OpUSCtJLA: 
malis ad S A ; erit finus totus ad cofmum fummae angulo- 
rum PQJI-4-SQJ» ut SCt.: SY; eft itaque SY reaa g, 
cui addita YM — QK = S Q^habetur S M =: g h- SO; cujus 
duplumcum fit parameter, erit fimiliter duplaSY, & dupla 
SCLparameter . erat D. 
SCHOLIOM. 
' Anifeftum eft angulorum S P G , S QJR. diflferentiam ac- 
qualem efle angulo PSQ^, Nam produda GP, donec 
occurrat SQ_in X, erit angulus GPS xqualis angulo PXS, 
five angulo SQR-f-PSQ^. 
M 
S 
LEMMA IL 
It 4p parameter Parabolac A QJR. , ( Ftg. III, ) & jf , » , « fint 
I radii veaore s S O , S Q^, S R r d ico areas O S Q^, Q^S R 
e(Te , ut 2 p + z \/ z — p — (2 p-hy Vy—p • 
2p-\-u Vf*-p-~{2p-\-zy^z — p, 
Demonflratio . 
- Quoniam S O ex Coniris erit SVl - ip — y ^ & 
MA=:^-/, MOznzX y — p p . Ergo fegmentum para- 
bolicum AMO erit -^y—p x y/py—pp: triangulum ve« 
Z 
S M X M O 
10 M O S = — 2 p -y^ypy —pp i quibus conjun- 
dis cxurgit fector A S O =r ( -\- ip — y) V py - pf 
= V py—p p;codem modoreperiunturarcac A S (J^, ASR 
cxpreflsc per -^-^ — \p^~-ppi-^ y<vpu—pp »Ab 
area A S Q^ fi fubtrahatur A S O , exurgit O S = 
2 p -4- z / r 2 p + > — _ . ... - , 
■— — ypz-pp ~ I ""^ ~ V py — pp^ Simihter deducta 
a.S A ex RS A oritur Q_S R =r ^J-^tl v^/ // — /> — 
[2 p -4- z> ■■ — 3 
— Vp^—pp' Igitur arex OS(^, CLS R funt inter 
fe, ut y/p z -pp - vn- ff' 
2/ 
