m ) o { ^ 
259 
vero efl: ddt=:Oy eric 
2dV‘ 
Trdvdz 
quo valorc pofito pro 
V 
2 dv' 
dz^ 
<p~ 
Tïdv 
vdz' 
i:dz\ 
orietur ddv vdz^ 
0 nt prills. 
1+2/ 
Tidz 
v'^g-b^ 
5 - 3 - 
Æquatio differendo differenrialis ddt -+• N^tdz^ 
Mdz^ == 0 , in qua t Sc z funt variabiles, eft 
qiiandtas data, Sc M defignat funQ:ionem quamli- 
bet ipfius , dz autem ïlimicur conftans, vulgo 
dicitur æquatio differendo differentialis trium corpo- 
rum, propterea quod æquatio dudum allata per 
certas limitationes reducatur ad hujus æquationis 
formam. Eo itaque refpefiu dependet integratio 
æquationis, ad finem § prioris allatæ, ab integra- 
tione hujus æquationis. Dora. d’AlembertJo citata 
fua Lunæ Theoria modum dederat hanc integran- 
di æquadonem, quem deinde applicat ad refoludo- 
nem æquationis generalis trium corporum ddv -p 
vdz^ -{- &c. Dom. Claïraut fîmiliter in fua Lunæ 
Theoria certo modo derivat integrationem fuæ æ- 
quationis diiferentio differentialis ad orbitam Lunæ, 
quæ huic noftræ allatæ eft fimilis , ab integratione 
æquationis formæ ddt -f* N^tdz^ -f Mdz'^ — 0. 
Quoniam forma integraiis hujus æquationis ul- 
îimæ Tiobis fcicii eft necedaria in ratiociniis fubfe- 
Kk 2 quen- 
