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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 233, page id 1041163592:0267
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PRINOIPTA MATHEMATICA.
2.33
AE tempora quibus corpus deseribie arCuS GFP, PYY, CruNE in LIVEn
lubduplicara ratione alcicudinum L. TT, NV I quaS COrPUS TemPO- SEOVNDOS.
ribus illis describere posser, a tangentibus cadendo: de relocitates
crunt ut lonsitudines delcripex GTI, FII direcre de tempora in-
verle. LxPONANEUE tempOrA Per Y eE t, ec velocitates Per
GTI
eC
:ec decrementum relocitatis tempore + Factum ex-
DOnCtUT per CH IIL
HIoc decrementum oritur a resistentia
corpus recardante ee graritate corpus accelerante. Gravitas in
corpore cadente ec sparium NVI cadendo describente, generat ve-
locitatem qua duplum illud spacium eodem tempore describi Do-
cuisset (ut Calibaeus demonstravic) id est, velocitatem =L =: 2E
in corpore arcum FFY describente, auset arcum illum sola longi-
cudinc TIT -H N CCu NTX NL
citatem 2 MTX NI
+XIII.
I ideoque generat cancum velo-
Addatur haec relocitas ad decrementum
praedictum, ee habebitur decrementum relocitatis ex resistentia
Cola oriundum, nempe CH NTT, 2MIXNI
FXI
Proindeque
cum graritas eodem tempore in corpore cadente generet relocitatem
W
=5 Resictentia erit ad Gravitatem ut GH HI, 2NIX NL
24 2N Y
 AIVC DE =XGF
TTY + ZMXX NI 2d 2Nf
Jam pro abscisis CB, C D, C F SCrIbANEUE = 03 0, 20. PFO
Ordinata C FY scribatur P, eE prO MY Scribatur series quaelibet
D0 +R00 +50 Fecc. Ec Cerici termini omnes post primum.
nempe R 00- F503 = _EC. CrUnE NVT, ex Ordinata D I, FK, e BC
CxUNE P -90 = R00-50 =ecC, P = 20 - 4. R 00 - 8503 = eC.
ec P + 90 = R00 +503 = scc. respectire. FC quadrando disse-
rentias Ordinacarum BC =CFY _CHI -DI, ec ad quadraca pro-
deuncia addendo quadrata iplarum BC, C D, habebuntur arcuum
GTI, FTT quadrata 00 + 1900 -2OR0 F ecc, Sc 00 +00
+2ORO + ecc. Ouorum radices ovI + 
DR00
v1 +C
8