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Chapter 7 Concerning Irregular Figures
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Throughout the previous pages I have been assuming — what perhaps should have been laid down at the beginning as a distinct and fundamental proposition — that every human being in Flatland is a Regular Figure, that is to say of regular construction. By this I mean that a Woman must not only be a line, but a straight line; that an Artisan or Soldier must have two of his sides equal; that Tradesmen must have three sides equal; Lawyers (of which class I am a humble1 member), four sides equal, and generally, that in every Polygon2, all the sides must be equal.
The size of the sides would of course depend upon the age of the individual. A Female at birth would be about an inch long, while a tall adult Woman might extend to a foot. As to the Males of every class, it may be roughly said that the length of an adult’s sides, when added together, is two feet or a little more. But the size of our sides is not under consideration. I am speaking of the EQUALITY of sides, and it does not need much reflection to see that the whole of the social life in Flatland rests upon the fundamental fact that Nature wills all Figures to have their sides equal.
If our sides were unequal our angles might be unequal. Instead of its being sufficient to feel, or estimate by sight, a single angle in order to determine the form of an individual, it would be necessary to ascertain3 each angle by the experiment of Feeling. But life would be too short for such a tedious grouping. The whole science and art of Sight Recognition would at once perish; Feeling, so far as it is an art, would not long survive; intercourse4 would become perilous5 or impossible; there would be an end to all confidence, all forethought; no one would be safe in making the most simple social arrangements; in a word, civilization would relapse into barbarism.
Am I going too fast to carry my Readers with me to these obvious conclusions? Surely a moment’s reflection, and a single instance from common life, must convince every one that our whole social system is based upon Regularity6, or Equality of Angles. You meet, for example, two or three Tradesmen in the street, whom you recognize at once to be Tradesmen by a glance at their angles and rapidly bedimmed sides, and you ask them to step into your house to lunch. This you do at present with perfect confidence, because everyone knows to an inch or two the area occupied by an adult Triangle: but imagine that your Tradesman drags behind his regular and respectable vertex, a parallelogram of twelve or thirteen inches in diagonal:— what are you to do with such a monster sticking fast in your house door?
But I am insulting the intelligence of my Readers by accumulating details which must be patent to everyone who enjoys the advantages of a Residence in Spaceland. Obviously the measurements of a single angle would no longer be sufficient under such portentous7 circumstances; one’s whole life would be taken up in feeling or surveying the perimeter8 of one’s acquaintances. Already the difficulties of avoiding a collision in a crowd are enough to tax the sagacity of even a well-educated Square; but if no one could calculate the Regularity of a single figure in the company, all would be chaos9 and confusion, and the slightest panic would cause serious injuries, or — if there happened to be any Women or Soldiers present — perhaps considerable loss of life.
Expediency10 therefore concurs11 with Nature in stamping the seal of its approval upon Regularity of conformation: nor has the Law been backward in seconding their efforts. “Irregularity of Figure” means with us the same as, or more than, a combination of moral obliquity12 and criminality with you, and is treated accordingly. There are not wanting, it is true, some promulgators of paradoxes13 who maintain that there is no necessary connection between geometrical and moral Irregularity. “The Irregular”, they say, “is from his birth scouted14 by his own parents, derided15 by his brothers and sisters, neglected by the domestics, scorned and suspected by society, and excluded from all posts of responsibility, trust, and useful activity. His every movement is jealously watched by the police till he comes of age and presents himself for inspection16; then he is either destroyed, if he is found to exceed the fixed17 margin18 of deviation19, or else immured20 in a Government Office as a clerk of the seventh class; prevented from marriage; forced to drudge21 at an uninteresting occupation for a miserable22 stipend23; obliged to live and board at the office, and to take even his vacation under close supervision24; what wonder that human nature, even in the best and purest, is embittered25 and perverted26 by such surroundings!”
