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Chapter 6 Of Recognition by Sight
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I am about to appear very inconsistent. In previous sections I have said that all figures in Flatland present the appearance of a straight line; and it was added or implied, that it is consequently impossible to distinguish by the visual organ between individuals of different classes: yet now I am about to explain to my Spaceland critics how we are able to recognize one another by the sense of sight.
If however the Reader will take the trouble to refer to the passage in which Recognition by Feeling is stated to be universal, he will find this qualification — “among the lower classes”. It is only among the higher classes and in our temperate1 climates that Sight Recognition is practised.
That this power exists in any regions and for any classes is the result of Fog; which prevails during the greater part of the year in all parts save the torrid zones. That which is with you in Spaceland an unmixed evil, blotting2 out the landscape, depressing the spirits, and enfeebling the health, is by us recognized as a blessing3 scarcely inferior to air itself, and as the Nurse of arts and Parent of sciences. But let me explain my meaning, without further eulogies4 on this beneficent Element.
If Fog were non-existent, all lines would appear equally and indistinguishably clear; and this is actually the case in those unhappy countries in which the atmosphere is perfectly5 dry and transparent6. But wherever there is a rich supply of Fog objects that are at a distance, say of three feet, are appreciably7 dimmer than those at a distance of two feet eleven inches; and the result is that by careful and constant experimental observation of comparative dimness and clearness, we are enabled to infer with great exactness the configuration8 of the object observed.
An instance will do more than a volume of generalities to make my meaning clear.

Suppose I see two individuals approaching whose rank I wish to ascertain9. They are, we will suppose, a Merchant and a Physician, or in other words, an Equilateral Triangle and a Pentagon: how am I to distinguish them?
It will be obvious, to every child in Spaceland who has touched

 the threshold of Geometrical Studies, that, if I can bring my eye so that its glance may bisect an angle (A) of the approaching stranger, my view will lie as it were evenly between his two sides that are next to me (viz. CA and AB), so that I shall contemplate10 the two impartially11, and both will appear of the same size.
Now in the case of (1) the Merchant, what shall I see? I shall see a straight line DAE, in which the middle point (A) will be very bright because it is nearest to me; but on either side the line will shade away RAPIDLY INTO DIMNESS, because the sides AC and AB RECEDE12 RAPIDLY INTO THE FOG and what appear to me as the Merchant’s extremities13, viz. D and E, will be VERY DIM INDEED.
On the other hand in the case of (2) the Physician, though I shall here also see a line (D’A’E’) with a bright centre (A’), yet it will shade away LESS RAPIDLY into dimness, because the sides (A’C’, A’B’) RECEDE LESS RAPIDLY INTO THE FOG: and what appear to me the Physician’s extremities, viz. D’ and E’, will not be NOT SO DIM as the extremities of the Merchant.
The Reader will probably understand from these two instances how — after a very long training supplemented by constant experience — it is possible for the well-educated classes among us to discriminate14 with fair accuracy between the middle and lowest orders, by the sense of sight. If my Spaceland Patrons have grasped this general conception, so far as to conceive the possibility of it and not to reject my account as altogether incredible — I shall have attained15 all I can reasonably expect. Were I to attempt further details I should only perplex. Yet for the sake of the young and inexperienced, who may perchance infer — from the two simple instances I have given above, of the manner in which I should recognize my Father and my Sons — that Recognition by sight is an easy affair, it may be needful to point out that in actual life most of the problems of Sight Recognition are far more subtle and complex.
If for example, when my Father, the Triangle, approaches me, he happens to present his side to me instead of his angle, then, until I have asked him to rotate, or until I have edged my eye round him,

 I am for the moment doubtful whether he may not be a Straight Line, or, in other words, a Woman. Again, when I am in the company of one of my two hexagonal Grandsons, contemplating16 one of his sides (AB) full front, it will be evident from the accompanying diagram that I shall see one whole line (AB) in comparative brightness (shading off hardly at all at the ends) and two smaller lines (CA and BD) dim throughout and shading away into greater dimness towards the extremities C and D.
