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# Title: Leibniz-Handschriften zur Mathematik LH 35, 10, 7
# Folio 2v, page id 00068160:0004
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posisa B temporis et ad. ara Vis in centriguga, _ fit est = K: Y. jam R = C g: Y: go vis veninifina
elemento seu Triangulo
a seu L. interu itu
Erc latus rectum
est ad: r: jam si vis centripeta seu gravitas sit B m  _ FK: L
seu LP: YR. seu (si L=d) a D: x fiet descensus integeree
ne seu ddr a D  a aB = aD r et fiet
de dar de dfiet seu adr = LD2. pr - 40: 1. et fiet
S ddr = ad Str.  = (B far: 12. Et Z av = L
St posito D temporis incrementum et ad area seu Triangulem  conssans
jam vis centrifuga K:Y.  Et in casu R aream aequalium est
K = ab: Y.  (posito radio Y) fiet _vis ceatrifuga a B: ro. rusus
vis centripeta seu gravitas n, sit K: L. et L= 2a.  posito L esse
latus redum fiet primarium, siet. a b: rar seu ad: 2r. jam
aar nova vis descendendi integra ova, est diffeaentia vis centripeto et centrifugae
et
ergo fiet ddr = ad: 2Y = ab. r  et fet.
dr ddr = Dai SIr: 2r= asdrir, ot fil denque summando
dr  d Bd, 1: fr = a. r. f
Et fier
D=  ar r: Sar aa et ( seu lequs = (arr. sar- au
sit ter sar-aa = e ef  v sit r = v + a: a, et
dr = 2v dv + a,: a, et fit: E tempus = (2p dv: x F,  (ae dv: v
sn tempus  = 2V + a Lv: v
eerum hoc obistat, quod
Y  radius non incipit ab infinite parvo. Ergo pro Y
scribamus  Z- h posita h distantias ambilici a vertice
et fict dze =dar et daz-dar, et aequatiuo ita stabit
1Z ddque = A a D: 2Z - 27 +s - a 0: Z.h
et
jum s dq Z hi =  S AN: r = fia 1: Y et saZ Z hi = h, - 1 : 7
et fil LF iadque  Z -  2 1B. h- a Br (pDh) +0a
seu _sta 4z. E. b: s h 2. h - a 2. h + a, = b
si sint temporam quadrata ut cubi radiorum,
D2=   t E h -Z. Ergo 1-
fiet.
si planetae ferantur in v circa jovem; irculis sintus temporum
nquadrata, ut cubi distantiarum erit et tempori sint areis ex
etuit
centro proportianalia, e  sectorm (AB. C1A(B) quadrata
ut id est radiorum CA, C) quadrato quadrala, proportionalias
ubis suis quod est abstudum. Ergo si moventur in circulis
non possunt tempora habere areis proportionalia, quod si habent, necesse est
et
ae
ut non in circulis, sed Eterpsibus ferantur. verunt si planetoer joris ince
quales, sntue
clegento