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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 423, page id 1041163592:0457
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ERINCIOCML MATITLMLLTA.
423
138 ec 9. PrOP. LXVI. B10. L. LC H MaGuancateS Per CadCM L IDEK
generant, quam Semestrem vocabo. Ec Aquatio maxima Seme-
Aris est 128. 28 circicer, quantum ex Obserrationibus colligere
Vocui. Forroxins noster Lunam in Fllipsi circum Terram, in ejus
umbilico interiore constituram, revolri primus Racuie. FTalleis
centrum tillipscos in Epierclo locarit, cujus centrum unitormiter
revolritur circum Terram. Et ex motu in Epicpclo oriuntur in-
eourlierces jam dictae in prooressu ex regressu Apooxi ex quanti-
tace Eccentricitacis. Dividi intelligatur dictancia medioeris Lunx
a Terra in PAFTeS 100000, _E reFCTAE Y Terram _ TC RCCenEEI
citatem mediocrem Lunae parrium 5505. Producatur FC ad 1,
cundum ordinem llatn  teroiur. Captacu anzutus
BC D aequalis capro alzueo amtuos leu duplae dictantiae veri
loci Solis ab Ap0840 Lunae lemel aequato, ex erit C F D A quatio
Corollaria permagne uns et eslatione pnatem B8et PERTIOS.
UE SIE CB sinus Aguationis maximae Semestris 128r. 18 ad ra-
dium l C, ec circulus B cemio cceralo e celetipuo
eric Epicrelus ille in quo centrum Orbis Lunaris locaiur de le
Semeltris Apat Lna a lD Eccentricicas Orbis ejus in APO-
exum secundo aequatum tendens. Itabitis autem Lunxe motu
medio ec APosxo et Eccentricitate, ut ec Orbis axe majore par-
tium 200000; ex his cruetur verus Luux locus in Orbe et di-
cancia ejus a Terra, idque per Mechodos notistimaS.
In Perihelio Terra, propter majorem vim Solis, centrum Or-
bis Lunae relocius moretur circum centrum C quam in Aphelio,
idque in triplicata racione distantixe Terrae a Sole inver(e. OB
A quacionem centrisolis in Arsumento annuo comprehenlam, cen-
trum Orbis Lunae relocius moretur in Epicrclo BD A in du-
plicata ratione distantix Terrx a Sole inverle. Oc idem adhuc
relocius moreatur in ratione simplici dictantiae inverse; ab Orbis
centro D agacur lecta DP. rerlus Apoexum Lunx, scu rectae
C Parallelas et caphatus angulus . D s aequalis excessui Argu-
menti