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1、FundamentalsofCOLLEGEGEOMET~SECONDEDITIONIIII.EdwinM.HemmerlingDepartmentofMathematicsBakersfieldCollegeJOHNWILEY&SONS,NewYork8Chichisterl8Brisbane8TorontoIPrefaceBeforerevlsmgFundamentalsofCollegeGeometry,extensivequestionnairesrcresenttousersoftheearlieredition.
2、Aconsciousefforthasbeenmadeinthiseditiontoincorporatethemanyfinesuggestionsgiventherespondentstothequestionnaire.Atthesametime,Ihaveattemptedtopreservethefeaturesthatmadetheearliereditionsopopular.Thepostulationalstructureofthetexthasbeenstrengthened.Somedefinition
3、shavebeenimproved,makingpossiblegreaterrigorinthedevelop-mentofthetheorems.Particularstresshasbeencontinuedinobservingthedistinctionbetweenequalityandcongruence.Symbolsusedforsegments,intervals,rays,andhalf-lineshavebeenchangedinorderthatthesymbolsforthemorecommons
4、egmentandraywillbeeasiertowrite.However,asymbolfortheintervalandhalf-lineisintroduced,whichwillstilllogicallyshowtheir,relationstothesegmentandray,Fundamentalspaceconceptsareintroducedthroughoutthetextinordertopreservecontinuity.However,thepostulatesandtheoremsonsp
5、acegeometryarekepttoaminimumuntilChapter14.Inthischapter,partic-ularattentionisgiventomensurationproblemsdealingwithgeometricsolids.GreateremphasishasbeenplacedonutilizingtheprinciplesofdeductivelogiccoveredinChapter2inderivinggeometrictruthsinsubsequentchapters.Ve
6、nndiagramsandtruthtableshavebeenexpandedatanumberofpointsthroughoutthetext.thereisawidevanancethroughouttheUl1ltedStatesinthetimespentingeometryclasses,Approximatelytwofifthsoftheclassesmeetthreedaysaweek.Anothertwofifthsmeetfivedayseachweek,Thestudentwhostudiesthe
7、firstninechaptersofthistextwillhavecompletedawell-roundedCopyright@1970,byJohnWiley&Sons,Ine.minimumcourse,includingallofthefundamentalconceptsofplaneandAllrightsreserved.spacegeometry.Eachsubsequentchapterinthebookiswrittenasacompletepackage,Reproductionortranslat
8、ionofanypartofthisworkbeyondthatnoneofwhichisessentialtothestudyofanyoftheotherlastfivechapters,permittedbySections107or108ofthe1976UnitedStatesC
