady of any position will marry an uncertified Triangle.  Square
        offspring has sometimes resulted from a slightly Irregular Triangle;
        but in almost every such case the Irregularity of the first generation
        is visited on the third; which either fails to attain the Pentagonal
        rank, or relapses to the Triangular.
        </p>
        <h1>Flatland <br> A Romance of Many Dimensions</h1>

        <h2>Concerning the Inhabitants of Flatland
        </h2>

        <p><font size=+2>T</font>HE GREATEST length or breadth of a full grown inhabitant of
        Flatland may be estimated at about eleven of your inches.  Twelve
        inches may be regarded as a maximum.
        </p>

        <p>Our Women are Straight Lines.
        </p>

        <p>Our Soldiers and Lowest Class of Workmen are Triangles with two
        equal sides, each about eleven inches long, and a base or third side
        so short (often not exceeding half an inch) that they form at their
        vertices a very sharp and formidable angle.  Indeed when their bases
        are of the most degraded type (not more than the eighth part of an
        inch in size), they can hardly be distinguished from Straight lines or
        Women; so extremely pointed are their vertices.  With us, as with you,
        these Triangles are distinguished from others by being called
        Isosceles; and by this name I shall refer to them in the following
        pages.
        </p>

        <p>Our Middle Class consists of Equilateral or Equal-Sided Triangles.
        </p>

        <p>Our Professional Men and Gentlemen are Squares (to which class I
        myself belong) and Five-Sided Figures or Pentagons.
        </p>

        <p>Next above these come the Nobility, of whom there are several
        degrees, beginning at Six-Sided Figures, or Hexagons, and from thence
        rising in the number of their sides till they receive the honourable
        title of Polygonal, or many-Sided.  Finally when the number of the
        sides becomes so numerous, and the sides themselve so small, that the
        figure cannot be distinguished from a circle, he is included in the
        Circular or Priestly order; and this is the highest class of all.
        </p>

        <p>It is a Law of Nature with us that a male child shall have one
        more side than his father, so that each generation shall rise (as a
        rule) one step in the scale of development and nobility.  <blockquote>Thus the son
        of a Square is a Pentagon; the son of a Pentagon, a Hexagon; and so
        on.</blockquote>
        </p>

        <p>But this rule applies not always to the Tradesman, and still less
        often to the Soldiers, and to the Workmen; who indeed can hardly be
        said to deserve the name of human Figures, since they have not all
        their sides equal.  With them therefore the Law of Nature does not
        hold; and the son of an Isosceles (i.e. a Triangle with two sides
        equal) remains Isosceles still.  Nevertheless, all hope is not such
        out, even from the Isosceles, that his posterity may ultimately rise
        above his degraded condition.  For, after a long series of military
        successes, or diligent and skillful labours, it is generally found
        that the more intelligent among the Artisan and Soldier classes
        manifest a slight increase of their third side or base, and a
        shrinkage of the two other sides.  Intermarriages (arranged by the
        Priests) between the sons and daughters of these more intellectual
        members of the lower classes generally result in an offspring
        approximating still more to the type of the Equal-Sided Triangle.
        </p>

        <p>Rarely--in proportion to the vast numbers of Isosceles
        births--is a genuine and certifiable
        Equal-Sided Triangle produced from
        Isosceles parents. Such a birth requires, as its
        antecedents, not only a series of carefully arranged intermarriages,
        but also a long-continued exercise of frugality and self-control on
        the part of the would-be ancestors of the coming Equilateral, and a
        patient, systematic, and continuous development of the Isosceles
        intellect through many generations.
        </p>

        <p>The birth
         of a True Equilateral Triangle from Isosceles parents is
        the subject of rejoicing in our country for many furlongs round.
        After a strict examination conducted by the Sanitary and Social Board,
        the infant, if certified as Regular, is with solemn ceremonial
        admitted into the class of Equilaterals.  He is then immediately taken
        from his proud yet sorrowing parents and adopted by some childless
        Equilateral, who is bound by oath never to permit the child henceforth
        to enter his former home or so much as to look upon his relations
        again, for fear lest the freshly developed organism may, by force of
        unconscious imitation, fall back again into his hereditary level.
        </p>

