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1、PLANEANDSPHERICALTRIGONOMETRYPLANEANDSPHERICALBOOKSBYTRIGONOMETRYC.I.PALMER(PublishedbyMcGraw-HillBookCompany,Inc.)PALMER'SPracticalMathematics'PartI-ArithmeticwithApplicationsBYPartII-AlgebrawithApplicationsCLAUDEIRWINPALMERPartIII-GeometrywithApplicationsLateProfes
2、sorofMathematicsandDeanofStudents,ArmourInstituteofPartIV-TrigonometryandLogarithmsTechnology;AuthorofaSeriesofMathematicsTextsPALMER'SANDPracticalMathematicsforHomeStudyCHARLESWILBERLEIGHPALMER'SPracticalCalculusforHomeStudyProfessorEmeritusofAnalyticMechanics,Armou
3、rInstituteofTechnology,AuthorofPractical11echanicsPALMERANDLEIGH'SPlaneandSphericalTrigonometrywithTablesPALMERANDKRATHWOHL'SAnalyticGeometryPALMERANDMISER'SCollegeAlgebra(PuhliRherlhyScott,ForesmanandCompany)PALMER,TAYLOR,ANDFARNUM'SPlaneGeometrySolidGeometryFOURTH
4、EDITIONPALMER,TAYLOR,ANDFARNUM'SPlaneandSolidGeometryNINTHIMPRESSION,IntheearliereditionsofPracticalMathematics,Geome-trywithApplicationswasPartIIandAlgebrawithApplica-tionswasPartIII.ThePartshavebcenrearrangedinresponsetomanyrequestsfromusersofthebook.McGRAW-HILLBOO
5、KCOMPANY,INC.NEWYORKANDLONDON1934PREFACETOTHEFOURTHEDITIONThiseditionpresentsanewsetofproblemsinPlaneTrigo-nometry.Thetypeofproblemhasbeenpreserved,butthedetailshavebeenchanged.TheundersignedacknowledgesindebtednesstothemembersoftheDepartmentofMathematicsattheArmourI
6、nstituteofTechnologyforvaluablesuggestionsandcriticisms.HeisespeciallyindebtedtoProfs.S.F.BibbCOPYRIGHT,1914,1916,1925,1934,BYTHEandW.A.SpencerfortheircontributionofmanynewidentitiesMCGRAW-HILLBOOKCOMPANY,INC.andequationsandalsoexpressesthankstoMr.ClarkPalmer,PRINTED
7、INTHEUNITEDSTATESOFAMERICAsonofthelateDeanPalmer,forassistingincheckinganswerstoproblemsandinproofreadingandforofferingmanyconstructiveAllrightsreserved.Thisbook,orcriticisms.partsthereof,maynotbereproducedinanyformwithoutpermissionofCHARLESWILBERLEIGH.CHICAGO,thepub
8、lishers.June,1934.THEMAPLEPRESSCOMPANY,YORK,PA.vlrIPREFACETOTHEFIRSTEDITIONThistexthasbeenwrittenbecausetheauthorsfelttheneedofatre