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# Title: Leibniz-Handschriften zur Mathematik LH 35, 9, 7
# Folio 22v, page id 00068131:0026
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Generaliter
seu Jonntitas progressus major est in easdem partes
lendit na centro gravitatis. Sis a
Ex 1. sit
Ex 2 fit
 avv+ bgu= a XX + l
divid. 3 per 4. fit
Cx 5
2
av +by = ax
a vv- XX
a v-X
vex
v- y
propressus
3
b 27- 9y
+
= b 2-y
(5
0
y+
L
2Z
ZEX.
per reg. 3
par reg. 2
comis
quodcante ictum
in caidem partes
fendit cutu centro
rom vircamus
qalterum
Est Reg. 1.
Corponis a celeritsapte ictum V pest ictum X
Progressus cum.) corporis a aute ictum V post X
centro gravi. 5
a
quod si quod corpus moveatur in partes centro gra-
tatis
vitatis; vel praevalenti directioni ontrarias ejus
quidem
litera explicanda est per numerum ceter graduum
celeritatio, sed praefixo signo
sit jam a e 
videamus jam an super idem corpus eodem
modo ante genisum motum, diveria idem efficere
possint nonantur contenti autem simus aequs. 4 et 5
cum caeterae inde sequantur et ponamus dari b, y, Z
quaeri a et v eaque diversis modis. per ag.5
est v = y+7 - X, et per 4 est v = b: a Z- y + X
per 7et8 sit b: a y+Z- 2X, : Z-y. Ergo fiet:
a  b y-g: g- 2X+Z. Unde patet infinitis modis rem
posse praestari prout variatur sec vniamus ad exemplum.
1 fiet  v = y + 1- Y a = 4. 1-y. 9- xt1
(12)
11
12
si ponamus XL0 fiet v 9+1 et q 4. 1-y: 11y unde
sit b-4. Z=
si sumetur y= 1.2 tt et X = 0 tiet vB. 2, et a= 4: 3
B
itar corpus 413 celeritate 3. 2 et corp. 4 celer. 1. 2 tendant in catdem
pertes, tncu enst ccursom corpus 4:7 quiescet et a verget.
celericate 1 Rursus retentis aega 1t 12. 18 sit X -  1.2 fiet v=
et a=4. Hoc est si corpus 4 celeritate 1I, et corpus 4 celeritate 1.2 ten-
dunt in ensoen partes, post concursum compus proa illud perget celeritati
1.2, hoc celeritate ut 1. E ∞ quo exem