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are of the most degraded type ��not more than the eighth part of an inch in size���察�they can hardly be distinguished from Straight Lines or Women�察�so extremely pointed are their vertices。 With us�察�as with you�察�these Triangles are distinguished from others by being called Isosceles�察�and by this name I shall refer to them in the following pages。

Our Middle Class consists of Equilateral or Equal´Sided Triangles。

Our Professional Men and Gentlemen are Squares ��to which class I myself belong�� and Five´Sided Figures or Pentagons。

Next above these come the Nobility�察�of whom there are several degrees�察�beginning at Six´Sided Figures�察�or Hexagons�察�and from thence rising in the number of their sides till they receive the honourable title of Polygonal�察�or many´sided。  Finally when the number of the sides becomes so numerous�察�and the sides themselves so small�察�that the figure cannot be distinguished from a circle�察�he is included in the Circular or Priestly order�察�and this is the highest class of all。

It is a Law of Nature with us that a male child shall have one more side than his father�察�so that each generation shall rise ��as a rule�� one step in the scale of development and nobility。 Thus the son of a Square is a Pentagon�察�the son of a Pentagon�察�a Hexagon�察�and so on。

But this rule applies not always to the Tradesmen�察�and still less often to the Soldiers�察�and to the Workmen�察�who indeed can hardly be said to deserve the name of human Figures�察�since they have not all their sides equal。  With them therefore the Law of Nature does not hold�察�and the son of an Isosceles ��i。e。 a Triangle with two sides equal�� remains Isosceles still。  Nevertheless�察�all hope is not shut out�察�even from the Isosceles�察�that his posterity may ultimately rise above his degraded condition。  For�察�after a long series of military successes�察�or diligent and skilful labours�察�it is generally found that the more intelligent among the Artisan and Soldier classes manifest a slight increase of their third side or base�察�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。

Rarely  in proportion to the vast numbers of Isosceles births  is a genuine and certifiable Equal´Sided Triangle produced from Isosceles parents。  ��Note�此  �What need of a certificate�拭─�a Spaceland critic may ask�此  �Is not the procreation of a Square Son a certificate from Nature herself�察�proving the Equal´sidedness of the Father�拭─ �I reply that no Lady of any position will marry an uncertified Triangle。  Square offspring has sometimes resulted from a slightly Irregular Triangle�察�but in almost every such case the Irregularity of the first generation is visited on the third�察�which either fails to attain the Pentagonal rank�察�or relapses to the Triangular。�А �Such a birth requires�察�as its antecedents�察�not only a series of carefully arranged intermarriages�察�but also a long�察�continued exercise of frugality and self´control on the part of the would´be ancestors of the coming Equilateral�察�and a patient�察�systematic�察�and continuous development of the Isosceles intellect through many generations。

The birth of a True Equilateral Triangle from Isosceles parents is the subject of rejoicing in our country for many furlongs around。 After a strict examination conducted by the Sanitary and Social Board�察�the infant�察�if certified as Regular�察�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�察�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�察�for fear lest the freshly developed organism may�察�by force of unconscious imitation�察�fall back again into his hereditary level。

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

Had the acute´angled rabble been all�察�without exception�察�absolutely destitute of hope and of ambition�察�they might have found leaders in some of their many seditious outbreaks�察�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�察�in proportion as the working´classes increase in intelligence�察�knowledge�察�and all virtue�察�in that same proportion their acute angle ��which makes them physically terrible�� shall increase also and approximate to the comparatively harmless angle of the Equilateral Triangle。  Thus�察�in the most brutal and formidable of the soldier class  creatures almost on a level with women in their lack of intelligence  it is found that�察�as they wax in the mental ability necessary to employ their tremendous penetrating power to advantage�察�so do they wane in the power of penetration itself。

