CORPORVM RIGIEORVM. 2(^7 



Simili ratione confequemur 



coilB\a-ba\ )-col.BAa cof.^^^A-f fin B Aofip.^flA 

 = ( cor. B A - cof. C . ) t* t ■ ii' = ^,^$p. 



Quum vero fit 



(cori3f+c<)f.C/?)'=rfi-cofAfll'-fcof.B^-cor.C(r)* et 

 (cofBt--cof.C^)'-(i+cof.A«)-(col.BZ;+coI.C(r)*, 



hinc concludemus cflTe 



(co(.B<r-i-cof.C^/i::(i-cof.Art)'(i-cof (BA<7-^flA)') 



— (i-co(.A«)'fin. (BA<?-^aA)\ 

 vnde 



cof.B(r-hcofC^r(i-cof Aa)fin.(BA<7-^M) , fimiliquc 



modo fiet 

 cof Btr— cof.C^rC i+cof A«)fin,(BA«+^aA). 

 Similes exprcfTioncs pro 



cnf A c -[- cof C n , cof C a — cof A C 



inuemri poffunt , quas hic exponere nihil eft ne- 

 ce(fc. 



20. Si Z fit pnnftum , quod poft conuerfio- 

 nem fphaerae eundem occupat locum ac in ftatu ini- 

 tiali , lupra vultmus , effc dcbere : 

 cof ZArrcof Z A.cof A^+cofZB cof A^+cofZCcof.A^ 

 co(.ZB-cof ZA.col B^+coi ZB cof B/^+cofZCcofB<r 

 co(.ZC=:co( ZA.cof fl+cofZB.cof C6+cof ZC.cofCtf-. 

 In prima harum aequationum, loco cof A ar, coi.A^, 

 cofAf, introdnc;intnr corum valorcs , qui (unt ; 

 cof Aa = cof A Z' + fin. A Z' cof A Za 

 cof A ^ =: cof A Z co( B Z + fin. A Z fin. B Zcof A ZZ» 



cof A f:=:cof AZcofCZ + fin. A Z.fin.CZcof A Zt', 



L 1 0. hocque 



