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Chapter 1

           Butsomephilosophicalpeoplehavebeenaskingwhythreedimensionsparticularlywhynotanotherdirectionatrightanglestotheotherthree? andhaveeventriedtoconstructaFour-Dimensiongeometry. ProfessorSimonNewcombwasexpoundingthistotheNewYorkMathematicalSocietyonlyamonthorsoago. Youknowhowonaflatsurface,whichhasonlytwodimensions,wecanrepresentafigureofathree-dimensionalsolid,andsimilarlytheythinkthatbymodelsoftheedimensionstheycouldrepresentoneoffouriftheycouldmastertheperspectiveofthething. See?’ 

           ‘Ithinkso,’murmuredtheProvincialMayor; and,knittinghisbrows,helapsedintoanintrospectivestate,hislipsmovingasonewhorepeatsmysticwords. ‘Yes,IthinkIseeitnow,’hesaidaftersometime,brighteninginaquitetransitorymanner. 

           ‘Well,IdonotmindtellingyouIhavebeenatworkuponthisgeometryofFourDimensionsforsometime. Someofmyresultsarecurious. Forinstance,hereisaportraitofamanateightyearsold,anotheratfifteen,anotheratseventeen,anotherattwenty-three,andsoon. Alltheseareevidentlysections,asitwere,Three-DimensionalrepresentationsofhisFour-Dimensionedbeing,whichisafixedandunalterablething. 

           ‘Scientificpeople,’proceededtheTimeTraveller,afterthepauserequiredfortheproperassimilationofthis,‘knowverywellthatTimeisonlyakindofSpace. Hereisapopularscientificdiagram,aweatherrecord. ThislineItracewithmyfingershowsthemovementofthebarometer. Yesterdayitwassohigh,yesterdaynightitfell,thenthismorningitroseagain,andsogentlyupwardtohere. SurelythemercurydidnottracethislineinanyofthedimensionsofSpacegenerallyrecognized? 

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