32 DE QFAMTIT TRANSCENDENT. 



Arc ak — hxcpqzr. ~jz^ 

 a qUci acquatione iib fiibtrahutur, relinquetur: 



Coroll. I. 



Cum k ab abfciffis p et q p-m modo pendeat 

 atque ab / et g, erit : 



7, qr — prj a*iqq — Pp) 



'^ a*^Vipp qq q f -^ p Q^ 



ideoque ablcitia q ex datis /\g-, et p per hanc aeqiia* 



tioiiem debct definiri : 



■ ^ ^ — L^ — ilzr-fQ- vel etiim ex Iric - 

 «♦ — mfrqi — a*-mppqq ^ ^^ cuam cx iiac. 



_ Fg^(pp — g,°)-t-G/jj(pp-/n-p /g(gg-//) 

 q— ¥s[pp—g'g)-hcs,[pp~sn — f^{&i-ff) • 



Coroll. 2. 



Abfciirae p et ^ etiam ita ab abfciffa k pendent, 

 vt fit: 



aaV {aa-mqq)-\-mkpV [aa- q q)—aV(aa—inkk)(aa~mpp) 

 aaViaa- q q) + kpV(^aa-mqq)—aV[aa- kk)(aa~pp) 

 aaV {aa-nipp)'~mkqV(aa- p p)z:iaV [aa-mkk)[aa- mqq) 

 aaV[aa-pp )- kqV[aa~-mpp)z:zaV{aa- kk)[aa- qq) 

 , aaV(aa-mkk)-mpq V{aa- k k) ^aV{aa- mpp)[aa-mqq) 

 aaV[aa- kk)-p qV(aa-?nkk)z=:aV[aa-p p)(aa- qq) 



Coroll. ^. 



Si arcuum fg ct p q differentia debeat euanefcere, 

 neceiTc e^, vt fit, vd k-o, yQ\pq~fg. AtfiAi^o, 



ob 



