-fin.ftf^fin -;/cof.;(/Vojcof.i(f-<z). 



f. 37- Theorema XXV. Si ponatur diJlantiaVoU 

 a peripheria B G zn R erit nunc tang. Rz=: ~j exijlente 



M*zr (fin.l ^ fin. \f— fin. \ a i\n.\c) (fin. sa fin. \f— fin.^ ^ fm.|tf) 



( fin. \aCm.\e — fin. * c finl ;/) , et 



KT._Sfin.^((74-/+f+^)dn.:(«-f/-r-f)fin.;(fl-/-r+r)f.U/-^r+(r-fl}? 

 - ?cof ^ (tf+/+^ .e)QmaVf-c-\-e)c(.l{a-f-\-c+e)c^{f-{-c^-e- a)S 



Demonjfr. Si confideretur triangulurti A B D , eft 



2fin.; tffin.^gfin.'^ 



**"S -yfin. l \^a+b-\-e)Cin. \ {a+b-e)iin. \ (^a~b\e){:m.i{b^e-a) ' 



in denominatore igitnr pro coC.\b^ fin. *^ eius valores in 

 fuperioribus allatos introducere conuenit, liabebimus igitur 

 denominatorem ita expreffum: 



Vfin.^a+^)cof.^^+cof.;(ff+.^)f.;^)(n^(tf+^)coflA-cor.i(ff+^)f.;5)? 

 i{Ciu.\[a-e)coC\b+coC.^a--e)VJ)){f\{a~e)conb+coC.i{a-e)r^))f 

 Priorum binorum fadorum produdum eft 



CiXX.\(^a'\-eycoC.\b'-coC,\(^a-+-ey(\Xi.\'b* 

 — co[.\b^-col\(^a-^\y\ 

 ct blnorum pofteriorum fncflum 



- fin. Kflf - O; cof \y-+ cof \ (a- V)' fin. \ b' 



z=icoOAa-ey-coi.\'b\ 



Subftituto nunc pro cof. 5 A' eius valore ex §. anfecedWti 



(cori*^-cof.'(«H-^r)'('fin.;«fin.^^^-fin.J>fin.^/) 

 :lC\ti\a(inl':e(coC:Vif+c-)coC\[T-c)-co(.\{a + ey^ 



^fin.\c(m.\f{coi,\(j£ + a)co\.\(e-a')-coi.\(,a+cf). 



