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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
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PRINCIPIA MATHEMATICA.
PROPOSITIOV. THEOREMAV.
Planetas Circumjoviales eravitare in fovem, Circumsaturnios in
Saturnum, e Circumsolares in Solem, es vi gravitatis suae
retrahi semper a motibus rectilineis, e in Orbibus curvili-
neis retineri.
Nam revolutiones Planetarum Circumjorialium circaforem, Cir-
cumlaturniorum circa Sarurnum, ec Mercurii ac Veneris reliquo.
rumque Circum solarium circa Solem Cunt Phaenomena ejuldem sC.
neris cum rerolucione Luna circa TCTrAM; _E PFODTCrCA Per
RC9. 1I. d caulis ejuldem generis dependent: praesertim cum de-
monstrarum sit quod rires, a quibus reroluriones illa dependene,
respiciane centra Poris, Sacurni ac Solis, ex recedendo à Jore, Sa-
turno ex Solc decrescant eadem ratione ac legc, qua vis gravitatis
decrescit in receru a PCTTa.
Corot. T. Gravitas isitur datur in Planetas universos. Nam V e
nerem, Mercurium, Caeterolque esse corpora ejusdem generis cum
Jore ex Saturno, nemo dubicat. It cum attractio omnis (per mo-
cus Legem terriam) mutua sit, Supiter in Sacellites luos omnes;
Sacurnus in suos, Terraque in Lunam, et Sol in PlanCtAS OMHCS
Primarios sraritabIE.
Corot 2. Graritarem, quae Planetam unumquemque respicit, esse
reciproce ut quadratum distantix locorum ab ipsiuS CenErO.
Corol. 3. Grares sunt Planetxe omnes in se mutuo per Corol. T.
ex 2. Lc hinc supiter ex Sacurnus prove conjunctionem (c invicem
accrahendo, sensibiliter DCTEUTBANE MOTUS muEuOS, Sol DErEUEBAE
motus Lunares, Sol _e Luna perturbant Mare nostrum, uc in
sequencibus explicabitur.
PROPOSITIOVI THEOREMA VI.
Corpora omnia in Planetas sineulos cravitare, e pondera eorum
in eundem quemvis Planetam, paribus distantiis à centro Pla-
netae proportionalia esse quantitati materiae in singulis.
Descensus grarium omnium in Ferram (dempea Calcem inxquali
cerardarione quae ex Aeris perexisua resiAenEIa OriTUT) aequalibus
cemPO.
EEDEI
LERPLOS