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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 236, page id 1041163592:0270
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236
PHILOSOPMIE NATORALIS
De Moro termini subsequentes eradene intinite minores tertio, ideoque neg
Conronon ligi pottunE. Terminus quareus decerminat variationem curra-
cura, quincus rariationem rariationis, ec sic deinceps. Inde obi-
Ter PatCE usus non contemmendus harum Scrierum in solutione
Problematum quae pendent a cangentibus de curvatura curvarum.
Conteratur jam scries c-a0 nnoo anno
20
207
=ec, cum seric
P -90 =R 00 =50 = ec. ee perinde prO P, O, R _ S SCribAtUF
e3
a
e
W W
203 de
ann
25 de pro Vi + Scribatur vi + seu =, de
prodibit Medii densicas uE =, hoc CAt, (Ob datam n,) ut =, sCu
AC
Et
BC
 id eAt, uc tangentis longitudo illa FYZ quae ad semidiame.
erum AF ipA F O normalicer insiltencem terminatur: ex resisten-
cia erit ad gravitatem ut 3a ad 2n, id ost, ut 3 AC ad Circuli
diametrum P O: velocitas autem erie uE VCFI. Ouare A COrpUS
jucta cum relocitate secundum lineam ipsi F  parallelam exeat
de loco F, et Medii densicas in singulis locis  st ut longi-
tudo cangentis NTT, ec resistentia etiam in loco aliquo FY RF 2d
vim graricatis ut 3 C ad F9, corpus illud describet Circuli
quadrantem PHIG. 9. F.. I.
AF S corpus idem de loco P, secundum lineam ipA F O per
pendicularem cgrederetur, ec in arcu semicirculi F F moveri
inciperet, sumenda esset AC seu a ad contrarias partes centri A,
et propterea signum ejus mutandum eNet ec scribendum a pro
+ a. Duo pacto prodiret Medii densitas ut -. Negatiram
aurem densitatem, hoc CA, quae motus corporum accelexat, N2-
cura non admittit: ec propterea naturaliter heri non potest, ut
corpus ascendendo a F describat Circuli quadrantem P f. Ad
hunc eRectum deberet corpus a Medio impellente accelerari, non
a resistence impediri.
Fxempl. 2. Sie linea P F FF Q Parabola, axem habens AF hO-
rizonei P Q perpendicularem, ex requiratur Medii densitas quae
Faciat ue Projectile in ipla mOreatuE.
Ex natura Parabolae, rectangulum P D e aequale est rectan-
sulo sub ordinata D L de recta aliqua data: hOC eA, AI dicanEUE
recta