er ReErLUuxUus Mari:is 215 
3 242 2 4 ï 
JE Gzixiicia + x: Quare fit a quan- 
at—c?x me > 
titas cujus Logarithmus evanefcit, five fyftematis Logarith- 
Un . n te 23 À 
micimodulus, /Logarithmus quantitatis 4 PE > eritque 
> 24? ——— . : : 
ARK= > x]—z. Unde vis quà particula À gravitat 
versùs folidum genitum motu fegmenti elliptici AU MA cir- 
ca Axem 44, erit ad vim quâ eadem particula gravitat versùs 
folidum genitum motu fegmenti circularis ex circulo fupra 
diametrum #4 defcripti eadem retta 4 Mabfciffi circa eun- 
demAxem ut Les x 1— x ad . ; & fi L fit Logarithmus 
uantitatis 4 2+€ (vel 4 X ac) erit vis quà particula 
q a —c b 
A tendit versüs totam Sphæroidem ad vim quâ tendit versùs 
totam Sphæram ut 3 x L— cad. 
ScHoL. Eàdem ratione invenitur gravitas particulæ in 
Polo fitæ versùs Sphæroidem oblatam, quærendo aream cu- 
jus ordinata eft=#% x_#, Si BAba Sphærois oblata 
ci b+z 
motu Ellipfs B4 b circa Axem minorem genita, centro 
B, radio BC defcribatur Arcus circuli CS, reûtæ BF 
occurrens in S,.eritque gravitas in hanc Sphæroidem in 
» Polo B ad gravitatem in eodem loco versüs Sphæram fu- 
er diametrum B à defcriptamut 3C4:x CF—CS ad CF, 
Mo ver quà gravitas particulæ in Æquatore fitæ 
versès Sphæroidem oblongam vel oblatam computatur, eft 
minüs obvia, facilis tamen evadit ope fequentis Lemmatis.. 
LEemma VI 
Duo plana B MbaB,BZgeB fe mutuo fecent in re- 
a HB », communi figurarum tangente , auferanrque ex 
folido fruftum BMbaBzgeB ; fint femicirculi HC, 
H ch fe&tiones horum planorum & fuperficiei Sphæræ cen- 
tro B, radio BC defcriptæ. Ex punéto B educatur retta 
quævis B Min priori plano figure B M b a occurrens in M, 
Fic. 1X; 
