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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 57, page id 1040780814:0075
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L
ntur:
peta, 
It altC
Vis TCHC
OLIS.
CrUI, N
pertecto
lescriba
UI MOL
etaS qua
resistent
quipper.
DtIS, IN V
ola nin
ii resiste
Si enit
Cd pFOI
dis d 1
Subduct
ntur, V
etur, M
n rectam
dente,
Brobl
Prima
VI.)
licum 1
Fib. I.
_E GEOMEFRFCA F LEMENFA.
Primali Cencro taventio, al guou Det altam Prop. Xa.) cen
vis centripeta, qua a moru rectilineo retrahitur: (deformitas enim
Fllipsis a Mocu sepiuma vel aliunde tantilla elt, ut hic sit negli
Senda:) Fit isitur (Der PrOD. XXXIX.) lex vis contripeta tendentis
ad Primalcc Ca Cll, u dicta ViS hE quadrato diltantia a cen-
tro reciproce proportionalis: hac enim Lola Corpus a motu rectili-
neo in tansente a ri insita orto retrahitur, et in Orbitd Lllipticare.
tinctur. Isi ergo duo motus, (nimirum alter in tansente aquabilis,
alter vero versus Primarii centrum tendens, ex auctus in ratione
qua adratum oManera laceeis ab illo diminuitur,) inter se com-
Polit, Planetant sccundarium (projecti instar) Orbitam L llipricam
delecibctocodunt.
 l. CL
Planetae e Cometae in Cis fais tementur per Cravitatem
eadem leze per universam ossma solare propazatam.
EADPOSITIO XLVI
I5. qu’a Luna ad Terrae centron dehun, quaque in Orbita sua
retinetur, eadem est cum vi Gravitatis, qu’a corpora terrestria
quaevis ad idem centrum tendunt.
spatio dierum 27, horaren 1 seapue  43, Hoc cst, Scrupulis ho-
raxiis 3945, Palet I. c eluo inteora peripherix, LIrC 33 LLupusotu
(sccundum nuperam D. Picart. mensuram)
est pedum Parisientium 123249600; ejul
que proinde semidiameter Ta Dedum
296T580O: Quare T L diameter orbitx L.u.
naris CA Dedum F176948000; nempe (Cx
Draedicta PrOP. XV.) ipsius T a Sexasecupla:
EE arcus F C, 33 FinuS VorTUS LD, _ huic
aequalis BC est pedum Parisiensium 15 +
quam proxime. Igitur vis, qua Luna ver-
uS Perra centrum tendit, (quaque a motu
rectilineo secundum tangentem LB retrahi-
tur, ec in orbita lua retinetur,) talis est qua
Spatio scrupuli unius horarii Lunam versus Terra Cu DelIE
Der pedes Parillenses T5 J. Cumque (per Prop. praec.) rishac in L’una
auseatur in eadem ratione, qud Duadratum distantia a centro Terrx
diminuitur; si descendatur ad superticiem Perta, uD Gcaca
dictantia a centro minuitur ricibis 60 60, ausebitur illa vicibus
DONIGNCE R A F Terrans, CuseS COIIC uL L, VL Orbitam L unX, CujuS
DarS L. C a Luna percurritur spacsouus scrupelli horarii. Ouoniam
(ex PrOp. XV.) Luna perivdMM LuaH IC Mcsum circulum conficit
Tecundorum oradus. Porro, ambitus Terra
6OXCC