All this very plausible27 reasoning does not convince me, as it has not convinced the wisest of our Statesmen, that our ancestors erred28 in laying it down as an axiom of policy that the toleration of Irregularity is incompatible29 with the safety of the State. Doubtless, the life of an Irregular is hard; but the interests of the Greater Number require that it shall be hard. If a man with a triangular30 front and a polygonal31 back were allowed to exist and to propagate a still more Irregular posterity32, what would become of the arts of life? Are the houses and doors and churches in Flatland to be altered in order to accommodate such monsters? Are our ticket-collectors to be required to measure every man’s perimeter before they allow him to enter a theatre or to take his place in a lecture room? Is an Irregular to be exempted33 from the militia34? And if not, how is he to be prevented from carrying desolation into the ranks of his comrades? Again, what irresistible35 temptations to fraudulent impostures must needs beset36 such a creature! How easy for him to enter a shop with his polygonal front foremost, and to order goods to any extent from a confiding37 tradesman! Let the advocates of a falsely called Philanthropy plead as they may for the abrogation38 of the Irregular Penal39 Laws, I for my part have never known an Irregular who was not also what Nature evidently intended him to be — a hypocrite, a misanthropist, and, up to the limits of his power, a perpetrator of all manner of mischief40.
Not that I should be disposed to recommend (at present) the extreme measures adopted by some States, where an infant whose angle deviates41 by half a degree from the correct angularity is summarily destroyed at birth. Some of our highest and ablest men, men of real genius, have during their earliest days laboured under deviations42 as great as, or even greater than, forty-five minutes: and the loss of their precious lives would have been an irreparable injury to the State. The art of healing also has achieved some of its most glorious triumphs in the compressions, extensions, trepannings, colligations, and other surgical43 or diaetetic operations by which Irregularity has been partly or wholly cured. Advocating therefore a VIA MEDIA, I would lay down no fixed or absolute line of demarcation; but at the period when the frame is just beginning to set, and when the Medical Board has reported that recovery is improbable, I would suggest that the Irregular offspring be painlessly and mercifully consumed.


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1 humble ddjzU     
adj.谦卑的,恭顺的;地位低下的;v.降低,贬低
参考例句:
  • In my humble opinion,he will win the election.依我拙见,他将在选举中获胜。
  • Defeat and failure make people humble.挫折与失败会使人谦卑。
2 polygon 0iFy9     
n.多边形;多角形
参考例句:
  • A polygon with ten sides is a decagon.十条边的形状叫十边形。
  • He conceived the first proof that the 17-sided polygon is constructible.他构思了17边形可以作图的第一个证明。
3 ascertain WNVyN     
vt.发现,确定,查明,弄清
参考例句:
  • It's difficult to ascertain the coal deposits.煤储量很难探明。