But I must not give way to the temptation of enlarging on these topics. The meanest mathematician17 in Spaceland will readily believe me when I assert that the problems of life, which present themselves to the well-educated — when they are themselves in motion, rotating, advancing or retreating, and at the same time attempting to discriminate by the sense of sight between a number of Polygons of high rank moving in different directions, as for example in a ball-room or conversazione — must be of a nature to task the angularity of the most intellectual, and amply justify19 the rich endowments of the Learned Professors of Geometry, both Static and Kinetic20, in the illustrious University of Wentbridge, where the Science and Art of Sight Recognition are regularly taught to large classes of the ELITE21 of the States.
It is only a few of the scions22 of our noblest and wealthiest houses, who are able to give the time and money necessary for the thorough prosecution23 of this noble and valuable Art. Even to me, a Mathematician of no mean standing24, and the Grandfather of two most hopeful and perfectly regular Hexagons, to find myself in the midst of a crowd of rotating Polygons of the higher classes, is occasionally very perplexing. And of course to a common Tradesman, or Serf, such a sight is almost as unintelligible25 as it would be to you, my Reader, were you suddenly transported into our country.
In such a crowd you could see on all sides of you nothing but a Line, apparently26 straight, but of which the parts would vary irregularly and perpetually in brightness or dimness. Even if you had completed your third year in the Pentagonal and Hexagonal classes in the University, and were perfect in the theory of the subject, you would still find that there was need of many years of experience, before you could move in a fashionable crowd without jostling against your betters, whom it is against etiquette27 to ask to “feel”, and who, by their superior culture and breeding, know all about your movements, while you know very little or nothing about theirs. In a word, to comport28 oneself with perfect propriety29 in Polygonal30 society, one ought to be a Polygon18 oneself. Such at least is the painful teaching of my experience.
It is astonishing how much the Art — or I may almost call it instinct — of Sight Recognition is developed by the habitual31 practice of it and by the avoidance of the custom of “Feeling”. Just as, with you, the deaf and dumb, if once allowed to gesticulate and to use the hand-alphabet, will never acquire the more difficult but far more valuable art of lipspeech and lip-reading, so it is with us as regards “Seeing” and “Feeling”. None who in early life resort to “Feeling” will ever learn “Seeing” in perfection.
For this reason, among our Higher Classes, “Feeling” is discouraged or absolutely forbidden. From the cradle their children, instead of going to the Public Elementary schools (where the art of Feeling is taught), are sent to higher Seminaries of an exclusive character; and at our illustrious University, to “feel” is regarded as a most serious fault, involving Rustication32 for the first offence, and Expulsion for the second.
But among the lower classes the art of Sight Recognition is regarded as an unattainable luxury. A common Tradesman cannot afford to let his son spend a third of his life in abstract studies. The children of the poor are therefore allowed to “feel” from their earliest years, and they gain thereby33 a precocity34 and an early vivacity35 which contrast at first most favourably36 with the inert37, undeveloped, and listless behaviour of the half-instructed youths of the Polygonal class; but when the latter have at last completed their University course, and are prepared to put their theory into practice, the change that comes over them may almost be described as a new birth, and in every art, science, and social pursuit they rapidly overtake and distance their Triangular38 competitors.
Only a few of the Polygonal Class fail to pass the Final Test or Leaving Examination at the University. The condition of the unsuccessful minority is truly pitiable. Rejected from the higher class, they are also despised by the lower. They have neither the matured and systematically39 trained powers of the Polygonal Bachelors and Masters of Arts, nor yet the native precocity and mercurial40 versatility41 of the youthful Tradesman. The professions, the public services, are closed against them; and though in most States they are not actually debarred from marriage, yet they have the greatest difficulty in forming suitable alliances, as experience shews that the offspring of such unfortunate and ill-endowed parents is generally itself unfortunate, if not positively42 Irregular.
It is from these specimens43 of the refuse of our Nobility that the great Tumults44 and Seditions of past ages have generally derived45 their leaders; and so great is the mischief46 thence arising that an increasing minority of our more progressive Statesmen are of opinion that true mercy would dictate47 their entire suppression, by enacting48 that all who fail to pass the Final Examination of the University should be either imprisoned49 for life, or extinguished by a painless death.
But I find myself digressing into the subject of Irregularities, a matter of such vital interest that it demands a separate section.


