Opuscula* 207 
praetermilTa; aliam fequamur rei noftrae accommodatillimam ^ 
I ^Z" — b 
Inventa lam ell xquatio XXIII ^ — -r-, ex 
qua oritur td^^ -^dx — D^^- — -. Fiat =: ^ 
- = j & r= W Igitur erit //j^ = udT^ y & = 
XXIX» Nihil iam reliquum eff , nifi ut videamus ad 
quas quadraturas pertineant formulx nd-z^^ w^i. Aio utram- 
que ad hyperbolam inter alfymptotos pertinere.. Etenim , E 
utaris formulis fuppofitis N. fuperiore». invenies t = — -— r- 
a — ca cw -h h a — c/f 
go — r- =. -—— j 
dc w 
, emum rrr i ergo^ . 
a/t a — aw g'^]^ 
au 
az + b cw . 
— — r= -— — Porro' utraque aequatio' pertinet ad hy- 
g. ' ' a\ 
perbolam inter ailymptotos 0. Hac autem: ratione conllrui- 
tur 
XXX.^ Re6lx Aa^, Qcj fe f e ad angulum redum inter- 
— ■ /;/ 
fecent in pundo C Sumatur CA = Ca=:r^~" tt, cui nor- 
aa -f - jc 
aa 
males excitentur AB=:ab =:- — $ & inter auymptotos 
aa /(T ^ ^ 
Q^, Aa defcribantur hyperbolx oppofita^ tranfeuntes per 
ah -j- c£ af 
punaa B , b . Sumatur CD = , & CE = — , & 
^ aa.-h fc aa -h fc 
per E agatur EGT, per D ducatur FDG parallel2e aifym- 
ptotis ; erunt GT=::z> , TS = « . Ergo fpatium FGTS = 
Sadz, = y addita Ct lubet „ vel detrada aliqua. conilan- 
te „ 
XXXIo 
