Flatland Edwin.A.Abbott.pdf

Flatland Edwin.A.Abbott.pdf

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时间:2019-02-28

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1、FlatlandFlatlandbyEdwinA.Abbott18841FlatlandPART1THISWORLDSECTION1OftheNatureofFlatlandIcallourworldFlatland,notbecausewecallitso,buttomakeitsnatureclearertoyou,myhappyreaders,whoareprivilegedtoliveinSpace.ImagineavastsheetofpaperonwhichstraightLines,Triangl

2、es,Squares,Pentagons,Hexagons,andotherfigures,insteadofremainingfixedintheirplaces,movefreelyabout,onorinthesurface,butwithoutthepowerofrisingaboveorsinkingbelowit,verymuchlikeshadows--onlyhardwithluminousedges--andyouwillthenhaveaprettycorrectnotionofmycoun

3、tryandcountrymen.Alas,afewyearsago,Ishouldhavesaid"myuniverse:"butnowmymindhasbeenopenedtohigherviewsofthings.Insuchacountry,youwillperceiveatoncethatitisimpossiblethatthereshouldbeanythingofwhatyoucalla"solid"kind;butIdaresayyouwillsupposethatwecouldatleast

4、distinguishbysighttheTriangles,Squares,andotherfigures,movingaboutasIhavedescribedthem.Onthecontrary,wecouldseenothingofthekind,notatleastsoastodistinguishonefigurefromanother.Nothingwasvisible,norcouldbevisible,tous,exceptStraightLines;andthenecessityofthis

5、Iwillspeedilydemonstrate.PlaceapennyonthemiddleofoneofyourtablesinSpace;andleaningoverit,lookdownuponit.Itwillappearacircle.Butnow,drawingbacktotheedgeofthetable,graduallyloweryoureye(thusbringingyourselfmoreandmoreintotheconditionoftheinhabitantsofFlatland)

6、,andyouwillfindthepennybecomingmoreandmoreovaltoyourview,andatlastwhenyouhaveplacedyoureyeexactlyontheedgeofthetable(sothatyouare,asitwere,actuallyaFlatlander)2Flatlandthepennywillthenhaveceasedtoappearovalatall,andwillhavebecome,sofarasyoucansee,astraightli

7、ne.ThesamethingwouldhappenifyouweretotreatinthesamewayaTriangle,oraSquare,oranyotherfigurecutoutfrompasteboard.Assoonasyoulookatitwithyoureyeontheedgeofthetable,youwillfindthatitceasestoappeartoyouasafigure,andthatitbecomesinappearanceastraightline.Takeforex

8、ampleanequilateralTriangle--whorepresentswithusaTradesmanoftherespectableclass.Figure1representstheTradesmanasyouwouldseehimwhileyouwerebendingoverhimfromabove;figures2and3representtheTradesman,

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