QFABRATFRAS COMPARANDL 107 

 Coroll. 2' 



6^. Qiiin etiam pundo p pro incognito habito , 

 propofito arcii Ak, aiius arcus pq aflignari poterit , 

 qui illum fuperet quantitate data, puta zi:C. Habebimus 

 crgo has duas aequationes : 



itji^ — C ct xx-\-jvzikk-^ iXjV^l^kk) 



feu xx-^jjz=zkk-\-'-Yyi^ H-fe^)j ergo 

 x-^-y^y^Jck-^-f-^Tyi^-^kk)) 

 x-y-V{kk-^-i-\~'iy{i -i- kk)) 



Seu fint X ti jr binae radices huius aequationis quadraticae 



zz-?z-{-qpo ; erit Q-^ et Pr>/(/kife+*fe--4-V^y(H-M)) 

 vndesi;iy(M+^+^i/(i-i-^fe))+|y(/:^-T+T>^(i-fi5:/^)). 



Coroll. 4. 



<?5. Quantacunque fit haec qUantitas C, modo 

 fit affirmatiua , femper prodeunt pro .v et y valores 

 reales, iique affirmatiui : At fi fit Cmo, fiet x:izky 

 tiy — Q. Qiiin etiam poni potefl: C negatiuum , quo 

 cafu y reperitur quoque ncgatiuum , et arcus quaefitus 

 \trinque circa verticem A erit dilpofitus. Verum fi 

 fit C =:-D , necefle eft, vt fit D< r{^^(7:^)> ^eu 

 T><^\k{^V(^i-\-kk)—i)-^ nam fi D effet maius, vtraque 

 abfciiKi fieret imaginaria. 



Coroll. 5. 



66, Cafu autem 'D~-Qzz\k{V{i-\-kk)-i) ^ 

 .crit zzzz.\ • ideoque x — -^-V '^{^V {i-^-kk)—!) 



O 2 ct 



