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# Title: Leibniz-Handschriften zur Mathematik LH 35, 9, 23
# Folio 5r, page id 00068148:0009
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Cum corpus minus incurrit in majus certum est minus repelli
Videamue saltem an hoc conciliari possit cum via cextri gravi
eatis eadem manente. Nam quando corpus inajus-
incurrit in minus eadem manet via centri gravitatis.
A (A) in via celeritas incursus vocetur se. aequal. A
A(A) aequ. AR. aequ; A(B) aequ. A(C) aegu. e.
AC q b, et AC + BCY 8. ergo AC ⊓ e - BC
BC et rursus AC aequ. b BC. ergo s - BC p  BC
1+ 4
a + b
a + b
ergo et C(C) aequ.  e. est enim (BC aespe (C) C. 
(A) ((B) distantia sit  d patet fore . B)CC) aqut
et ((AD ((C) aequ. 
a + b
1+B
Rorro BD(C) + CD (C) aequ. B) (C)
et (B)) _(C) hoc loco (B) (B) seu p: ergo y aaequ. a d + K
a + 
seu a d + a +p e est autem a Y d aequ y +E
a + b
et aE + by aequ ae Ex his jam eruendum
quod quaeritur aequationes sunt d aequ. y + E
seu y aequ. a A(B)
a + b
a +b
denique aE + by aequ. ae
e
tollenda primum d fic: 3 aegu. X E + 2, e seu
a+
a+b
fiet (ay) + byo aequ (ay) + aE + ae su fiet:
by - AE aequ. ae. at rursus by + aE aequ. ae
a +b
ergo (by - aE aqu (b9) + aE, seu 2a210. quod 
est absurdum. E
Et vero ut rem carculo exutam in lineis demonstrare
majus operae pretium erit. Si via centri gravitatis
in easdem procedit partes, seu si (() (CD aequ. () C, utique
erit (B) (B) major quam (C) AC) Et si () repellitur erit ( )
sed fingatur esse aequalis erit, utique vis iptius B corpora B nove
acquisita  yb, serit  a be + m. et seu major
quam b in (4. (C) vel C (1)
a +
vis autum corporis al qua
resellitur sit aliqua aE vantulaunque utrque paet
utique quia vis non augetur, debet, yb +aE aequari ac
id est ae arba + m, + aE debet aequari ac
a, aea jam CD(A) aegu. 4) V m
seu m + a EM per X l atb 1 a+ b
n
andi si auferatur AD (C) seu = e. fiet E.
nY2a p
b a +b 
Ergo
qua
b
a +b
abe Auqu. E, at idem E aequ.
+  e
seu
I
abp a + 
ae tab+ b
Ergo
at b atb
a e - m
a+b
i ab+ nab + m
m’a + m ab + m 
ab, a+ b
In quibus nullum video absandum, nam fiet:
As
1eo
e li C
alB e Brraro S