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# Title: Leibniz-Handschriften zur Mathematik LH 35, 15, 4
# Folio 10r, page id 00068206:0019
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Esto a p b
bp c
Cp
d
esc
sit a - b + c - d + e- f dec aequ y. Cu erit
erit a py a- b jy a -btcpy a - b +c - dey.  et ita porro
ergo - b + c - d,  est minun in vel - d + e - f dic vel - f ec. est quantitas nihilo minor
e
et +c - d + e- fec vel +e f etc est quantitas nihilo major.
et generaliter underunque incipias,  a  exempli causa +b - c + d - e ec. vel
FC= d + e - f etc. est quantitas nihilo major. Patio, cum enim a - b +c sit nihilo
qua major quam y. ergo addenda quantitas nihilo minor ut fiat g. additur autem
-d +e - fec. ergo haec nihilo minor adeoque contra d+ + d - e + f ete nihilo
major contra: cum a = b + c - d sit minor quam y. addi debet quantitus
nihilo major ut fiat aequ. y. Ergo +e- f et est nihilo major.
Hinc
sequitur terminum quemibet esse majorem tota serie sequente. Qui a enim
 exempli causa b - c+ d e + fec. est quantitas nihilo major erit
b major quam, c -d + e - f ec
2
Y. a +bp c = d+
2a - b py. a, -2b+c Zg. 
y= a + b  Cnd+ e etC.. Eagu Y- a +b est majus minus quam c.
a = b est majus quam y ut ita ut error sit minor quam C. Nam si
addas fit ad a - b fit quantitas justo major
sit ap2b sit praeter piora Hinc si an b sit , quam 29. erit a-bpc
nam ervor a -b eriti au majus quidem est quam y, non dum tamen duplo majus, ideo
diffecentia inter si a b st C. multo magis erit a b+ cpd.
si a - b fc. multo magis erit a = b + c - d p e. quia a - b + c - d A quam a - b
et cp e. Et ita ponro.
a-b + c semper majus quam d. quia a - b +C py. et ypd. quia posit
y p b erit y p c. et yp d. et ype. Mn.
t si sit ap2b. b7uc cg2d dgre.
erit an +c ay8d ar ibe dl.
a - 2b 1 2a- b pry.