        <p>The occasional emergence of an Equilateral from the ranks of his
        serf-born ancestors is welcomed, not only by the poor serfs
        themselves, as a gleam of light and hope shed upon the monotonous
        squalor of their existence, but also by the Aristocracy at large; for
        all the higher classes are well aware that these rare phenomena, while
        they do little or nothing to vulgarize their own privileges, serve as
        almost useful barrier against revolution from below.
        </p>

        <p>Had the acute-angled rabble been all, without exception,
        absolutely destitute of hope and of ambition, they might have found
        leaders in some of their many seditious outbreaks, so able as to
        render their superior numbers and strength too much even for the
        wisdom of the Circles.  But a wise ordinance of Nature has decreed
        that, in proportion as the working-classes increase in intelligence,
        knowledge, and all virtue, in that same proportion their acute angle
        (which makes them physically terrible) shall increase also and
        approximate to their comparatively harmless angle of the Equilateral
        Triangle.  Thus, in the most brutal and formidable off the soldier
        class--creatures almost on a level with women in their lack of
        intelligence--it is found that, as they wax in the mental ability
        necessary to employ their tremendous penetrating power to advantage,
        so do they wane in the power of penetration itself.
        </p>

        <p>How admirable is the Law of Compensation!  And how perfect a proof
        of the natural fitness and, I may almost say, the divine origin of the
        aristocratic constitution of the States of Flatland!  By a juidicious
        use of this Law of Nature, the Polygons and Circles are almost always
        able to stifle sedition in its very cradle, taking advantage of the
        irrepressible and boundless hopefulness of the human mind.  Art also
        comes to the aid of Law and Order.  It is generally found
        possible--by a little artificial compression or
        expansion on the part of the
        State physicians--to make some of the more intelligent leaders of a
        rebellion perfectly Regular, and to admit them at once into the
        privileged classes; a much larger number, who are still below the
        standard, allured by the prospect of being ultimately ennobled, are
        induced to enter the State Hospitals, where they are kept in
        honourable confinement for life; one or two alone of the most
        obstinate, foolish, and hopelessly irregular are led to execution.
        </p>

        <p>Then the wretched rabble of the Isosceles, planless and
        leaderless, are ether transfixed without resistance by the small body
        of their brethren whom the Chief Circle keeps in pay for emergencies
        of this kind; or else more often, by means of jealousies and
        suspicious skillfully fomented among them by the Circular party, they
        are stirred to mutual warfare, and perish by one another's angles.  No
        less than one hundred and twenty rebellions are recorded in our
        annals, besides minor outbreaks numbered at two hundred and
        thirty-five; and they have all ended thus.
        </p>


        <p>&quot;What need of a certificate?&quot; a Spaceland critic may ask:
        &quot;Is not the procreation of a Square Son a certificate from Nature
        herself, proving the Equal-sidedness of the Father?&quot;  I reply that no
        Lady of any position will marry an uncertified Triangle.  Square
        offspring has sometimes resulted from a slightly Irregular Triangle;
        but in almost every such case the Irregularity of the first generation
        is visited on the third; which either fails to attain the Pentagonal
        rank, or relapses to the Triangular.
        </p>
        <p><font size=+2>T</font>HE GREATEST length or breadth of a full grown inhabitant of
        Flatland may be estimated at about eleven of your inches.  Twelve
        inches may be regarded as a maximum.
        </p>

        <p>Our Women are Straight Lines.
        </p>

        <p>Our Soldiers and Lowest Class of Workmen are Triangles with two
        equal sides, each about eleven inches long, and a base or third side
        so short (often not exceeding half an inch) that they form at their
        vertices a very sharp and formidable angle.  Indeed when their bases
        are of the most degraded type (not more than the eighth part of an
        inch in size), they can hardly be distinguished from Straight lines or
        Women; so extremely pointed are their vertices.  With us, as with you,
        these Triangles are distinguished from others by being called
        Isosceles; and by this name I shall refer to them in the following
        pages.
        </p>

        <p>Our Middle Class consists of Equilateral or Equal-Sided Triangles.
        </p>

        <p>Our Professional Men and Gentlemen are Squares (to which class I
        myself belong) and Five-Sided Figures or Pentagons.
        </p>

