232 DE CAUSA PHYSICA FLUXUS Vide Figuramin pagina 234. - eritque 3 × 35 VᏤď²d = 56 Gdx — & x = 3 × 35 V d² 133 Vdx +24 G x * 56 d G — 133 V d + 24 G x ³ quòd fi in denominatore pro , 15Vd ✯ ſcribatur valor vero propinquus prodibit valor magis accuratus 3 × 35 vd 3 × 35 56 G — 887 , eritque x : d :: 15 V : 8G — quàm proximè. Diverfâ paulò ratione prodit x = + 165 Ꮴ Ꮴ d 56 GG 88 V 15 Vd 8 G & c. quam feriem producere non eft difficile , operæ prætium videbitur . In Prop. VI. quæfivimus figuram aquæ orbem lunarem complentis ex actione Solis oriundam. Hâc correctione adhibitâ , & cæteris retentis ut priùs , Axis minor figuræ foret ad majorem ut 46.742 ad 47.742, quæ parùm differt à ratione quam in ea Propofitione exhibuimus. II. Series quam exhibuimus in Prop. VIII. deducitur per Lem. V. & Prop. II . Sit CA= a. CB = b. CP ― e. CF = c. Cf=f. Cg =g. Sint ACM, ACm Sectiones quavis folidi per rectam AC ( quæ normalis eft plano B Pbp ) tranfeuntes. Arcus mu centro C radio Cm defcriptus , occurrat recta CM in u , & occurrant ordinata MV, mv Axi B b in V & v & circulo BK b in K & k. Sit CĄ CM² = x² , feu x diftantia foci à centro in figura A CM, , fit L Logarithmus quantitatis aa , & ultima ratio a - x gravitatis particulæ A in fruftum planis ACM , A Cm terminatum ad gravitatem in fruftum Sphæræ centro Cradio CA defcriptæ iifdem planis contentum , erit ea 3 CM² L- x ad x³ per Prop. II. Gravitas igitur particulæ A in folidum erit ut 3CM** — * × L CKXKkXCP L = f3cx x x x C P x L - x =. CKXx3 X mu 3 CMXmu x3 CMCM см 3ex kk x3 × L x x L x. Sit CV = u. Eritque u² + b² —u³ × CM² a² 62 ba Unde e² + ¹¹——- ª u² — a³ — x². u² —a³ · e2 --
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