^^4. DE TRANSLATIONE 



coH A h cof. B c, coC C a ; cof. A r. cof. C b. cof B a , 

 pcr elementa tria A ^, B'^, Cc exprimercm ; vbi 

 quidem poft nliquot tentamina , Yidi rem perfici , 

 quia prius aequatur ipfi 



cof. A r. cof. C a. cof. B ^ -j- cof. C a , 

 et porterius ipfi . 



cof. ^ b. coC B a. cof, C c -\- Gof. B c*, 

 idcoque ambo coniuii(flim huic cxprefiioni: 

 cof.AZ^.cof. BflcofC<:+corAc-cof.CflcofB^+cor.Bfl'+corr<?'=z 

 cof. A^. coi", IXa.c-o^X c -\-coLPiC.QoLQ acvX ^b-\-i — col. A a\ 



quaq exprcflio. .iatn ita comparata cft , vt ficiU ne- 

 gotio per meros cofinus ipforum A r;, B ^, Qc cx- 

 primi queat ; quod tamen pro d(.monltiat o c ipla 

 exfequcnda minime e re eft , vti cx autccedeuLibus 

 patct. 



' ; 18. Videamus nunc, quomodo valorcs. ipforum 

 cof-^^A i^ , cof B a etc. per elcmciua i(ia, cul. A a , 

 cof. B ^, cof C r cxprimantur. Hunc in tinem, con- 

 fideremus formulas : 

 ' cof B /;. cof A tf — cpf. C^ =; fin. A a* cof B Aa. cof ba!i 

 cof.Bb — cof A a cof Cc — fin. A a' fin. B A]a fin. baA ^ 

 ex quibus fumendo quadrata colligitur : 

 col.B/^^cof Aa^-f-cofC^^-icofA^cofB/uofCrzfin.Aa^.cofBAaVof/^^A" 

 cof Bi^'+coI.A«'cof C<r""-2cof Afl cof BZ- cof Ctzfin, Afl*.fin,BAfl'fin /jA'. 

 Sumta igitur differcntia Iiarnm acquationum fit : 

 fin. A flXcof. Ci-'— cof Bb^)- fin. Aa\ cof B A a\ coLbaA* 



— fin. BAa^fin.Z-^yA') 



et 



