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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 234, page id 1041163592:0268
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2.34
PFILOSOPMLE NATDRALIS
ConvonbY2 +C+
DR00
C
CunE aECuS GFY ec HI. Prxeterca li ab
Ordinata C F subducatur semisumma Ordinatarum BC ac DP
ec ab Ordinata D I Subdueatur Pemisumma Ordinatarum C IV Sc
F KL, manebUnE arcUUM GY _E HIN TaSIEEX R00 _E R00 + 350.
Hc hxe sunt lincolis L FY ec NY proportionales, adeoque in du-
plicata ratione temporum infinice parrorum T e F, e inde ratio
si est qR + 350
seu R + 250. 8
=TTT + 2MEXNL
substiuendo ipsorum =, GTI, HIP, MI et NY valores jam in-
ventos, cradit
500
2R VY+ OO. EE CUM 2 NY SIE 2R00, RC.
Sistentia jam erit ad Gravitatem ut 3500
id eAt, ut 35VI FOO ad +R R.
2R
YE +O ad 2R00,
Velocitas autem ca est quacum corpus de loco quoris HI, Se-
cundum tangentem HIN corediens, in Parabola diametrum FC
de lacus rectum YN
moveri potest.
 seu F habentes deinceps in racuo
FE relistentia est ut Medii densitas ec quadratum relociratis
conjunctim, ec propterea Medii densitas cM ut relictentia directe
ex quadratum relocitatis inverse, id est, ux 38Y I +  directe
B
1 + 
inverte, hoc cst, uF
4.R R
RYI +95. Q. F L.
Corol. T. Si TanGCnS FY N producatur utrinque dONCC OCCUTTAE
Ordinatae cuilibet AF in T: erie
qC aequalis YI = O, adco-
que in suverioribus pro v1. FOO scribi potest. Oua ratione
Relictentia exit ad GraVIEaTeM HE 3SZ HIF ad 4RR X AC Vclo-
IC VR e Medii denScaS CxIE Ut
CitaS CrIE DE =
SX AC
RXHZ
Corol. 2. EE hinc, Si Curra linea P FFP Q detiniatur per rela-
tionem inter balem scu abscillam AC. ec ordinatim applicatam
CII.
DE MOTV