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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
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11I)
224
PTITLOSOPMIAE NATDRALIS
B. MorV. caris subducantur resistentixe, _C manCBunE ABHTC, RRIIC, 
CORrONOM Nn FTC, SC. ut vires absolutae quibus corpus in principio linsu-
lorum temporum urgetur, atque adeo (per motus Legem IT) uc
incrementa relocitatum, id es, ut rectangula Ak, RB, L. M, AIM, _C;
e propterea (per Lem. I. Lib. TF) in progrestione Ccometrica. Oua-
re  rectae R _, L B Mm, Nn, _c. productxe occurrant FIyperbolae
in gro 5, t3 eC. CrunE area ABgR, KLgr L. LrS M, M St N, _C.
aequales, adeoque cum cemporibus cum riribus gravitatis Cemper
aequalibus analoga. F A autem arca AB gK (per C OrOI. Z. L CM. VTI3
_Lem. VIII, Lib. 2) ad aream Be gut Rg 2d 2kq Ccu AC 2d = AR,
hoc est, uc vis gravicatis ad resictentiam in medio temporis primi.
At simili argumento arcae
gKLVrF. N5,SMNL, _C.
Tune ad arcas gelr, rlm 5.
SMnF, CcC. UC rires grari-
tatis ad resistentias in me-
dio temporis sccundis ter-
tiisquarci, _c. Proinde cum
arcae aequales BAKg. gRLr
pL. MS, SMNLF, aC. Unevi
ribus graritacis analogae
runt arex Bkg, 9utr, rim5.
smnt, ecc. relistentiis in mediis lingulorum temporum, hoc est (per
TIypotheln) relocitatibus, atque adeo delcripeis spatiis analoge.
Srmantur analogarum summae, ee crunt arex Bkq, BIT, BMS, BnF,
ec. spatiis toris descripris analo8x; necnon arex ABgK, ABrL3
AB5M. ABFNI, _cc. temporibus. Corpus igitur inter descenden-
dum, tempore quoris ABr L describit spacium Blr, _ tempOrc
Crt NEpacium rInt. d. F. D. I Mmilis est demonttratio mocus
expoluci in aCcensu. d. F. D.
Corol. T. Igitur velocitas maxima, quam corpus cadendo potest
acquirere, est ad relocicarem dato quoris tempore acquilitam, ue
vis daca gravitacis qua perperuo ursetur, ad rim rehstentix qua in
tinc cemporis illius impeditur.
Corol. 2. Tempore autem aucto in prosrectione Arithmerica, Cumma
velocitacis illius maximae ac relocitacis in alcentu (atque exiam carun-
dem differentin in descensu) decrescit in progressione Creometrica.
C. Orol. 3. Scd ex difterentiae spaciorum, juae in aequalibus tempo-
rum disterenciis deseribuntur, decrescunt in eadem proprectione
Ceometrica
Corot.
LBMEEMIMMEMMMIIBMIMM