  • We must ascertain the responsibility in light of different situtations.我们必须根据不同情况判定责任。
4 intercourse NbMzU     
n.性交;交流,交往,交际
参考例句:
  • The magazine becomes a cultural medium of intercourse between the two peoples.该杂志成为两民族间文化交流的媒介。
  • There was close intercourse between them.他们过往很密。
5 perilous E3xz6     
adj.危险的,冒险的
参考例句:
  • The journey through the jungle was perilous.穿过丛林的旅行充满了危险。
  • We have been carried in safety through a perilous crisis.历经一连串危机,我们如今已安然无恙。
6 regularity sVCxx     
n.规律性,规则性;匀称,整齐
参考例句:
  • The idea is to maintain the regularity of the heartbeat.问题就是要维持心跳的规律性。
  • He exercised with a regularity that amazed us.他锻炼的规律程度令我们非常惊讶。
7 portentous Wiey5     
adj.不祥的,可怕的,装腔作势的
参考例句:
  • The present aspect of society is portentous of great change.现在的社会预示着重大变革的发生。
  • There was nothing portentous or solemn about him.He was bubbling with humour.他一点也不装腔作势或故作严肃,浑身散发着幽默。
8 perimeter vSxzj     
n.周边,周长,周界
参考例句:
  • The river marks the eastern perimeter of our land.这条河标示我们的土地东面的边界。
  • Drinks in hands,they wandered around the perimeter of the ball field.他们手里拿着饮料在球场周围漫不经心地遛跶。
9 chaos 7bZyz     
n.混乱,无秩序
参考例句:
  • After the failure of electricity supply the city was in chaos.停电后,城市一片混乱。
  • The typhoon left chaos behind it.台风后一片混乱。
10 expediency XhLzi     
n.适宜;方便;合算;利己
参考例句:
  • The government is torn between principle and expediency. 政府在原则与权宜之间难于抉择。 来自《简明英汉词典》
  • It was difficult to strike the right balance between justice and expediency. 在公正与私利之间很难两全。 来自辞典例句
11 concurs fbb2442ed8793bdb8942c47540e10367     
同意(concur的第三人称单数形式)
参考例句:
  • Gilardi concurs that the newly compiled data is a powerful tool. 吉拉迪认同新汇集的数据是一个强有力的工具。
  • Curtin concurs that it's been a blessing and a reward. 柯廷也同意这是一种祝福和奖励。
12 obliquity RIVxy     
n.倾斜度
参考例句:
  • It is here that the obliquity factor makes a crucial difference. 正是在这里,倾斜因子构成了重要的差别。 来自辞典例句
  • The obliquity of the ecliptic is the fundamental cause of the seasons. 黄道的倾角是季节的基本成因。 来自辞典例句
13 paradoxes 650bef108036a497745288049ec223cf     
n.似非而是的隽语,看似矛盾而实际却可能正确的说法( paradox的名词复数 );用于语言文学中的上述隽语;有矛盾特点的人[事物,情况]
参考例句:
  • Contradictions and paradoxes arose in increasing numbers. 矛盾和悖论越来越多。 来自辞典例句
  • As far as these paradoxes are concerned, the garden definitely a heterotopia. 就这些吊诡性而言,花园无疑地是个异质空间。 来自互联网
14 scouted c2ccb9e441a3696747e3f1fa2d26d0d7     
寻找,侦察( scout的过去式和过去分词 ); 物色(优秀运动员、演员、音乐家等)
参考例句:
  • They scouted around for a shop that was open late. 他们四处寻找,看看还有没有夜间营业的商店。
  • They scouted around for a beauty parlour. 他们四处寻找美容院。
15 derided 1f15d33e96bce4cf40473b17affb79b6     
v.取笑,嘲笑( deride的过去式和过去分词 )
参考例句:
  • His views were derided as old-fashioned. 他的观点被当作旧思想受到嘲弄。
  • Gazing up to the darkness I saw myself as a creature driven and derided by vanity. 我抬头疑视着黑暗,感到自己是一个被虚荣心驱使和拨弄的可怜虫。 来自辞典例句
16 inspection y6TxG     
n.检查,审查,检阅
参考例句:
  • On random inspection the meat was found to be bad.经抽查,发现肉变质了。
  • The soldiers lined up for their daily inspection by their officers.士兵们列队接受军官的日常检阅。
17 fixed JsKzzj     
adj.固定的,不变的,准备好的;(计算机)固定的
参考例句:
  • Have you two fixed on a date for the wedding yet?你们俩选定婚期了吗?
