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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 398, page id 1041163592:0432
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898
PHTLOSOPHIE NATVRALIS
DE MONDI Tum 29. BOr. 22. e min. 44. augeri debene momentorum incre.
menca in racione cemporis, id est, in ratione 1080853 ad 1000000,
10C
FIoc pacto incrementum eocum, quod Crat DarS LEGES MOMCNEI
medioeris, jam het ejusdem pars =18Z. Ideoque momencum
arex in Quadratura Lunx erie ad ejus momentum in SyZYeia
uc 12023 = 50 2d 11023 +50, Teu 10973 2d 11073, e ad ejus
momentum, ubi Luna in alio quoris loco intermedio F versaturs
UE 20973 2d 20973 = P d existence videlicet Y F equali 100.
Area isitur, quam Luna radio ad Terram ducto singulis cem
poris parciculis aequalibus describie, est quam proxime uc summa
numeri 219, 46 e Sinus versi duplicatx dictancix Lunx a Ouadra-
cura proxima, in circulo cujus radius est unicas. Hxec ita se ha-
bene ubi Variacio in Octantibus est magnitudinis medioeris. Sin
Variacio ibi major sic vel minor, augeri debet rel minui sinus ille
versus in eadem rationc.
PROPOSTTIOZZMI PROBLEMA VIII.
Fx motu borario Lunae invenire ipsius distantiam a Terra.
Area, quam Luna radio ad Terram ducto, singulis temporis
momeneis, describit, est ue mocus horarius Lunx ex quadratum
distantia Lunxe a Terra conjunctim; ec propterea distantia Lunae
a Terra est in ratione compolita ex subduplicata ratione Arex di-
recte ec subduplicata ratione mocus horarii inverle. 9. F. I.
Corol. L. Fline dacur Lunxe diameter apparens: quippe quae sC
reciproce ut ipsius distantia a Terra. Tencene Astronomi quam
probo haec Regula cum Phaenomenis congruat.
C oroL. 2. Flinc etiam Orbis Lunaris accurarius ex Phaenomenis
quam ancehac detiniri potest.
PROPOSITIO XAVII PROBLEMA IX.
trevenire diametros Orbis in quo Luna, absque eccentricitate,
moveri deberet.
Curratura Prajectoria, quam mobile, si secundum Prajectoria
illius perpendiculum cratatur, describies cst ut accractio directe de
Juadracum relocicacis inverse. Curraturas linearum pono esse in
ter
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