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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 402, page id 1041163592:0436
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402
PHITLOSOPMLAE NATORALIS
DEMorDIZC ICu 69 2d 70. Debec autem descriptio arex CF P, in pro-
Srorenaxeressu Lunae 2 Ouacracura ad 5yz) giam, ea ratione accelerari, uE
ejus momencum in 5y278ia Lunxe sic ad ejus momentum in Jua-
drAEUrA UE T1O73 ad 10973, uEque excessus momenti in lOcO
quoris incermedio P supra momentum in Ouadratura sIC VE qua-
dratum sinus anguli CFF. Id quod satis accurate ACF, (I FaN-
oens anguli CT P diminuatur in subduplicata ratione numeri
10973 ad numerum 11073, id est, in ratione numeri 68,6877 2d
numerum 69. Ouo paeto
tangens anguli CT P jam c.
ric ad tangentem mocus me-
dii ut 68,6877 2d 70, _ an-
sulus CT F in Octancibus,
ubi motus medius cAt 4.5 er.
invenietur 448. 27. 28. qui
subductus de angulo mmotus
medii 458 relinquie Varia-
tionem maximam 32. 32
Hlaec ica se haberent (i Luna,
pergendo a Ouadratura ad
Sy2ygiam, delcriberet angu.
tum CT A graduum cancum
nonaginta. Verum ob mo-
eum Perrae, quo Sol in con-
sequentia mmotu apparente
eranstertur, Luna, priusquam
Solem assequitur, describie
angulum C. Ta angulo recto majorem in ratione temporis revo-
lucionis Lunaris Srnodica ad tempus revolutionis Periodicae, id
eHt, in ratione 298. 121. 441. 2d 27d. 9h. 43. Et hoc pacto an-
suli omnes circa centrum Z dilacantur in eadem ratione, s Va-
riatio maxima quae secus eNet 32. 32 jam aucta in eadem ratione
AC 35. 10.
Hlaec est ejus magnieudo in medioeri distantia Solis a Terra,
neglectis differenciis quae 2 curracura Orbis masni majorique 50.
lis actione in Lunam falcatam ec novam quam in sibbosam ec
plenam, oriri possinc. In aliis distanciis Solis a Perra, Variario
maxima est in racione qua componitur ex duplicata ratione tem.
poris rerolutionis Synodicae Lunaris (dato anni tempore) directe,
ec criplicata ratione dictantix Solis a Terra inverse. Ideoque in
APO520