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1、FundamentalsofCOLLEGEGEOMET~SECONDEDITIONIIII.EdwinM.HemmerlingDepartmentofMathematicsBakersfieldCollegeJOHNWILEY&SONS,NewYork8Chichisterl8Brisbane8TorontoIPrefaceBeforerevlsmgFundamentalsofCollegeGeometry,extensivequestionnairesrcresenttousersoftheearlieredition.Aconsciousefforthasbe
2、enmadeinthiseditiontoincorporatethemanyfinesuggestionsgiventherespondentstothequestionnaire.Atthesametime,Ihaveattemptedtopreservethefeaturesthatmadetheearliereditionsopopular.Thepostulationalstructureofthetexthasbeenstrengthened.Somedefinitionshavebeenimproved,makingpossiblegreaterrig
3、orinthedevelop-mentofthetheorems.Particularstresshasbeencontinuedinobservingthedistinctionbetweenequalityandcongruence.Symbolsusedforsegments,intervals,rays,andhalf-lineshavebeenchangedinorderthatthesymbolsforthemorecommonsegmentandraywillbeeasiertowrite.However,asymbolfortheintervalan
4、dhalf-lineisintroduced,whichwillstilllogicallyshowtheir,relationstothesegmentandray,Fundamentalspaceconceptsareintroducedthroughoutthetextinordertopreservecontinuity.However,thepostulatesandtheoremsonspacegeometryarekepttoaminimumuntilChapter14.Inthischapter,partic-ularattentionisgiven
5、tomensurationproblemsdealingwithgeometricsolids.GreateremphasishasbeenplacedonutilizingtheprinciplesofdeductivelogiccoveredinChapter2inderivinggeometrictruthsinsubsequentchapters.Venndiagramsandtruthtableshavebeenexpandedatanumberofpointsthroughoutthetext.thereisawidevanancethroughoutt
6、heUl1ltedStatesinthetimespentingeometryclasses,Approximatelytwofifthsoftheclassesmeetthreedaysaweek.Anothertwofifthsmeetfivedayseachweek,Thestudentwhostudiesthefirstninechaptersofthistextwillhavecompletedawell-roundedCopyright@1970,byJohnWiley&Sons,Ine.minimumcourse,includingallofthefu
7、ndamentalconceptsofplaneandAllrightsreserved.spacegeometry.Eachsubsequentchapterinthebookiswrittenasacompletepackage,Reproductionortranslationofanypartofthisworkbeyondthatnoneofwhichisessentialtothestudyofanyoftheotherlastfivechapters,permittedbySections107or108ofthe1976UnitedStatesC
