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husband； while pursuing her household avocations there are at least intervals of quiet； when the wife is neither seen nor heard； except for the humming sound of the continuous Peace…cry； but in the homes of the upper classes there is too often no peace。 There the voluble mouth and bright penetrating eye are ever directed towards the Master of the household； and light itself is not more persistent than the stream of feminine discourse。 The tact and skill which suffice to avert a Woman's sting are unequal to the task of stopping a Woman's mouth； and as the wife has absolutely nothing to say； and absolutely no constraint of wit； sense； or conscience to prevent her from saying it； not a few cynics have been found to aver that they prefer the danger of the death…dealing but inaudible sting to the safe sonorousness of a Woman's other end。
To my readers in Spaceland the condition of our Women may seem truly deplorable； and so indeed it is。 A Male of the lowest type of the Isosceles may look forward to some improvement of his angle； and to the ultimate elevation of the whole of his degraded caste； but no Woman can entertain such hopes for her sex。 〃Once a Woman； always a Woman〃 is a Decree of Nature； and the very Laws of Evolution seem suspended in her disfavour。 Yet at least we can admire the wise Prearrangement which has ordained that； as they have no hopes； so they shall have no memory to recall； and no forethought to anticipate； the miseries and humiliations which are at once a necessity of their existence and the basis of the constitution of Flatland。
Section 5。 Of our Methods of Recognizing one another
You； who are blessed with shade as well as light； you； who are gifted with two eyes； endowed with a knowledge of perspective； and charmed with the enjoyment of various colours； you； who can actually SEE an angle； and contemplate the complete circumference of a circle in the happy region of the Three Dimensions how shall I make clear to you the extreme difficulty which we in Flatland experience in recognizing one another's configuration？
Recall what I told you above。 All beings in Flatland； animate or inanimate； no matter what their form； present TO OUR VIEW the same； or nearly the same； appearance； viz。 that of a straight Line。 How then can one be distinguished from another； where all appear the same？
The answer is threefold。 The first means of recognition is the sense of hearing； which with us is far more highly developed than with you； and which enables us not only to distinguish by the voice our personal friends； but even to discriminate between different classes； at least so far as concerns the three lowest orders； the Equilateral； the Square； and the Pentagon for of the Isosceles I take no account。 But as we ascend in the social scale； the process of discriminating and being discriminated by hearing increases in difficulty； partly because voices are assimilated； partly because the faculty of voice…discrimination is a plebeian virtue not much developed among the Aristocracy。 And wherever there is any danger of imposture we cannot trust to this method。 Amongst our lowest orders； the vocal organs are developed to a degree more than correspondent with those of hearing； so that an Isosceles can easily feign the voice of a Polygon； and； with some training； that of a Circle himself。 A second method is therefore more commonly resorted to。
FEELING is； among our Women and lower classes about our upper classes I shall speak presently the principal test of recognition； at all events between strangers； and when the question is； not as to the individual； but as to the class。 What therefore 〃introduction〃 is among the higher classes in Spaceland； that the process of 〃feeling〃 is with us。 〃Permit me to ask you to feel and be felt by my friend Mr。 So…and…so〃 is still； among the more old…fashioned of our country gentlemen in districts remote from towns； the customary formula for a Flatland introduction。 But in the towns； and among men of business； the words 〃be felt by〃 are omitted and the sentence is abbreviated to； 〃Let me ask you to feel Mr。 So…and…so〃； although it is assumed； of course； that the 〃feeling〃 is to be reciprocal。 Among our still more modern and dashing young gentlemen who are extremely averse to superfluous effort and supremely indifferent to the purity of their native language the formula is still further curtailed by the use of 〃to feel〃 in a technical sense； meaning； 〃to recommend…for…the…purposes…of…feeling…and…being…felt〃； and at this moment the 〃slang〃 of polite or fast society in the upper classes sanctions such a barbarism as 〃Mr。 Smith； permit me to feel Mr。 Jones。〃
Let not my Reader however suppose that 〃feeling〃 is with us the tedious process that it would be with you； or that we find it necessary to feel right round all the sides of every individual before we determine the class to which he belongs。 Long practice and training； begun in the schools and continued in the experience of daily life； enable us to discriminate at once by the sense of touch； between the angles of an equal…sided Triangle； Square； and Pentagon； and I need not say that the brainless vertex of an acute…angled Isosceles is obvious to the dullest touch。 It is therefore not necessary； as a rule； to do more than feel a single angle of an individual； and this； once ascertained； tells us the class of the person whom we are addressing； unless indeed he belongs to the higher sections of the nobility。 There the difficulty is much greater。 Even a Master of Arts in our University of Wentbridge has been known to confuse a ten…sided with a twelve…sided Polygon； and there is hardly a Doctor of Science in or out of that famous University who could pretend to decide promptly and unhesitatingly between a twenty…sided and a twenty…four sided member of the Aristocracy。
Those of my readers who recall the extracts I gave above from the Legislative code concerning Women； will readily perceive that the process of introduction by contact requires some care and discretion。 Otherwise the angles might inflict on the unwary Feeler irreparable injury。 It is essential for the safety of the Feeler that the Felt should stand perfectly still。 A start； a fidgety shifting of the position； yes； even a violent sneeze； has been known before now to prove fatal to the incautious； and to nip in the bud many a promising friendship。 Especially is this true among the lower classes of the Triangles。 With them； the eye is situated so far from their vertex that they can scarcely take cognizance of what goes on at that extremity of their frame。 They are； moreover； of a rough coarse nature； not sensitive to the delicate touch of the highly organized Polygon。 What wonder then if an involuntary toss of the head has ere now deprived the State of a valuable life！
I have heard that my excellent Grandfather one of the least irregular of his unhappy Isosceles class； who indeed obtained； shortly before his decease； four out of seven votes from the Sanitary and Social Board for passing him into the class of the Equal…sided often deplored； with a tear in his venerable eye； a miscarriage of this kind； which had occured to his great…great…great…Grandfather； a respectable Working Man with an angle or brain of 59 degrees 30 minutes。 According to his account； my unfortunate Ancestor； being afflicted with rheumatism； and in the act of being felt by a Polygon； by one sudden start accidentally transfixed the Great Man through the diagonal； and thereby； partly in consequence of his long imprisonment and degradation； and partly because of the moral shock which pervaded the whole of my Ancestor's relations； threw back our family a degree and a half in their ascent towards better things。 The result was that in the next generation the family brain was registered at only 58 degrees； and not till the lapse of five generations was the lost ground recovered； the full 60 degrees attained； and the Ascent from the Isosceles finally achieved。 And all this series of calamities from one little accident in the process of Feeling。
At this point I think I hear some of my better educated readers exclaim； 〃How could you in Flatland know anything about angles and degrees； or minutes？ We can SEE an angle； because we； in the region of Space； can see two straight lines inclined to one another； but you； who can see nothing but one straight line at a time； or at all events only a number of bits of straight lines all in one straight line how can you ever discern any angle； and much less register angles of different sizes？〃
I answer that though we cannot SEE angles； we can INFER them； and this with great precision。 Our sense of touch； stimulated by necessity； and developed by long training； enables us to distinguish angles far more accurately than your sense of sight； when unaided by a rule or measure of angles。 Nor must I omit to explain that we have great natural helps。 It is with us a Law of Nature that the brain of the Isosceles class shall begin at half a degree； or thirty minutes； and shall increase （if it increases at all） by half a degree in every generation； until the goal of 60 degrees is reached； when the condition of serfdom is quitted； and the freeman enters th