        <p>Next above these come the Nobility, of whom there are several
        degrees, beginning at Six-Sided Figures, or Hexagons, and from thence
        rising in the number of their sides till they receive the honourable
        title of Polygonal, or many-Sided.  Finally when the number of the
        sides becomes so numerous, and the sides themselve so small, that the
        figure cannot be distinguished from a circle, he is included in the
        Circular or Priestly order; and this is the highest class of all.
        </p>

        <p>It is a Law of Nature with us that a male child shall have one
        more side than his father, so that each generation shall rise (as a
        rule) one step in the scale of development and nobility.  <blockquote>Thus the son
        of a Square is a Pentagon; the son of a Pentagon, a Hexagon; and so
        on.</blockquote>
        </p>

        <p>But this rule applies not always to the Tradesman, and still less
        often to the Soldiers, and to the Workmen; who indeed can hardly be
        said to deserve the name of human Figures, since they have not all
        their sides equal.  With them therefore the Law of Nature does not
        hold; and the son of an Isosceles (i.e. a Triangle with two sides
        equal) remains Isosceles still.  Nevertheless, all hope is not such
        out, even from the Isosceles, that his posterity may ultimately rise
        above his degraded condition.  For, after a long series of military
        successes, or diligent and skillful labours, it is generally found
        that the more intelligent among the Artisan and Soldier classes
        manifest a slight increase of their third side or base, and a
        shrinkage of the two other sides.  Intermarriages (arranged by the
        Priests) between the sons and daughters of these more intellectual
        members of the lower classes generally result in an offspring
        approximating still more to the type of the Equal-Sided Triangle.
        </p>

        <p>Rarely--in proportion to the vast numbers of Isosceles
        births--is a genuine and certifiable
        Equal-Sided Triangle produced from
        Isosceles parents. Such a birth requires, as its
        antecedents, not only a series of carefully arranged intermarriages,
        but also a long-continued exercise of frugality and self-control on
        the part of the would-be ancestors of the coming Equilateral, and a
        patient, systematic, and continuous development of the Isosceles
        intellect through many generations.
        </p>

        <p>The birth
         of a True Equilateral Triangle from Isosceles parents is
        the subject of rejoicing in our country for many furlongs round.
        After a strict examination conducted by the Sanitary and Social Board,
        the infant, if certified as Regular, is with solemn ceremonial
        admitted into the class of Equilaterals.  He is then immediately taken
        from his proud yet sorrowing parents and adopted by some childless
        Equilateral, who is bound by oath never to permit the child henceforth
        to enter his former home or so much as to look upon his relations
        again, for fear lest the freshly developed organism may, by force of
        unconscious imitation, fall back again into his hereditary level.
        </p>

        <p>The occasional emergence of an Equilateral from the ranks of his
        serf-born ancestors is welcomed, not only by the poor serfs
        themselves, as a gleam of light and hope shed upon the monotonous
        squalor of their existence, but also by the Aristocracy at large; for
        all the higher classes are well aware that these rare phenomena, while
        they do little or nothing to vulgarize their own privileges, serve as
        almost useful barrier against revolution from below.
        </p>

        <p>Had the acute-angled rabble been all, without exception,
        absolutely destitute of hope and of ambition, they might have found
        leaders in some of their many seditious outbreaks, so able as to
        render their superior numbers and strength too much even for the
        wisdom of the Circles.  But a wise ordinance of Nature has decreed
        that, in proportion as the working-classes increase in intelligence,
        knowledge, and all virtue, in that same proportion their acute angle
        (which makes them physically terrible) shall increase also and
        approximate to their comparatively harmless angle of the Equilateral
        Triangle.  Thus, in the most brutal and formidable off the soldier
        class--creatures almost on a level with women in their lack of
        intelligence--it is found that, as they wax in the mental ability
        necessary to employ their tremendous penetrating power to advantage,
        so do they wane in the power of penetration itself.
        </p>

