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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 400, page id 1041163592:0434
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4c0
PHTLOSOPHILLE NATORALIS
Mono Ouoniam Figura orbis Lunaris ignoratur, hujus vice aNuma
EXSTEMATI
nus FIipSn D BC , in cujus centro T Ferra COlIOCCTUT, X cu-
jus axis major DC Ouadraturis, minor AB Syzysiis interia-
CCaE. Cum aurem planum Fllipseos hujus motu angulari circa
Terram revolratur, ee Prajectoria cujus curraturam consideramus,
describi debet in plano quod omni moru angulari omnino delti-
tuitur: consideranda erie Figura, quam Luna in Fllipsi illa revol-
rendo describit in hoc plano, hoc est Figura C pa, cujus puncta
singula p inveniuntur capiendo punctum quodris F in FllipIs
quod locum Lunae representet, sc ducendo Tp aequalem TP, ca
lege uc angulus PTp aequalis sic motui apparenti Solis a tem-
Pore Quadraturae C contecto; rel (quod eodem Fere recidic) ve
angulus CTp sc ad angulum
CP P ue tempus revolucio.
nis Synodicae Lunaris ad cem-
pus revolutionis Periodicae
(Cu 299. 12.44, 2d 27 d. 90. 43
Capiacur isitur angulus CJ a
in eadem ratione ad angu-
Jum rectum CT A, _ sIF
Ponsitudo Ta aequalis Ion-
sicudini T A; e crit a
APSIS ima SE C APAIS Tum
ma Orbis hujus Cpa. Ra-
ciones autem incundo inve
nio quod differentia inter
curraturam Orbis Cpa in
vertice a ec curvaturam Cir-
culi centro T intervalIo Y A
descripei, sic ad differentiam
inter curvaturam Ellipleos in
vertice A ec curracuram ejusdem Circuli, in duplicata ratione aH
suli CZ P ad angulum CTp; ec quod curratura EIipscoS in 
sic ad curraturam Circuli illius, in duplicata ratione Z A ad TC;
dc curracura Circuli illius ad curraturam Circuli CEnErO T in-
cervallo TC descripei, ue TC ad F A; hujus autem curvatura ac
curraturam Ellipseos in C, in duplicaca ratione T A ad ZC; et
difterencia inter curraturam Ellipseos in verrice C de curvaturam
Circuli novistimis ad differentiam inter curvacurum Pisurx ZP a
in verrice C de curraturam ejuldem Circuli, in duplicata ratione
as guIi