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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 399, page id 1041163592:0433
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PRTNTOTDTA MIATTEMATTCA.
399
ter se in ulrima proporrione Sinuum vel Tangentium angulorum LIVex
contactuum ad radios aequales pertinencium; ubi radii illi in inti- TEx XIVS.
nicum diminuuntur. Atcractio aurem Lunae in Terram in Sy2y-
Sus eA excelus graritaeis iphius in Terram supra vim Solarem
2PK (Vide Figur. pa5. 594.) qua gravitas acceleratrix Lunae in
Solem superat gravitatem acceleratricem Terrae in Solem. In Oua-
draturis aucem attractio illa est summa gravicatis L unxe in Terram
ec ris Solaris IP, qua Luna in Terram crahitur. Et hae attra-
ctiones, s 2F +CF dicatur N, TUNE uE 178725 2000
178725
C. T9
1000
2Tq
CTXV
de
AZXN quam proxime; sCu UE 17872GN X CF9
20COATgZ CT d 178725NYX ATg + 100OCFgX AT. Nam
E gravicas acceleratrix Lunae in Terram exponacur per numerum
176725, vis medioeris ML, quae in Quadraturis eAt F F vel
T R ec Lunam crahic in Ter-
TaM, CrIt 100O, e VIS MC-
diocris ZM in Syzrgiis crie
3003; de qua, si vis medio.
CriS M L. TUbduCaEUE, mane-
bic vis 2000 qua Luna in
Sy2rgiis distrahitur a Terra,
quamque jam ante nominavi
2F K. Velocitas autem Lu-
nae in SyZyeiis  ec B cA ad
ipsius velocitatem in Oua-
dracuris C _ D, ut CT ad
AZ e momentum arcae quan
Luna radio ad Terram du
eto describit in Sy2ygiis ad
momentum ejusdem arexe in
Ouadraturis conjunetim; 1. C.
UC 12073CF 2d 10973 AT.
Sumatur haec ratio bis in-
verle e racio prior Cemel directe, ec hec curratura Orbis Lu-
naris in Spzyoiis ad ejusdem curraturam in Ouadraturis ut
1204067297 1787, 25 ATgZC. FgXN = 12040672972000AT99
XCT ad 12261 329X 178725ATgX CTg XN + 1226T2329X
200OCTggZ AT, 2 c. UE 2151969ATXCTXN 24081 AT cub.
ad 219237 L A LXCT XNV + 1226LC.ZCMB.
Duoniam
1III
1
WIIIIIII