资源描述：
《【The Axioms of Descriptive Geometry】Whitehead》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。
1、uaIllDfluge1ractsinMathematicsandMathematicalPhysicsGENERALEDITORSJ.G.LEATHEM,Iv1.A.E.T.WHITTAKER,M.A.,F.R.S.NO·5THEAXIOMSOFDESCRIPTIVEGEOMETRYbyAoN'QWHITEHEAD,Se.D.,F.R.S.CambridgeUniversityPressWarehousec.F.CLAY,ManagerLondon:FetterLane,E.C.Glasgow:50,'WellingtonStr
2、eetPrice2S.6d.netCambridgeTractsinMathematicsandMathematicalPhysicsGENERALEDITORSJ.G.LEATHEM,M.A.E.T.'iVHITTAKER,M.A.,F.R.S.NO·5TheAxiomsofDescriptiveGeometry.CAMBRIDGEUNIVERSITYPRESSWAREHOUSE,C.F.CLAY,MANAGER.iLanban:FETTERLANE,E.C.8Iassgom:50,WELLINGTONSTREET.lLtip)
3、ig:F.A.BROCKHAUS.j}tm-motlt:G.P.PUTNAM'SSONS.lSombayanb([altttHa:MACMIT.JI.JANANDCO.,I.JT]).(Allrightsreserved]THEAXIOMSOFDESCRIPTIVEGEOMETRYbyA.N.�THITEHEAD,Se.D.,F.R.S.FellowofTrinityCollege.CAMBRIDGE:attheUniversityPress1907Q!:ambribge:PRINTEDBYJOHNCLAY,:M.A.ATTHE
4、UNIVERSITYPRESS.PREFACE.THISthistractisseries,writtenonProjeinctiveconnectiGeomonetry,withandtheprewithviousthetract,sameNogeneral.4ofalms.Inthattract,afterthestatenlentoftheaxioms,theideasconsideredwerethoseconcerningharmonicranges,projectivity,order,theintroductiono
5、fcoordinates,andcross-ratio.Inthepresenttract,afterthestatementoftheaxioms,theideasconsideredarethoseconcerningtheassociationofProjectiveandDescriptiveGeometrybyn1eansofidealpoints,pointtopointcorrespondence,congruence,distance,andmetricalg�ometry.Ithasbeenmyobjectinb
6、othtractstoextendtheinvestigationsjustfarenoughtoassurethereaderthatthewholeofGeometryisreallysecuredbytheaxiomsstated.MyhopesforacomparativefreedomfromtypographicalerrorsarebaseduponmyexperienceoftheexcellenceoftheUniversityPress.A.N.W.CAMBRIDGE.J.llarch,1907.CONTENT
7、S.PAGECHAPTERI.FORMULATIONSOFTHEAXIOMS.Sect.1.TheIntroductionofOrder.12.UndefinedIdeas23.Peano'sAxioms34.DefinitionofaPlane45.AxiomsofaPlane46.AxiomsofThreeDimen�ions57.VariousDefinitions68.Veblen'sAxioms79.Dedekind'sAxiom910.TheEuclideanAxiom.10CHAPTERII.THEASSOCIATE
8、DPROJECTIVESPAnKSect.11.ConvexRegions1212.ConvexRegionsasDescriptiveSpaces1313.ExistenceTheorems1414.FurtherExistenceTheorem