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1 temperate tIhzd     
adj.温和的,温带的,自我克制的,不过分的
参考例句:
  • Asia extends across the frigid,temperate and tropical zones.亚洲地跨寒、温、热三带。
  • Great Britain has a temperate climate.英国气候温和。
2 blotting 82f88882eee24a4d34af56be69fee506     
吸墨水纸
参考例句:
  • Water will permeate blotting paper. 水能渗透吸水纸。
  • One dab with blotting-paper and the ink was dry. 用吸墨纸轻轻按了一下,墨水就乾了。
3 blessing UxDztJ     
n.祈神赐福;祷告;祝福,祝愿
参考例句:
  • The blessing was said in Hebrew.祷告用了希伯来语。
  • A double blessing has descended upon the house.双喜临门。
4 eulogies 7ba3958e5e74512a6b4d38a226071b8b     
n.颂词,颂文( eulogy的名词复数 )
参考例句:
  • Her latest film has brought eulogies from the critics. 她最近的这部电影获得影评界的好评。 来自互联网
5 perfectly 8Mzxb     
adv.完美地,无可非议地,彻底地
参考例句:
  • The witnesses were each perfectly certain of what they said.证人们个个对自己所说的话十分肯定。
  • Everything that we're doing is all perfectly above board.我们做的每件事情都是光明正大的。
6 transparent Smhwx     
adj.明显的,无疑的;透明的
参考例句:
  • The water is so transparent that we can see the fishes swimming.水清澈透明,可以看到鱼儿游来游去。
  • The window glass is transparent.窗玻璃是透明的。
7 appreciably hNKyx     
adv.相当大地
参考例句:
  • The index adds appreciably to the usefulness of the book. 索引明显地增加了这本书的实用价值。
  • Otherwise the daily mean is perturbed appreciably by the lunar constituents. 否则,日平均值就会明显地受到太阳分潮的干扰。
8 configuration nYpyb     
n.结构,布局,形态,(计算机)配置
参考例句:
  • Geographers study the configuration of the mountains.地理学家研究山脉的地形轮廓。
  • Prices range from $119 to $199,depending on the particular configuration.价格因具体配置而异,从119美元至199美元不等。
9 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。
10 contemplate PaXyl     
vt.盘算,计议;周密考虑;注视,凝视
参考例句:
  • The possibility of war is too horrifying to contemplate.战争的可能性太可怕了,真不堪细想。
  • The consequences would be too ghastly to contemplate.后果不堪设想。
11 impartially lqbzdy     
adv.公平地,无私地
参考例句:
  • Employers must consider all candidates impartially and without bias. 雇主必须公平而毫无成见地考虑所有求职者。
  • We hope that they're going to administer justice impartially. 我们希望他们能主持正义,不偏不倚。
12 recede sAKzB     
vi.退(去),渐渐远去;向后倾斜,缩进
参考例句:
  • The colleges would recede in importance.大学的重要性会降低。
  • He saw that the dirty water had begun to recede.他发现那污浊的水开始往下退了。
13 extremities AtOzAr     
n.端点( extremity的名词复数 );尽头;手和足;极窘迫的境地
参考例句:
  • She was most noticeable, I thought, in respect of her extremities. 我觉得她那副穷极可怜的样子实在太惹人注目。 来自辞典例句
  • Winters may be quite cool at the northwestern extremities. 西北边区的冬天也可能会相当凉。 来自辞典例句
14 discriminate NuhxX     
v.区别,辨别,区分;有区别地对待
参考例句:
  • You must learn to discriminate between facts and opinions.你必须学会把事实和看法区分出来。
  • They can discriminate hundreds of colours.他们能分辨上百种颜色。
15 attained 1f2c1bee274e81555decf78fe9b16b2f     
(通常经过努力)实现( attain的过去式和过去分词 ); 达到; 获得; 达到(某年龄、水平、状况)
参考例句:
  • She has attained the degree of Master of Arts. 她已获得文学硕士学位。
  • Lu Hsun attained a high position in the republic of letters. 鲁迅在文坛上获得崇高的地位。
16 contemplating bde65bd99b6b8a706c0f139c0720db21     
深思,细想,仔细考虑( contemplate的现在分词 ); 注视,凝视; 考虑接受(发生某事的可能性); 深思熟虑,沉思,苦思冥想
参考例句:
  • You're too young to be contemplating retirement. 你考虑退休还太年轻。
  • She stood contemplating the painting. 她站在那儿凝视那幅图画。
17 mathematician aoPz2p     
n.数学家
参考例句:
  • The man with his back to the camera is a mathematician.背对着照相机的人是位数学家。
  • The mathematician analyzed his figures again.这位数学家再次分析研究了他的这些数字。
18 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。
19 justify j3DxR     
vt.证明…正当(或有理),为…辩护
参考例句:
  • He tried to justify his absence with lame excuses.他想用站不住脚的借口为自己的缺席辩解。
  • Can you justify your rude behavior to me?你能向我证明你的粗野行为是有道理的吗?