How admirable is this Law of Compensation�  �And how perfect a proof of the natural fitness and�察�I may almost say�察�the divine origin of the aristocratic constitution of the States in Flatland� �By a judicious use of this Law of Nature�察�the Polygons and Circles are almost always able to stifle sedition in its very cradle�察�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�察�and to admit them at once into the privileged classes�察�a much larger number�察�who are still below the standard�察�allured by the prospect of being ultimately ennobled�察�are induced to enter the State Hospitals�察�where they are kept in honourable confinement for life�察�one or two alone of the more obstinate�察�foolish�察�and hopelessly irregular are led to execution。

Then the wretched rabble of the Isosceles�察�planless and leaderless�察�are either transfixed without resistance by the small body of their brethren whom the Chief Circle keeps in pay for emergencies of this kind�察�or else more often�察�by means of jealousies and suspicions skilfully fomented among them by the Circular party�察�they are stirred to mutual warfare�察�and perish by one another's angles。  No less than one hundred and twenty rebellions are recorded in our annals�察�besides minor outbreaks numbered at two hundred and thirty´five�察�and they have all ended thus。




Section 4。  Concerning the Women



If our highly pointed Triangles of the Soldier class are formidable�察�it may be readily inferred that far more formidable are our Women。 For if a Soldier is a wedge�察�a Woman is a needle�察�being�察�so to speak�察�ALL point�察�at least at the two extremities。  Add to this the power of making herself practically invisible at will�察�and you will perceive that a Female�察�in Flatland�察�is a creature by no means to be trifled with。

But here�察�perhaps�察�some of my younger Readers may ask HOW a woman in Flatland can make herself invisible。  This ought�察�I think�察�to be apparent without any explanation。  However�察�a few words will make it clear to the most unreflecting。

Place a needle on a table。  Then�察�with your eye on the level of the table�察�look at it side´ways�察�and you see the whole length of it�察�but look at it end´ways�察�and you see nothing but a point�察�it has become practically invisible。  Just so is it with one of our Women。  When her side is turned towards us�察�we see her as a straight line�察�when the end containing her eye or mouth  for with us these two organs are identical  is the part that meets our eye�察�then we see nothing but a highly lustrous point�察�but when the back is presented to our view�察�then  being only sub´lustrous�察�and�察�indeed�察�almost as dim as an inanimate object  her hinder extremity serves her as a kind of Invisible Cap。

The dangers to which we are exposed from our Women must now be manifest to the meanest capacity in Spaceland。  If even the angle of a respectable Triangle in the middle class is not without its dangers�察�if to run against a Working Man involves a gash�察�if collision with an officer of the military class necessitates a serious wound�察�if a mere touch from the vertex of a Private Soldier brings with it danger of death�察 �what can it be to run against a Woman�察�except absolute and immediate destruction�拭 �And when a Woman is invisible�察�or visible only as a dim sub´lustrous point�察�how difficult must it be�察�even for the most cautious�察�always to avoid collision��

Many are the enactments made at different times in the different States of Flatland�察�in order to minimize this peril�察�and in the Southern and less temperate climates where the force of gravitation is greater�察�and human beings more liable to casual and involuntary motions�察�the Laws concerning Women are naturally much more stringent。  But a general view of the Code may be obtained from the following summary�此�


1。  Every house shall have one entrance in the Eastern side�察�for the use of Females only�察�by which all females shall enter ;in a becoming and respectful manner; and not by the Men's or Western door。  ��Note�此 �When I was in Spaceland I understood that some of your Priestly circles have in the same way a separate entrance for Villagers�察�Farmers and Teachers of Board Schools �─�Spectator'�察�Sept。 1884�察�p。 1255�� that they may ;approach in a becoming and respectful manner。;��

2。  No Female shall walk in any public place without continually keeping up her Peace´cry�察�under penalty of death。

3。  Any Female�察�duly certified to be suffering from St。 Vitus's Dance�察�fits�察�chronic cold accompanied by violent sneezing�察�or any disease necessitating involuntary motions�察�shall be instantly destroyed。


In some of the States there is an additional Law forbidding Females�察�under penalty of death�察�from walking or standing in any public place without moving their
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