flatland-第14部分

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　there　are　no　angles　either；　not　a　trace　of　one。　Can　it　be　that　I　have　so　misbehaved　to　a　perfect　Circle？〃

〃I　am　indeed；　in　a　certain　sense　a　Circle；〃　replied　the　Voice；　〃and　a　more　perfect　Circle　than　any　in　Flatland；　but　to　speak　more　accurately；　I　am　many　Circles　in　one。〃　　Then　he　added　more　mildly；　〃I　have　a　message；　dear　Madam；　to　your　husband；　which　I　must　not　deliver　in　your　presence；　and；　if　you　would　suffer　us　to　retire　for　a　few　minutes　〃　　But　my　Wife　would　not　listen　to　the　proposal　that　our　august　Visitor　should　so　incommode　himself；　and　assuring　the　Circle　that　the　hour　of　her　own　retirement　had　long　passed；　with　many　reiterated　apologies　for　her　recent　indiscretion；　she　at　last　retreated　to　her　apartment。

I　glanced　at　the　half…hour　glass。　　The　last　sands　had　fallen。　The　third　Millennium　had　begun。




Section　16。　　How　the　Stranger　vainly　endeavoured　to　reveal　to　me　　　　　　　　　　　　　　　　in　words　the　mysteries　of　Spaceland



As　soon　as　the　sound　of　the　Peace…cry　of　my　departing　Wife　had　died　away；　I　began　to　approach　the　Stranger　with　the　intention　of　taking　a　nearer　view　and　of　bidding　him　be　seated：　but　his　appearance　struck　me　dumb　and　motionless　with　astonishment。　Without　the　slightest　symptoms　of　angularity　he　nevertheless　varied　every　instant　with　gradations　of　size　and　brightness　scarcely　possible　for　any　Figure　within　the　scope　of　my　experience。　　The　thought　flashed　across　me　that　I　might　have　before　me　a　burglar　or　cut…throat；　some　monstrous　Irregular　Isosceles；　who；　by　feigning　the　voice　of　a　Circle；　had　obtained　admission　somehow　into　the　house；　and　was　now　preparing　to　stab　me　with　his　acute　angle。

In　a　sitting…room；　the　absence　of　Fog　（and　the　season　happened　to　be　remarkably　dry）；　made　it　difficult　for　me　to　trust　to　Sight　Recognition；　especially　at　the　short　distance　at　which　I　was　standing。　　Desperate　with　fear；　I　rushed　forward　with　an　unceremonious；　〃You　must　permit　me；　Sir　〃　and　felt　him。　My　Wife　was　right。　　There　was　not　the　trace　of　an　angle；　not　the　slightest　roughness　or　inequality：　　never　in　my　life　had　I　met　with　a　more　perfect　Circle。　　He　remained　motionless　while　I　walked　round　him；　beginning　from　his　eye　and　returning　to　it　again。　Circular　he　was　throughout；　a　perfectly　satisfactory　Circle；　there　could　not　be　a　doubt　of　it。　　Then　followed　a　dialogue；　which　I　will　endeavour　to　set　down　as　near　as　I　can　recollect　it；　omitting　only　some　of　my　profuse　apologies　　for　I　was　covered　with　shame　and　humiliation　that　I；　a　Square；　should　have　been　guilty　of　the　impertinence　of　feeling　a　Circle。　　It　was　commenced　by　the　Stranger　with　some　impatience　at　the　lengthiness　of　my　introductory　process。

STRANGER。　　Have　you　felt　me　enough　by　this　time？　　Are　you　not　introduced　to　me　yet？

I。　　Most　illustrious　Sir；　excuse　my　awkwardness；　which　arises　not　from　ignorance　of　the　usages　of　polite　society；　but　from　a　little　surprise　and　nervousness；　consequent　on　this　somewhat　unexpected　visit。　　And　I　beseech　you　to　reveal　my　indiscretion　to　no　one；　and　especially　not　to　my　Wife。　　But　before　your　Lordship　enters　into　further　communications；　would　he　deign　to　satisfy　the　curiosity　of　one　who　would　gladly　know　whence　his　Visitor　came？

STRANGER。　　From　Space；　from　Space；　Sir：　　whence　else？

I。　　Pardon　me；　my　Lord；　but　is　not　your　Lordship　already　in　Space；　your　Lordship　and　his　humble　servant；　even　at　this　moment？

