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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 364, page id 1041163592:0398
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364
PHILOSOPHLSE NATVRALIS
DE MOnBIonem 562. AC TrcBO, eE quoEquOE ejus Pabulas retractionum
SxSTEMATE sequuntur, constituendo retractiones solis et Lunxe (ommino con-
era nacuram Lucis) majores quam Vizarum, idque scrupulis quasi
quatuor rel quinque, auxerune parallaxin Lunae scrupulis toridem,
hoc eA, quali duodecima vel decima quinta parte totius paralla-
2c05. Corrisatur ilte error, et dictantia crader quali 602 Temi-
diamerrorum cerrestrium, Fere ut ab aliis allignatum est. ANuma
mus dictanciam medioerem sexaginta lemidiametrorum; e L una-
rem periodum respectu Fixarum compleri dicbus 27, horis y mi-
Dutis primis 43, uc ab Astronomis Racuitur; acque ambitum l’exrx
esse pedum Parisiensium 223249600, uei a C ablis menturantibus de-
finicum cAt: FC Si Luna mocu omni prirari finsaeur ac dimitei uEs
urgence ri illa omni qua in Orbe suo recinetur, descendat in Ter-
ram; haec spacio minuti unius primi cadendo describet pedes Pari
AenSeS 15,2. Collisitur hoc ex calculo vel per Propositionem
XXXVT. Libri primi, vel (quod eodem recidit) per Corollarium
nonum Propolicionis quarexe ejusdem Libri, contecto. Nam ar-
cus illius quem Luna tempore minuti unius primi, medio (uo
motus ad distantiam sexaginta semidiametrorum terrectrium de
Scribat, Sinus versus est pedum Parisiensium 15 circiter. Vndo
cum vis illa accedendo ad Terram augeatur in duplicara dictancix
ratione inveria, adeoque ad superticiem PCrrXe major Ac parcibus
60760 quam ad Lunam; corpus vi illa in regionibus nostris ca-
dendo, describere deberet spatio minuei unius primi pedes Pari-
GenseS 60X60725,2 e spacio minuri unius sccundi pedes 1512
acqui corpora in resionibus nostris ri graritatis cadendo, delcri-
bune tempore minuri unius secundi pedes Parisienses 15,, uri
Flugenius Factis pendulorum experimentis et computo inde inito.
demonstrarit: et propterea (per RCg. r. _C TI.) vis qua Luna in
Orbe Cuo retinetur, illa ipsa est quam nos Graricarem dicere Cole-
us. Nam si Graritas ab ca direrla cA, corvora viribus ucrisque
conjunctis Terram perendo, duplo relocius descendene, de spacio
minuri unius secundi cadendo describent pedes Parisien (Cs 305:
omnino contra lxperientiam.
Calculus hic Fundatur in hypochesi quod Terra quieseit. Nam
si Terra ee Luna circum Solem moveaneur, ec interea quoque cir
cum commune graricatis cenerum revolrantur: dictantia centro-
rum Lunx ac Terrae ab invicem crie 602 Semidiamerrorum ter-
rectrium; uti compurationem (Dex PFOD. LX. Lib. I.). incunti
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