        <p>How admirable is the Law of Compensation!  And how perfect a proof
        of the natural fitness and, I may almost say, the divine origin of the
        aristocratic constitution of the States of Flatland!  By a juidicious
        use of this Law of Nature, the Polygons and Circles are almost always
        able to stifle sedition in its very cradle, taking advantage of the
        irrepressible and boundless hopefulness of the human mind.  Art also
        comes to the aid of Law and Order.  It is generally found
        possible--by a little artificial compression or
        expansion on the part of the
        State physicians--to make some of the more intelligent leaders of a
        rebellion perfectly Regular, and to admit them at once into the
        privileged classes; a much larger number, who are still below the
        standard, allured by the prospect of being ultimately ennobled, are
        induced to enter the State Hospitals, where they are kept in
        honourable confinement for life; one or two alone of the most
        obstinate, foolish, and hopelessly irregular are led to execution.
        </p>

        <p>Then the wretched rabble of the Isosceles, planless and
        leaderless, are ether transfixed without resistance by the small body
        of their brethren whom the Chief Circle keeps in pay for emergencies
        of this kind; or else more often, by means of jealousies and
        suspicious skillfully fomented among them by the Circular party, they
        are stirred to mutual warfare, and perish by one another's angles.  No
        less than one hundred and twenty rebellions are recorded in our
        annals, besides minor outbreaks numbered at two hundred and
        thirty-five; and they have all ended thus.
        </p>


        <p>&quot;What need of a certificate?&quot; a Spaceland critic may ask:
        &quot;Is not the procreation of a Square Son a certificate from Nature
        herself, proving the Equal-sidedness of the Father?&quot;  I reply that no
        Lady of any position will marry an uncertified Triangle.  Square
        offspring has sometimes resulted from a slightly Irregular Triangle;
        but in almost every such case the Irregularity of the first generation
        is visited on the third; which either fails to attain the Pentagonal
        rank, or relapses to the Triangular.
        </p>

        <p><font size=+2>T</font>HE GREATEST length or breadth of a full grown inhabitant of
        Flatland may be estimated at about eleven of your inches.  Twelve
        inches may be regarded as a maximum.
        </p>

        <p>Our Women are Straight Lines.
        </p>

        <p>Our Soldiers and Lowest Class of Workmen are Triangles with two
        equal sides, each about eleven inches long, and a base or third side
        so short (often not exceeding half an inch) that they form at their
        vertices a very sharp and formidable angle.  Indeed when their bases
        are of the most degraded type (not more than the eighth part of an
        inch in size), they can hardly be distinguished from Straight lines or
        Women; so extremely pointed are their vertices.  With us, as with you,
        these Triangles are distinguished from others by being called
        Isosceles; and by this name I shall refer to them in the following
        pages.
        </p>

        <p>Our Middle Class consists of Equilateral or Equal-Sided Triangles.
        </p>

        <p>Our Professional Men and Gentlemen are Squares (to which class I
        myself belong) and Five-Sided Figures or Pentagons.
        </p>

        <p>Next above these come the Nobility, of whom there are several
        degrees, beginning at Six-Sided Figures, or Hexagons, and from thence
        rising in the number of their sides till they receive the honourable
        title of Polygonal, or many-Sided.  Finally when the number of the
        sides becomes so numerous, and the sides themselve so small, that the
        figure cannot be distinguished from a circle, he is included in the
        Circular or Priestly order; and this is the highest class of all.
        </p>

        <p>It is a Law of Nature with us that a male child shall have one
        more side than his father, so that each generation shall rise (as a
        rule) one step in the scale of development and nobility.  <blockquote>Thus the son
        of a Square is a Pentagon; the son of a Pentagon, a Hexagon; and so
        on.</blockquote>
        </p>

        <p>But this rule applies not always to the Tradesman, and still less
        often to the Soldiers, and to the Workmen; who indeed can hardly be
        said to deserve the name of human Figures, since they have not all
        their sides equal.  With them therefore the Law of Nature does not
        hold; and the son of an Isosceles (i.e. a Triangle with two sides
        equal) remains Isosceles still.  Nevertheless, all hope is not such
        out, even from the Isosceles, that his posterity may ultimately rise
        above his degraded condition.  For, after a long series of military
        successes, or diligent and skillful labours, it is generally found
        that the more intelligent among the Artisan and Soldier classes
        manifest a slight increase of their third side or base, and a
        shrinkage of the two other sides.  Intermarriages (arranged by the
        Priests) between the sons and daughters of these more intellectual
        members of the lower classes generally result in an offspring
        approximating still more to the type of the Equal-Sided Triangle.
        </p>