STRANGER。　　Pooh！　what　do　you　know　of　Space？　　Define　Space。

I。　　Space；　my　Lord；　is　height　and　breadth　indefinitely　prolonged。

STRANGER。　　Exactly：　　you　see　you　do　not　even　know　what　Space　is。　You　think　it　is　of　Two　Dimensions　only；　but　I　have　come　to　announce　to　you　a　Third　　height；　breadth；　and　length。

I。　　Your　Lordship　is　pleased　to　be　merry。　　We　also　speak　of　length　and　height；　or　breadth　and　thickness；　thus　denoting　Two　Dimensions　by　four　names。

STRANGER。　　But　I　mean　not　only　three　names；　but　Three　Dimensions。

I。　　Would　your　Lordship　indicate　or　explain　to　me　in　what　direction　is　the　Third　Dimension；　unknown　to　me？

STRANGER。　　I　came　from　it。　　It　is　up　above　and　down　below。

I。　　My　Lord　means　seemingly　that　it　is　Northward　and　Southward。

STRANGER。　　I　mean　nothing　of　the　kind。　　I　mean　a　direction　in　which　you　cannot　look；　because　you　have　no　eye　in　your　side。

I。　　Pardon　me；　my　Lord；　a　moment's　inspection　will　convince　your　Lordship　that　I　have　a　perfect　luminary　at　the　juncture　of　two　of　my　sides。

STRANGER。　　Yes：　　but　in　order　to　see　into　Space　you　ought　to　have　an　eye；　not　on　your　Perimeter；　but　on　your　side；　that　is；　on　what　you　would　probably　call　your　inside；　but　we　in　Spaceland　should　call　it　your　side。

I。　　An　eye　in　my　inside！　　An　eye　in　my　stomach！　　Your　Lordship　jests。

STRANGER。　　I　am　in　no　jesting　humour。　　I　tell　you　that　I　come　from　Space；　or；　since　you　will　not　understand　what　Space　means；　from　the　Land　of　Three　Dimensions　whence　I　but　lately　looked　down　upon　your　Plane　which　you　call　Space　forsooth。　　From　that　position　of　advantage　I　discerned　all　that　you　speak　of　as　SOLID　（by　which　you　mean　〃enclosed　on　four　sides〃）；　your　houses；　your　churches；　your　very　chests　and　safes；　yes　even　your　insides　and　stomachs；　all　lying　open　and　exposed　to　my　view。

I。　　Such　assertions　are　easily　made；　my　Lord。

STRANGER。　　But　not　easily　proved；　you　mean。　　But　I　mean　to　prove　mine。

When　I　descended　here；　I　saw　your　four　Sons；　the　Pentagons；　each　in　his　apartment；　and　your　two　Grandsons　the　Hexagons；　I　saw　your　youngest　Hexagon　remain　a　while　with　you　and　then　retire　to　his　room；　leaving　you　and　your　Wife　alone。　I　saw　your　Isosceles　servants；　three　in　number；　in　the　kitchen　at　supper；　and　the　little　Page　in　the　scullery。　　Then　I　came　here；　and　how　do　you　think　I　came？

I。　　Through　the　roof；　I　suppose。

STRANGER。　　Not　so。　　Your　roof；　as　you　know　very　well；　has　been　recently　repaired；　and　has　no　aperture　by　which　even　a　Woman　could　penetrate。　　I　tell　you　I　come　from　Space。　　Are　you　not　convinced　by　what　I　have　told　you　of　your　children　and　household？

I。　　Your　Lordship　must　be　aware　that　such　facts　touching　the　belongings　of　his　humble　servant　might　be　easily　ascertained　by　any　one　in　the　neighbourhood　possessing　your　Lordship's　ample　means　of　obtaining　information。

STRANGER。　　（TO　HIMSELF。）　　What　must　I　do？　　Stay；　one　more　argument　suggests　itself　to　me。　　When　you　see　a　Straight　Line　　your　wife；　for　example　　how　many　Dimensions　do　you　attribute　to　her？

I。　　Your　Lordship　would　treat　me　as　if　I　were　one　of　the　vulgar　who；　being　ignorant　of　Mathematics；　suppose　that　a　Woman　is　really　a　Straight　Line；　and　only　of　One　Dimension。　　No；　no；　my　Lord；　we　Squares　are　better　advised；　and　are　as　well　aware　as　your　Lordship　that　a　Woman；　though　popularly　called　a　Straight　Line；　is；　really　and　scientifically；　a　very　thin　Parallelogram；　possessing　Two　Dimensions；　like　the　rest　of　us；　viz。；　length　and　breadth　（or　thickness）。

