-441 ) 32 8 ( |c€- 



Quodfi nunc a triplo areae F S G , quod eft 



3A=:(g + 2p)V(pg-^p)-(/+2p)y(p/-/)/)), 

 aufFeratur 



'.fgfin.^~(g--^p)yipf-pp)-if-^p)yipg~pp\ 



remanebit 



^A-lfg fin. 6 - if-Vg^iypg-pp - ypf~pp). 

 Eft vero 



• yipg~pp)- y{pf~p p) = yfg . rm. i &, 



ideoque 



3 A - i/g fiP. e z: V^^g . (/+ g) fin. 1 ^ 

 confequenrer area 



FS G = A::=;f/-f g)fin.'eV/g + i/gfin.^. 



quae expreino cum illa in dilTertatione memorata per mul- 

 tas ambages inuenta prorfus congruit. 



Corollarium i. 



§. 3. Si fuerir g — 2 f et angulus $ — 90', hic 

 cafus efl; quo pun(flum F reperitur in ipfo perihelio, feu 

 \ertice parabolae 11, reda autem S G eft applicata in fo- 

 co parabolae. Hoc igitur cafu crit area An:?//, vti re- 

 quiritur. 



Corollarium 2. 



§. 4 Cafus etiam mcmoratu dignus prodit, quan- 



Fig» 3. ^^ angiilus FSG— (latuirur diiobus redis acqualis. Hoc 



enim cafu an bo radii vccHores S G et S F in diret^um 



iaccbuni tt A denotabit arcam fegmcnti parabolici FllGS 



leda per focum S du<f^a abfciilij i(U autem area erit 



A-lCf^g-)Vfg. 



$. 5. 



Tab. V. 



