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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 431, page id 1041163592:0465
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PRINCTPTA MATTTEMATTCA.
431
bebitur vis cota graricaris in Orbe Lunxe, per Corol. PrOD. LIT. LIBEN
Lc hac vi Luna cadendo, tempore minuti unius primi describere TEKrIS.
deberet pedes 14,89517. Et ad sexagelimam partem hujus di-
Ttancix, id est, ad diltantiam Dedum 19849995. a CentrO TCrrX,
corpus grare cadendo, tempore minuti unius secundi delcribere
deberet etiam pedes 14,89517. Diminuatur haec dictantia in (ub.
duplicata ratione pedum 14389527 ad pedes 15, 12028) de hahebitur
dictantia pedum 19701678 a qua srare cadendo, codem FemDOrE
minuti unius sccundi describet Pedes 15, 12028, id CA, Pedes 15.
dig. I, lin. 5332. Ee hac ri gravia cadune in superticie Perre, i
Lacitudine urbis Lutetia Parisiorum, ut Cupra octensum est. Est
aucem dictantia pedum 19701678 paulo minor quam Cemidiame-
ter globi huic Terrae aequalis, e paulo major quam Terrae hujus
Temidiameter mediocris, ut oportet. Sed difterentix lunt intensi-
biles. Ee propeerea vis qua Luna recinctur in Orbe (uo, ad di-
cantiam maximarum Terrae Cemidiamerrorum 60+, ca es quam
vis Gravicacis in (uperticie Perrae requirit.
Corol. 8. Diltancia mediocris centrorum Terrae e Lunx, est me-
diocrium Terrae semidiametrorum 602 quamproxime. Nam sc-
midiameter medioeris, quae crat pedum 19688725) CA 2d semi-
diamerrum maximam pedum 19767630, uc 607 2d 60: quam-
Proxime.
In his compurationibus Aetractionem magneticam Perra non
considerarimus, cujus utique quantitas perparra eA ec ignoratur.
Siquando vero haec Atcractio inrestigari pocerit, et mentura ora-
duum in Moridiano, ac longitudines l’endulorum ilochronorum in
diversis parallelis, legesque motuum Maris, et parallaxis L. unx
cum diametris apparentibus Solis et Lunx ex Phiaenomenis accu-
racius decerminacae fuerine: licebit calculum hunc Omnem accura-
CIUS FCPCTErC.
PROPOSTTIO ZXXVIII PROBLEMA XIX.
Invenire Ficuram corporis Lunae.
Si corpus Lunare Auidum eNset ad instar Maris nostri, vis Perrx
ad Auidum illud in partibus e citimis ee ultimis clerandum, cNet
ad vim Lunae, qua Plare nostrum in partibus ec luo Luna et Lune
oppoltis accollitur, uc gravitas acceleratrix Lunxe in Terram ad
Graricatem acceleratrieem Texrxe in. Luriam ec dinmerer Lunx ad
diame.
(HIIIII
11