fW* 
QJO 
) 
( 
'^7 
, r/y 
& az = - , & ddy ~ dxdz -h xddz. Hifce valori- 
X 
bus fuffectis habentur duæ æquationes ndt^ = idzdx 
xddz & 0dt^ =: xdz' — ddx^ qiiæ (okïtionem 
problematis continent , Sc quæ coincidiint cum il- 
lis a Dorn. Clairaut allatis in fua Lunæ Theoria. 
2 dz^dx-{^xäzddz 
Prior harum aequationum dat — =7rdz^ 
dt^ 
àd quam integrandam fequens theorema propofue- 
pdz"^ dx -h qxdzddz 
ram ; n fuerit irdz = 
2 p 
dt^ 
2p 
cfîc 
— I 
Orietur ita- 
dt^ 
x^dz 
5 quae formula inferviet 
que dt = 
-j- a/TTjr’ d z 
ad tempus inveniendum , quo arcus quilibet z erit 
delcribendus. Conftans invenitur ponendo 
jTTx'^äz ~ 0 ^ quod fiet in initio motus feu in M, 
x~dz 
ergo f ~ -, hoc eft ponendo DM = i , & pro 
dt 
dy dy 
dz fuum valorem — , cck = g =: velocitati 
X dt 
initiali, dum ponitur angulus projcflionis jreffus, 
alias — hg ^ fi g fit velocitas initialis & b finus an- 
dy"^ 
guli projctfionis. Ad aequationem (pdt^ — • — ddx 
X 
dxddt dy 
reducendam ßt — = dz conftans , unde 
dt X 
VOL» IV. 
Kk 
po- 
