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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 179, page id 1041163592:0213
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PRTNOTDTA MATHEMATICA.
dentorcia rectus centrum, vel subuucla lecrguaite cenatetes a
hae (Per PrOP. LXXV) crahene Paas alias Gucteuna
eas limilares GTI, TK, L M, aC. lingula AnS
Proce proportionalibus quacato distantre SF.
ulas viribus reci-
EC COn
ponendo
d+t 2 la
RCENERI- PRIMVS.
vel diridendo. summa virium sacum omnium, vel excessus ali-
quarum supra alias, hoc est, vis quas SphaeTa FOTA CX COnCeN-
cricis quibuscunque rel concentricarum differentiis compolica AB,
trahie totam ex concentricis quibuscunque vel concenericarum dif-
terentiis compolitam GrFI, cric in eadem ratione. AugeatUr nu-
MCrUS SPhXTATUM CONCeEHKCatM M sMcum SC, ut materix den-
ltas una cum vi accraccras lu progleu a Cueetenet
erum, sccundum Leseu Mlancunque crelcat Vel accretcat: de, 2d
ad cen-
dita materia non actractira, compleatur ubiris densitas deficiens, co
ut Sphaerae acquirant Formam quamris optatam; ec vis qua harum
una accrahet alteram erit ctiamnum (per argumentum Cuperius) in
eadem illa distancix quadratae rarione inverta. Q. F. D.
Corol. T. Tlinc s ejusmodi Sphaera complures, sibi invicem per
omnia similes, se mutuo trahant; actractiones acceloratricos lingula-
rum in lingulas crune, in aequalibus quibutris centrorum dictantiis,
ut Sphaerae attrahentes.
Corol. 2. Inque distantiis quibulris inaequalibus, ut Sphaera actra-
hentes applicatae ad quadraca distantiarum inter centra.
Corol. 3. Aerractiones vero motrices, seu pondera Sphaerarum in
Sphaeras crunc, in aequalibus cenerorum distantiis, ut Sphaerx attra-
hentes ee actractae conjunctim, id eAt, uc contenta sub Sphaeris per
mulciplicationem producta.
Corol. 4. Inque distanciis inaequalibus, ut contenta illa applicata
d quadraca distanciarum inter centra.
Corol.