STRANGER。　　But　the　very　fact　that　a　Line　is　visible　implies　that　it　possesses　yet　another　Dimension。

I。　　My　Lord；　I　have　just　acknowledged　that　a　Woman　is　broad　as　well　as　long。　　We　see　her　length；　we　infer　her　breadth；　which；　though　very　slight；　is　capable　of　measurement。

STRANGER。　　You　do　not　understand　me。　　I　mean　that　when　you　see　a　Woman；　you　ought　　besides　inferring　her　breadth　　to　see　her　length；　and　to　SEE　what　we　call　her　HEIGHT；　although　that　last　Dimension　is　infinitesimal　in　your　country。　If　a　Line　were　mere　length　without　〃height〃；　it　would　cease　to　occupy　Space　and　would　become　invisible。　　Surely　you　must　recognize　this？

I。　　I　must　indeed　confess　that　I　do　not　in　the　least　understand　your　Lordship。　　When　we　in　Flatland　see　a　Line；　we　see　length　and　BRIGHTNESS。　　If　the　brightness　disappears；　the　Line　is　extinguished；　and；　as　you　say；　ceases　to　occupy　Space。　But　am　I　to　suppose　that　your　Lordship　gives　to　brightness　the　title　of　a　Dimension；　and　that　what　we　call　〃bright〃　you　call　〃high〃？

STRANGER。　　No；　indeed。　　By　〃height〃　I　mean　a　Dimension　like　your　length：　　only；　with　you；　〃height〃　is　not　so　easily　perceptible；　being　extremely　small。

I。　　My　Lord；　your　assertion　is　easily　put　to　the　test。　You　say　I　have　a　Third　Dimension；　which　you　call　〃height〃。　Now；　Dimension　implies　direction　and　measurement。　　Do　but　measure　my　〃height〃；　or　merely　indicate　to　me　the　direction　in　which　my　〃height〃　extends；　and　I　will　become　your　convert。　　Otherwise；　your　Lordship's　own　understanding　must　hold　me　excused。

STRANGER。　　（TO　HIMSELF。）　　I　can　do　neither。　　How　shall　I　convince　him？　　Surely　a　plain　statement　of　facts　followed　by　ocular　demonstration　ought　to　suffice。　　　Now；　Sir；　listen　to　me。

You　are　living　on　a　Plane。　　What　you　style　Flatland　is　the　vast　level　surface　of　what　I　may　call　a　fluid；　on；　or　in；　the　top　of　which　you　and　your　countrymen　move　about；　without　rising　above　it　or　falling　below　it。

I　am　not　a　plane　Figure；　but　a　Solid。　　You　call　me　a　Circle；　but　in　reality　I　am　not　a　Circle；　but　an　infinite　number　of　Circles；　of　size　varying　from　a　Point　to　a　Circle　of　thirteen　inches　in　diameter；　one　placed　on　the　top　of　the　other。　　When　I　cut　through　your　plane　as　I　am　now　doing；　I　make　in　your　plane　a　section　which　you；　very　rightly；　call　a　Circle。　　For　even　a　Sphere　　which　is　my　proper　name　in　my　own　country　　if　he　manifest　himself　at　all　to　an　inhabitant　of　Flatland　　must　needs　manifest　himself　as　a　Circle。

Do　you　not　remember　　for　I；　who　see　all　things；　discerned　last　night　the　phantasmal　vision　of　Lineland　written　upon　your　brain　　do　you　not　remember；　I　say；　how；　when　you　entered　the　realm　of　Lineland；　you　were　compelled　to　manifest　yourself　to　the　King；　not　as　a　Square；　but　as　a　Line；　because　that　Linear　Realm　had　not　Dimensions　enough　to　represent　the　whole　of　you；　but　only　a　slice　or　section　of　you？　　In　precisely　the　same　way；　your　country　of　Two　Dimensions　is　not　spacious　enough　to　represent　me；　a　being　of　Three；　but　can　only　exhibit　a　slice　or　section　of　me；　which　is　what　you　call　a　Circle。

The　diminished　brightness　of　your　eye　indicates　incredulity。　　But　now　prepare　to　receive　proof　positive　of　the　truth　of　my　assertions。　You　cannot　indeed　see　more　than　one　of　my　sections；　or　Circles；　at　a　time；　for　you　have　no　power　to　raise　your　eye　out　of　the　plane　of　Flatland；　but　you　can　at　least　see　that；　as　I　rise　in　Sp