        <p>Rarely--in proportion to the vast numbers of Isosceles
        births--is a genuine and certifiable
        Equal-Sided Triangle produced from
        Isosceles parents. Such a birth requires, as its
        antecedents, not only a series of carefully arranged intermarriages,
        but also a long-continued exercise of frugality and self-control on
        the part of the would-be ancestors of the coming Equilateral, and a
        patient, systematic, and continuous development of the Isosceles
        intellect through many generations.
        </p>

        <p>The birth
         of a True Equilateral Triangle from Isosceles parents is
        the subject of rejoicing in our country for many furlongs round.
        After a strict examination conducted by the Sanitary and Social Board,
        the infant, if certified as Regular, is with solemn ceremonial
        admitted into the class of Equilaterals.  He is then immediately taken
        from his proud yet sorrowing parents and adopted by some childless
        Equilateral, who is bound by oath never to permit the child henceforth
        to enter his former home or so much as to look upon his relations
        again, for fear lest the freshly developed organism may, by force of
        unconscious imitation, fall back again into his hereditary level.
        </p>

        <p>The occasional emergence of an Equilateral from the ranks of his
        serf-born ancestors is welcomed, not only by the poor serfs
        themselves, as a gleam of light and hope shed upon the monotonous
        squalor of their existence, but also by the Aristocracy at large; for
        all the higher classes are well aware that these rare phenomena, while
        they do little or nothing to vulgarize their own privileges, serve as
        almost useful barrier against revolution from below.
        </p>

        <p>Had the acute-angled rabble been all, without exception,
        absolutely destitute of hope and of ambition, they might have found
        leaders in some of their many seditious outbreaks, so able as to
        render their superior numbers and strength too much even for the
        wisdom of the Circles.  But a wise ordinance of Nature has decreed
        that, in proportion as the working-classes increase in intelligence,
        knowledge, and all virtue, in that same proportion their acute angle
        (which makes them physically terrible) shall increase also and
        approximate to their comparatively harmless angle of the Equilateral
        Triangle.  Thus, in the most brutal and formidable off the soldier
        class--creatures almost on a level with women in their lack of
        intelligence--it is found that, as they wax in the mental ability
        necessary to employ their tremendous penetrating power to advantage,
        so do they wane in the power of penetration itself.
        </p>

        <p>How admirable is the Law of Compensation!  And how perfect a proof
        of the natural fitness and, I may almost say, the divine origin of the
        aristocratic constitution of the States of Flatland!  By a juidicious
        use of this Law of Nature, the Polygons and Circles are almost always
        able to stifle sedition in its very cradle, taking advantage of the
        irrepressible and boundless hopefulness of the human mind.  Art also
        comes to the aid of Law and Order.  It is generally found
        possible--by a little artificial compression or
        expansion on the part of the
        State physicians--to make some of the more intelligent leaders of a
        rebellion perfectly Regular, and to admit them at once into the
        privileged classes; a much larger number, who are still below the
        standard, allured by the prospect of being ultimately ennobled, are
        induced to enter the State Hospitals, where they are kept in
        honourable confinement for life; one or two alone of the most
        obstinate, foolish, and hopelessly irregular are led to execution.
        </p>

        <p>Then the wretched rabble of the Isosceles, planless and
        leaderless, are ether transfixed without resistance by the small body
        of their brethren whom the Chief Circle keeps in pay for emergencies
        of this kind; or else more often, by means of jealousies and
        suspicious skillfully fomented among them by the Circular party, they
        are stirred to mutual warfare, and perish by one another's angles.  No
        less than one hundred and twenty rebellions are recorded in our
        annals, besides minor outbreaks numbered at two hundred and
        thirty-five; and they have all ended thus.
        </p>


        <p>&quot;What need of a certificate?&quot; a Spaceland critic may ask:
        &quot;Is not the procreation of a Square Son a certificate from Nature
        herself, proving the Equal-sidedness of the Father?&quot;  I reply that no
        Lady of any position will marry an uncertified Triangle.  Square
        offspring has sometimes resulted from a slightly Irregular Triangle;
        but in almost every such case the Irregularity of the first generation
        is visited on the third; which either fails to attain the Pentagonal
        rank, or relapses to the Triangular.
        </p>
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