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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 248, page id 1041163592:0282
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248
PTTILOSOPHLA NAIOKALIS
De Moro ut relocitas de pars altera ut
Corrorom relocicatis quadratum, AE rC.
Sstentia cota in F uE AF quad
+. 2B AF. Jungantur D A,
D P Circulum lecantes in L.
ACT, BC exPOnatuT GraVitaS PCF
DA quadita ut sic graritas ac
relictentiam in P ut D Ag 2d
AF9 + 2B AP: _ tempuS
ascentus omnis Fucuri Cxie uE
Circuli sectOr P. DTF.
Agatur enim DV Q, 2b-
scindens se velociraris A7
momentum P 9. de Sectoris
DF T momentum DTV da-
co temporis momento respondens: e vel
lud F Q eric ue summa virium gravitatis
APg = 2B AP, id eA (per PrOB. Z2, L ib. 2. EICm.) uE D P quad.
Proinde area D P ∞ ips P Q Pre
_E areA DTV, (quxe est ad arcaM DP _ ut D T9 ad D F 9)
es ut datum D T g. Decrescit igitut alea F. D P uniformicer ad mo-
dum cemporis Fucuris per subductionem dacarum particularum D LV,
ee propterea tempori alcensus lucuri proportionalis CAt. Q. LD.
Cas. 2. Si veloci.
eaS in aCCensU COr-
DOrIS CXPONAEuT PeF
Congicudinem AF
uc prius, de relisten-
tia ponatur eAc uE
AF9 + 2B AZ, e
Si vis gravitatis mi
NOF (E quam quae Per
DAq exponi pol.
SIE; CapIaEUE B D C.
sus longitudinis, ut
(IE A B9 - BF
Gravitati proportio.
nale, Acque D F ipA
DB perpendicularis dc aequalis, et per rerticem F describatur FIY-
perbola FTV F. cujus semidiametri conjugatae sint D B et D L3
quaeque (Ccet D A in F, de DP, D Q in T X V; _ crit tempus
ascensus fucuri ue FIyperbolae sector IDF.
Nlam
1.
DAq e relttencia
F
ortionalis, CA uE D P quad