Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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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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