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# Title: Leibniz-Handschriften zur Philosophie LH 4, 5, 10
# Folio 51v, page id 00069349:0102
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in alia mulbiplicatione quacunque, ut facice
patet, nam pro si
per. X- C.
-b muti multiplicanda
utique poterimus facere a aequ 
e + X si sit daplo major quam X seposite  quia
A est major quam X. adeoque et major quam b posito X aequ. b)
et fier
e. + X - b multiplicenda per
et necessario fiet productum 
ex = eC + XV b X = CX + b
C ceX
X = C.
debe
nim fit enim utiue ex  - ec + X = b X - cA 4. O.
quod tantundem esse debet quod ex - ec (quia X - b aequ. 0.
ergo et C+ X - b in X - c idem quod C in X - C.) Ergo
+ = bX
es
C
X +
oste
D. aequ. 0. ergo ut supra D aequ. + bc
idem fieris
Item ex = Cc +
dBa ets. & faiset retenta nec perX
bbape etx
Nimirum ostendimus ex - ec + += bX 2 cX + bc essae  aequ. d - b in X = C
a - b in a aequex
aequ d. b in X -c. ut ostendimus.
e
et
 Id - b in C aequis
d - b in X aequ. eX +X = bX seb valorem ipsius d))
jam
dc
-
C
Est autem id est (quia daego e+ X) d- b in -c aequ.
-ec - XC. O. Ergo d b in XC aequ. ex-
Ergo summa collecta eX +. X - bX - eC = XC. O.
superiori:
aequale Cex = eC + X. - b X = CX + b c.
utriaque isdem fiet O aequ. + bc.
Ergo ablatis
Breviorem hanc
demonstrationem reddidissem si vacasset. facile etiam
patet idem fore et si adhibuissemus non X = c sed aliam
quamvis ut fio
f
=