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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 428, page id 1041163592:0462
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1IIII
42
PHTLOSOPHTLE NATDRALIS
ram a norilunio vel plenilunio plus minus duodecimam, adeoque
incidune in horam a novilunio vel plenilunio plus minus quadra-
selimam terciam. Incidune vero in hoc poreu in horam sepei-
mam circiter ab appulsu Lunae ad meridianum loci; ideoque pro-
xime sequuncur appulsum L unae ad meridianum, ubi Luna distac a
Sole vel ab oppolitione Solis gradibus plus minus octodecim rel
novendecim in consequentia. AEctaS ec FIrems maxime vigent,
non in ipsis Solsticiis, sed ubi Sol distat a Solsticiis decima circi-
Ter Parte EotiuS circuitus, seu gradibus plus minus 36 vel 37. FF
similicer maximus FCus maris oritur ab appulsu L unx 2d meri-
dianum locis ubi Luna distat a Sole decima CirCIter PATEC MOFUS
Eorius 2b ACu ad Acum. Sic distancia illa oraduum plus mi-
nuS 182. FE vis Solis in hac distantia Lunx a 5y2yoiis e O12-
draturis, minor eric ad augendum ec ad minuendum mocum ma-
ris a vi Lunae oriundum, quam in ipsis Sy2ygiis ec Ouadraturis, in
ratione radii ad sinum complementi distantia hujus duplicatae seu
anguli oraduum 37, hoc eA, in ratione 10000000 ad 7986355.
Ideoque in analogia superiore pro S scribi debet 0,79863555.
Sed ee vis Lunxe in Ouadraturis, ob declinationem Lunx 2B
AEquatore, diminui debet. Nam Luna in Guadraturis, vel porius
in gradu 182 post Ouadraturas, in declinatione oraduum plus
inuS 22. 13 VerSaEuT. PE Luminaris 2b Aquatore declinantis
vis ad Mare morendum diminuitur in duplicaca ratione sinUS
complementi declinarionis quamproxime. EE PrOPECrCA vis
Luna in his Ouadraturis est FanEUm 0,8570327L. FA igieur
E, + 0,79863555 2d0,8570327T =0,79863555 ut 9 ad 5.
Praecerea diameeri Orbis in quo Luna ab (que Pccentricitate mo-
veri deberer, sune ad invicem ut 69 ad 70; ideoque distancia
Lunxe a Terra in Syxygiis est ad distantiam ejus in Ouadraturis,
NE 69 2d 703 exeteris paribus. Et distancix ejus in gradu. 183 2
Syzreiis ubi AAus maximus gencratur, ec in gradu 182 a Gua-
dracuris abi A BuS minimus genCratUE, Tune ad mediocrem ejus
distanciam, ut 69,098747 8c 69,897345 2d 693. Vires aurem Lu-
1X ad Nare movendum Cune in eriplicata ratione distanciarum in-
verse, ideoque rires in maxima ex minima harum dictanciarum lunt
drim in medioeri distantia, uc 0,9830427 8 1,017522 ad1. Vnde AF
2,017522L +0379863555 4d 0,9830427X0,8570327L-0, 798635;5
uc 92d5. FC S ad L uE T 2d 4, 4815. Leaque cum vis Solis sC
ad vim graritacis uc r ad 12868200, ris Lunxe eric ad rim gravi
Tatis UE 2 ad 2872400.
Corol.
DE MONDI
SXSTEM AZB