Newton, Isaac - Philosophia naturalis principia mathematica

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1atque angulum X (æquationem ſecundam) ad angulum Z (æqua
tionem maximam ſecundam) ut eſt cubus ſinus anguli T ad cubum
Radii. Angulorum T, V, X vel ſummæ T+X+V, ſi angulus
T recto minor eſt, vel differentiæ T+X-V, ſi is recto major eſt
rectiſQ.E.D.obus minor, æqualem cape angulum BHP(motum
medium æquatum;) &, ſi HPoccurrat Ellipſi in P,acta SPab
ſcindet aream BSPtempori proportionalem quamproxime. Hæc
Praxis ſatis expedita videtur,

79[Figure 79]
propterea quod angulorum per
exiguorum V & X (in minutis
ſecundis, ſi placet, poſitorum)
figuras duas terſve primas in
venire ſufficit. Sed & ſatis ac
curata eſt ad Theoriam Planeta
rum. Nam in Orbe vel Martis
ipſius, cujus Æquatio centri ma
xima eſt graduum decem, error
vix ſuperabit minutum unum
ſecundum. Invento autem angulo motus medii æquati BHP,an
gulus veri motus BSP& diſtantia SPin promptu ſunt per
Wardimethodum notiſſimam.

DE MOTU
CORPORUM

Hactenus de Motu corporum in lineis Curvis. Fieri autem po
teſt ut mobile recta deſcendat vel recta aſcendat, & quæ ad iſtiuſ
modi Motus ſpectant, pergo jam exponere.

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