# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068196:0779
# Permalink to this reading: https://leibnizlegible.com/page/00068196:0779?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 392r, page id 00068196:0779
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=779
# Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000779.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.76
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

usuae quetgnes iere operae pretum erit:
Cerisathrngtr
Eit ergo  L= 0.
si ergo l. g p 4Z + dZ + cZa p. do = 0 et fiat n - p 
et v = p2g. erit d7 = 998. dy et Wuc qXyra dy
et fit LB b Xy E t 
9yd: sy
414.1
rex ayngtaramque qcynotun dx
ai Hic si veliaus esse orua omuca mmbra dus affe etitia habere
undem gradum ipsus y fiet g.  = eg +hr +g 1 seu eg+ hit =8
et rursus g- 1 = ngtur +r -1 seu g = mgtnt +r ex pr.
Ex praore fit T = = gle: H) ex poseriore sitt = g (1 - M,., 12 +1)
ergo sit :h = m = 1,:, nt in datis Et hoc casu potest
sit aequatio _ _ 85 + 2p ,: aa = a: A dcs fint 
solvi aequatio data
fiat ip = co et fint 8+ co d = aa+ cot= ded, pe divodatur per
fiet g Ct  de- aat g? cot deo = 0 pro
quo siidamus Z1 yet + dz - aat q v du, et sit
C - - 2 h = 2t m = - 2 n = + - 1, et fiet
Sed ita Coanescit t, nec tiet l: cet praestare
2: 2t = - 3 qua  si faciamus  esse Z et  vq spt
fint ( + 315 pet- s  esse Z et  esse vt fiet
desideratium
ex 1ee + ∞ce, des = des fiet
ck + dq + t -1 dque - +. v dx-dicidantur jam
omnia per x-. et habebimus
dZ F + jut q. M dq I. H) 13 pt. 11, - 0
et fiat e =- 2H h = 2+ m = 1- 3F n = t - 1, et
fit ex et e: R = m - 1, : n + 1, fint - 2K: 2t = - 3K: t, sed ita
rursus assunta evanescunt, e quae situm non licet efficere in datis
fit
1
 t, s     m p. t
n = -
i