  • Once the aim is fixed,we should not change it arbitrarily.目标一旦确定,我们就不应该随意改变。
18 margin 67Mzp     
n.页边空白;差额;余地,余裕;边,边缘
参考例句:
  • We allowed a margin of 20 minutes in catching the train.我们有20分钟的余地赶火车。
  • The village is situated at the margin of a forest.村子位于森林的边缘。
19 deviation Ll0zv     
n.背离,偏离;偏差,偏向;离题
参考例句:
  • Deviation from this rule are very rare.很少有违反这条规则的。
  • Any deviation from the party's faith is seen as betrayal.任何对党的信仰的偏离被视作背叛。
20 immured 8727048a152406d66991e43b6eeaa1c8     
v.禁闭,监禁( immure的过去式和过去分词 )
参考例句:
  • She was like a prisoner so long immured that freedom dazes him. 她象一个长年累月被关闭的囚犯,自由使她迷乱茫然。 来自辞典例句
  • He immured himself in a small room to work undisturbed. 他自己关在小屋里埋头工作,以免受到骚扰。 来自辞典例句
21 drudge rk8z2     
n.劳碌的人;v.做苦工,操劳
参考例句:
  • I feel like a real drudge--I've done nothing but clean all day!我觉得自己像个做苦工的--整天都在做清洁工作!
  • I'm a poor,miserable,forlorn drudge;I shall only drag you down with me.我是一个贫穷,倒运,走投无路的苦力,只会拖累你。
22 miserable g18yk     
adj.悲惨的,痛苦的;可怜的,糟糕的
参考例句:
  • It was miserable of you to make fun of him.你取笑他,这是可耻的。
  • Her past life was miserable.她过去的生活很苦。
23 stipend kuPwO     
n.薪贴;奖学金;养老金
参考例句:
  • The company is going to ajust my stipend from this month onwards.从这一个月开始公司将对我的薪金作调整。
  • This sum was nearly a third of his total stipend.这笔钱几乎是他全部津贴的三分之一。
24 supervision hr6wv     
n.监督,管理
参考例句:
  • The work was done under my supervision.这项工作是在我的监督之下完成的。
  • The old man's will was executed under the personal supervision of the lawyer.老人的遗嘱是在律师的亲自监督下执行的。
25 embittered b7cde2d2c1d30e5d74d84b950e34a8a0     
v.使怨恨,激怒( embitter的过去式和过去分词 )
参考例句:
  • These injustices embittered her even more. 不公平使她更加受苦。 来自《简明英汉词典》
  • The artist was embittered by public neglect. 大众的忽视于那位艺术家更加难受。 来自《简明英汉词典》
26 perverted baa3ff388a70c110935f711a8f95f768     
adj.不正当的v.滥用( pervert的过去式和过去分词 );腐蚀;败坏;使堕落
参考例句:
  • Some scientific discoveries have been perverted to create weapons of destruction. 某些科学发明被滥用来生产毁灭性武器。
  • sexual acts, normal and perverted 正常的和变态的性行为
27 plausible hBCyy     
adj.似真实的,似乎有理的,似乎可信的
参考例句:
  • His story sounded plausible.他说的那番话似乎是真实的。
  • Her story sounded perfectly plausible.她的说辞听起来言之有理。
28 erred c8b7e9a0d41d16f19461ffc24ded698d     
犯错误,做错事( err的过去式和过去分词 )
参考例句:
  • He erred in his judgement. 他判断错了。
  • We will work on those who have erred and help them do right. 我们将对犯了错误的人做工作,并帮助他们改正。
29 incompatible y8oxu     
adj.不相容的,不协调的,不相配的
参考例句:
  • His plan is incompatible with my intent.他的计划与我的意图不相符。
  • Speed and safety are not necessarily incompatible.速度和安全未必不相容。
30 triangular 7m1wc     
adj.三角(形)的,三者间的
参考例句:
  • It's more or less triangular plot of land.这块地略成三角形。
  • One particular triangular relationship became the model of Simone's first novel.一段特殊的三角关系成了西蒙娜第一本小说的原型。
31 polygonal kOdxL     
adj.多角形的,多边形的
参考例句:
  • The grains take on simple polygonal. 颗粒呈简单的多角形。 来自辞典例句
