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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 422, page id 1041163592:0456
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42. 2
PHTLOSODMIA NATDRALIS
DEMONDI Per Theoriam Graritatis constitit etiam quod actio Solis in
srena Lunam paulo major sic ubi cransversa diameter Orbis Lunaris
FranEE per Solem, quam ubi eadem ad rectos est angulos cum
linea Terram ec Solem jungente: ee propterea Orbis Lunaris
paulo major est in priore casu quam in polteriore. Ec hinc ori-
cur alia Aquatio motus medii Lunaris, pendens a sIEu APOSXI
Lunae ad Solem, quae quidem maxima est cum Apoexum Lunae
verlatur in Octance cum Sole; et nulla cum illud ad Ouadraturas
vel Sy2ssias perrenit: ex morui medio additur in cransItu APO.
exei Lunae a Solis Duadratura ad 5yzygiam, ex subducitur in eran-
stu Apoexi a 5y278i2 ad Guadraturam. Ilaec Aquacio quam
Semestrem rocabo, in Octancibus Aposxi quando maxima cA,
alcendit ad 3. 45 circirer, quancum ex Phaenomenis colligere
potui. Hlaec est ejus quantitas in medioeri Solis distantia a T Crra.
Augetur vero ac diminuitur in criplicata ratione distantix Solis
inverle, adeoque in maxima Solis distantia eA 3. 34, ec in mi-
nima 3. 56 quamproxime: ubi vero Aposxum l. unae licum CA
extra Octantes, cradit minor; estque ad Aquationem maximam,
uc sinus duplae dictantix Apogei Lunx 2 proxima Sy2YSia vel
Duadratura ad radium.
Per eandem Cravicaris Theoriam actio Solis in Lunam paulo
major est ubi linea recta per Nodos Lunae ducta tran(IE Per 50.
lem, quam ubi linea ad rectos est angulos cum recta Solem ac
Terram jungente. Ec inde oritur alia medii mocus Lunaris A qua-
cio, quam Semestrem secundam rocabo, quaeque maxima eA ubi
Nodi in Solis Octancibus verlantur, ec eraneleit ubi sunc in Sy2Y
siis vel Ouadraturis, ec in aliis Nodorum politionibus proporrio-
nalis est linui duplae distancixe Nodi alterutrius a proxima Syzygia
auc Quadratura: additur vero medio mocui Lunx dum Nodi
cranseune a Solis Juadraturis ad proximas 57278ia5, ee subduci
cur in eorum cransieu a Srzysiis ad Quadraturas; et in Octanti-
bus ubi maxima est, ascendie ad 47 in mediocri Solis dictantia a
lerra, uti ex Theoria Gravitaris colligo. In aliis Solis distantiis
haec A quatio, in Octantibus Nodorum, est reciproce ut cubus di-
cancix Solis a Terra, ideoque in Perisaeo Solis 2d 45 in APO
9xeo ejus ad q0circiter ascendit.
Per eandem Graricaris Theoriam Apogaeum Lunxe progreditur
quam maxime ubi vel cum Sole conjunsitur vel eidem opponitur
dc regreditur ubi cum Sole Juadraturam Facit. EE Eccentricitas
tic maxima in priore casu ee minima in posteriore, Der COrol.
73 8 d 9.