20 kinetic p2Fxs     
adj.运动的;动力学的
参考例句:
  • There exist many sources of energy both potential and kinetic.存在着许多势能和动能的能源。
  • The kinetic theory of gases is the best known example.气体动力学理论就是最有名的例子。
21 elite CqzxN     
n.精英阶层;实力集团;adj.杰出的,卓越的
参考例句:
  • The power elite inside the government is controlling foreign policy.政府内部的一群握有实权的精英控制着对外政策。
  • We have a political elite in this country.我们国家有一群政治精英。
22 scions 2f5dd543d83d28564297e8138914f0a2     
n.接穗,幼枝( scion的名词复数 );(尤指富家)子孙
参考例句:
  • Eldritch giants are powerful scions of arcane lore. 邪术巨人是神秘奥术知识的强大传承者。 来自互联网
  • Grafting can join scions with desirable qualities to root stock that is strong and resistsand insects. 嫁接能够将理想质量的接穗嫁接到强有力抗病虫害的砧木上。 来自互联网
23 prosecution uBWyL     
n.起诉,告发,检举,执行,经营
参考例句:
  • The Smiths brought a prosecution against the organizers.史密斯家对组织者们提出起诉。
  • He attempts to rebut the assertion made by the prosecution witness.他试图反驳原告方证人所作的断言。
24 standing 2hCzgo     
n.持续,地位;adj.永久的,不动的,直立的,不流动的
参考例句:
  • After the earthquake only a few houses were left standing.地震过后只有几幢房屋还立着。
  • They're standing out against any change in the law.他们坚决反对对法律做任何修改。
25 unintelligible sfuz2V     
adj.无法了解的,难解的,莫明其妙的
参考例句:
  • If a computer is given unintelligible data, it returns unintelligible results.如果计算机得到的是难以理解的数据,它给出的也将是难以理解的结果。
  • The terms were unintelligible to ordinary folk.这些术语一般人是不懂的。
26 apparently tMmyQ     
adv.显然地;表面上,似乎
参考例句:
  • An apparently blind alley leads suddenly into an open space.山穷水尽,豁然开朗。
  • He was apparently much surprised at the news.他对那个消息显然感到十分惊异。
27 etiquette Xiyz0     
n.礼仪,礼节;规矩
参考例句:
  • The rules of etiquette are not so strict nowadays.如今的礼仪规则已不那么严格了。
  • According to etiquette,you should stand up to meet a guest.按照礼节你应该站起来接待客人。
28 comport yXMyC     
vi.相称,适合
参考例句:
  • His behavior did not comport with his office.他的行为与他的职务很不相称。
  • A judge should comport himself authoritatively.法官举止必须要庄严。
29 propriety oRjx4     
n.正当行为;正当;适当
参考例句:
  • We hesitated at the propriety of the method.我们对这种办法是否适用拿不定主意。
  • The sensitive matter was handled with great propriety.这件机密的事处理得极为适当。
30 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
31 habitual x5Pyp     
adj.习惯性的;通常的,惯常的
参考例句:
  • He is a habitual criminal.他是一个惯犯。
  • They are habitual visitors to our house.他们是我家的常客。
32 rustication a9c238b6da9882f02c540d8c044b1ded     
n.被罚休学,定居农村;乡村生活
参考例句:
33 thereby Sokwv     
adv.因此,从而
参考例句:
  • I have never been to that city,,ereby I don't know much about it.我从未去过那座城市,因此对它不怎么熟悉。
  • He became a British citizen,thereby gaining the right to vote.他成了英国公民,因而得到了投票权。
34 precocity 1a7e73a809d23ba577d92246c53f20a3     
n.早熟,早成
参考例句:
  • The boy is remarkable for precocity. 这孩子早熟得惊人。 来自《现代汉英综合大词典》
  • He is remarkable for precocity. 他早熟得惊人。 来自辞典例句
35 vivacity ZhBw3     
n.快活,活泼,精神充沛
参考例句:
  • Her charm resides in her vivacity.她的魅力存在于她的活泼。
  • He was charmed by her vivacity and high spirits.她的活泼与兴高采烈的情绪把他迷住了。