  • Use the necessary instrument Polygonal Lasso Tool to outline the mask contour. 使用多边形套索工具将面膜部分选中。 来自互联网
32 posterity D1Lzn     
n.后裔,子孙,后代
参考例句:
  • Few of his works will go down to posterity.他的作品没有几件会流传到后世。
  • The names of those who died are recorded for posterity on a tablet at the back of the church.死者姓名都刻在教堂后面的一块石匾上以便后人铭记。
33 exempted b7063b5d39ab0e555afef044f21944ea     
使免除[豁免]( exempt的过去式和过去分词 )
参考例句:
  • His bad eyesight exempted him from military service. 他因视力不好而免服兵役。
  • Her illness exempted her from the examination. 她因病而免试。
34 militia 375zN     
n.民兵,民兵组织
参考例句:
  • First came the PLA men,then the people's militia.人民解放军走在前面,其次是民兵。
  • There's a building guarded by the local militia at the corner of the street.街道拐角处有一幢由当地民兵团守卫的大楼。
35 irresistible n4CxX     
adj.非常诱人的,无法拒绝的,无法抗拒的
参考例句:
  • The wheel of history rolls forward with an irresistible force.历史车轮滚滚向前,势不可挡。
  • She saw an irresistible skirt in the store window.她看见商店的橱窗里有一条叫人着迷的裙子。
36 beset SWYzq     
v.镶嵌;困扰,包围
参考例句:
  • She wanted to enjoy her retirement without being beset by financial worries.她想享受退休生活而不必为金钱担忧。
  • The plan was beset with difficulties from the beginning.这项计划自开始就困难重重。
37 confiding e67d6a06e1cdfe51bc27946689f784d1     
adj.相信人的,易于相信的v.吐露(秘密,心事等)( confide的现在分词 );(向某人)吐露(隐私、秘密等)
参考例句:
  • The girl is of a confiding nature. 这女孩具有轻信别人的性格。 来自《现代英汉综合大词典》
  • Celia, though confiding her opinion only to Andrew, disagreed. 西莉亚却不这么看,尽管她只向安德鲁吐露过。 来自辞典例句
38 abrogation JIXyI     
n.取消,废除
参考例句:
  • China regrets the abrogation of the Anti-Ballistic Missile Treaty. 中国对《反弹道导弹条约》失效感到遗憾。
  • Measures for the abrogation shall be stipulated by the State Council. 废除的办法由国务院制定。
39 penal OSBzn     
adj.刑罚的;刑法上的
参考例句:
  • I hope you're familiar with penal code.我希望你们熟悉本州法律规则。
  • He underwent nineteen years of penal servitude for theft.他因犯了大窃案受过十九年的苦刑。
40 mischief jDgxH     
n.损害,伤害,危害;恶作剧,捣蛋,胡闹
参考例句:
  • Nobody took notice of the mischief of the matter. 没有人注意到这件事情所带来的危害。
  • He seems to intend mischief.看来他想捣蛋。
41 deviates 095f40a93b73fe7ea87eddba8bee1aec     
v.偏离,越轨( deviate的第三人称单数 )
参考例句:
  • The boy's behavior deviates from the usual pattern. 这个男孩子的举止与一般人不同。 来自《简明英汉词典》
  • The limit occurs when the ordinate deviates appreciably from unity. 这个限度发生在纵坐标明显地从单位1偏离的时候。 来自辞典例句
42 deviations 02ee50408d4c28684c509a0539908669     
背离,偏离( deviation的名词复数 ); 离经叛道的行为
参考例句:
  • Local deviations depend strongly on the local geometry of the solid matrix. 局部偏离严格地依赖于固体矩阵的局部几何形状。
  • They were a series of tactical day-to-day deviations from White House policy. 它们是一系列策略上一天天摆脱白宫政策的偏向。
43 surgical 0hXzV3     
adj.外科的,外科医生的,手术上的
参考例句:
  • He performs the surgical operations at the Red Cross Hospital.他在红十字会医院做外科手术。
  • All surgical instruments must be sterilised before use.所有的外科手术器械在使用之前,必须消毒。


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