344 INQUISITIO PHysica in Causam 
$. 123. Cùm ergo in X aqua fupra libellam elevetur fpaà 
tio ® , in elemento traëtûs infinie parvo XYyx, plus in- 
erit aquæ, quàm in ftatu naturali, & quidem quantitas 
XY. Xx.®, cujus elementi integrale per totum traétum 
famtum debet efle — 0, ex quo valoripfius z innotefcet. 
- X1:. 
Erit autem angulus RPr— “+ hincque arculus Xx=2 2, 
az ec: 
at elementum XY= —, ex quo infinitè parvum re£tangu- 
dxdz 
lum XŸyx == ,in quo ergo exceflus aquæ fupra flatum 
__edxd4z _dx 3LdZ 
naturalem eft — MT ci (adZ+ ii («xgz+ 9 Z} 
—(1pq+POQ 7) ) ; quæ formula bis debet integrari. Po- 
natur primo X conftans, & integratione abfolutà reperie- 
tur in elemento RS5r exceflus aquæ fupra flatum natura- 
d X L 2,3% 
lem—— (2 REP) (es (R—P)—° + 
RP) (np) RE CR—P)—(pq-+P QY 
(R—P) ) *F Integretur hæc formula denuo ut integrale 
ad totum tratum MNnm extendatur, prodibitque in- 
grementum aquæ, quod toti traétui acceflifle oporteret ; 
g(3R—P)—(R5—P)) 
Sa(RP) À Gp. Map (SE ) Er 
(i—2TT)—2MTs) HO (7 Mi mT) 
RE 0 fes Ji as GREEN CR) SUN RE 
z 6 ÿ 
(pg+PQY(R—P) A fin. M),quæ adeo quantitas 
debet effe — o : unde oritur « —2LCUPI+PQN 
2 b3 
L(1—30°)(R'+PR+P:) 31 3L 
463 265 (R—P) Am M 
4 b3 é 
Qt? (2 Ti Mm(1—2TT)) 
Peur L'UNE 
HS (T—Mi—mT) 14 
$. 124. Cognità igitur verà elevatione aquæ in 47 fupra 
libellam ? 