36 favourably 14211723ae4152efc3f4ea3567793030     
adv. 善意地,赞成地 =favorably
参考例句:
  • The play has been favourably commented by the audience. 本剧得到了观众的好评。
  • The open approach contrasts favourably with the exclusivity of some universities. 这种开放式的方法与一些大学的封闭排外形成了有利的对比。
37 inert JbXzh     
adj.无活动能力的,惰性的;迟钝的
参考例句:
  • Inert gas studies are providing valuable information about other planets,too.对惰性气体的研究,也提供了有关其它行星的有价值的资料。
  • Elemental nitrogen is a very unreactive and inert material.元素氮是一个十分不活跃的惰性物质。
38 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。
39 systematically 7qhwn     
adv.有系统地
参考例句:
  • This government has systematically run down public services since it took office.这一屆政府自上台以来系统地削减了公共服务。
  • The rainforest is being systematically destroyed.雨林正被系统地毀灭。
40 mercurial yCnxD     
adj.善变的,活泼的
参考例句:
  • He was of a mercurial temperament and therefore unpredictable.他是个反复无常的人,因此对他的行为无法预言。
  • Our desires and aversions are mercurial rulers.我们的欲望与嫌恶是变化无常的统治者。
41 versatility xiQwT     
n.多才多艺,多样性,多功能
参考例句:
  • Versatility is another of your strong points,but don't overdo it by having too many irons in the fire.你还有一个长处是多才多艺,但不要揽事太多而太露锋芒。
  • This versatility comes from a dual weather influence.这种多样性是由于双重的气候影响而形成的。
42 positively vPTxw     
adv.明确地,断然,坚决地;实在,确实
参考例句:
  • She was positively glowing with happiness.她满脸幸福。
  • The weather was positively poisonous.这天气着实讨厌。
43 specimens 91fc365099a256001af897127174fcce     
n.样品( specimen的名词复数 );范例;(化验的)抽样;某种类型的人
参考例句:
  • Astronauts have brought back specimens of rock from the moon. 宇航员从月球带回了岩石标本。
  • The traveler brought back some specimens of the rocks from the mountains. 那位旅行者从山上带回了一些岩石标本。 来自《简明英汉词典》
44 tumults 66657c2c9bf3eca476481c5831eb46ce     
吵闹( tumult的名词复数 ); 喧哗; 激动的吵闹声; 心烦意乱
参考例句:
45 derived 6cddb7353e699051a384686b6b3ff1e2     
vi.起源;由来;衍生;导出v.得到( derive的过去式和过去分词 );(从…中)得到获得;源于;(从…中)提取
参考例句:
  • Many English words are derived from Latin and Greek. 英语很多词源出于拉丁文和希腊文。 来自《简明英汉词典》
  • He derived his enthusiasm for literature from his father. 他对文学的爱好是受他父亲的影响。 来自《简明英汉词典》
46 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。
47 dictate fvGxN     
v.口授;(使)听写;指令,指示,命令
参考例句:
  • It took him a long time to dictate this letter.口述这封信花了他很长时间。
  • What right have you to dictate to others?你有什么资格向别人发号施令?
48 enacting 0485a44fcd2183e9aa15d495a9b31147     
制定(法律),通过(法案)( enact的现在分词 )
参考例句:
  • Generally these statutes apply only to wastes from reactors outside the enacting state. 总之,这些法令只适宜用在对付那些来自外州的核废料。 来自英汉非文学 - 环境法 - 环境法
  • In addition, the complexion of enacting standards for live working is described. 另外,介绍了带电作业标准的制订情况。
49 imprisoned bc7d0bcdd0951055b819cfd008ef0d8d     
下狱,监禁( imprison的过去式和过去分词 )
参考例句:
  • He was imprisoned for two concurrent terms of 30 months and 18 months. 他被判处30个月和18个月的监禁,合并执行。
  • They were imprisoned for possession of drugs. 他们因拥有毒品而被监禁。


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