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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 426, page id 1041163592:0460
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PHILOSOPMISL NRLONALI
PBOIOSITIO XXXVI.
PROBLEMAXVO
Invenire vim Solis ad Mare movendum.
Cis vis ML. Ced L L, I OAaOTATATIS LUMaTIOUSS A POTCUI.
BandoS MOTUS LUnArES, CTAE (peF PFOD. XXV. hujuS) ad vim
gravitatis apud nOS, uE 1 2d 638092,6. Ft vis YNI = L. MI seu
2F R in Syzrgiis Lunaribus, est duplo major. IIxe autem vires,
St descendatur ad suxerficiem Terrae, diminuuntur in ratione di-
Ranciarum a cenero Terrae, id est, in ratione 603 2d 1; 2de0-
que vis prior in superticie Ferrae, CA ad vim gravitatis, ut L ad
38604600. Ilac ri Mare deprimitur in locis quae 90 gradibus distant
+20
DE MONDE
SYSTEMLATE
2Solc. Vi altera quae duplo major ost, Mare eleratur et (ub Sole
ec in resione Soli oppolica. Summa virium cAt ad vim gravitacis
UE X 2d 12868200. Ec quoniam vis eadem eundem ciet motum,
sive ca deprimat Aquam in regionibus quae 90 gradibus distane a
Solo, sire eleret eandem in regionibus (ub Sole e Soli oppositis,
haec summa erit tota Solis vis ad Mare asitandum; et eundem
habebie effectum ac _ tota in regionibus sub Sole ee Soli oppo-
Sicis Mare elevaret, in regionibus autem quae g0 gradibus distant
2 Sole nil ageret.
FIaec est vis Solis ad Mare ciendum in loco quovis dato, ubi Sol
eam in verrice loci versatur quam in mediocri sua distantia a
Terra. In aliis Solis positionihus vis ad Mare acrollendum, est
ut sinus versus duplae alcicudinis Solis supra horizontem loci di-
recte ex cubus distantixe Solis a Terra inverle.
Corol. Cum vis centritusa partium Perrxe a diurno Terrxe motu
oriunda, quae est ad vim gravicatis uc 1 ad 289, efficiac ut alci-
tudo