# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068198:0360
# Permalink to this reading: https://leibnizlegible.com/page/00068198:0360?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 180v, page id 00068198:0360
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068198&page=360
# Source image: https://digitale-sammlungen.gwlb.de/content/00068198/jpgs/default/00000360.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 66 lines, status machine
# Lines: 66 recognised, mean confidence 0.73
# 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.

. =y v. logX = logys fiet _ v. de + dsv:) logX = dy. y
pr = (y) r= logB = loge) fit dort Fdlr.) logB = dy) ). et
pt = (yD, t logr = log(BB. t dx + dt logr = de): (19). unde
d(rt) = r, t dr + dt logr. et d(v) = v  r (dv + logv (t dy rdt log1)
Ergo d(X
= v. (18 + HogX. r= (a + logv (+dr + dt logr))) hoc oppopt
sumhari
C sit ergo aequalo aequationi _ seu 0. seu aequatio.
et et = 2 et Gt logr = co
et divisas aeq. per v:. fir l dZ + Z A (de +  dee) = 0 et divisis omnibus per 214
et liat _ log X = RG et logv = V
fit d + d + deo =0 quae aequatio conferatur huic vydx + xdx - dus
dit = d +dco
A
fiet deo = = du seu co= Fty = et + = fLy, : logY
et  A=
54ys: logY a Xxdg = d1: ( seu log 1-  Xx
.2
seu 4 = Bg B H
sit dx = d d: pfias
B  yydx = d3∞ p seu (es. Z dX = 18. 9
p
gy-  
sty,loge =y
cautone et siet yn =  soc
et feret Hogis
quod non licet. sed si fuisset yyaa + Ax dx - Ey =0 res successisset
sed in fine hanemus nam evanescitra
Ergo vu
p
quid ergo si dx + Xx dx = dy 2d
2
f+
ftG logr
dis: A P = XXdx: yy sit d: 8 = XX ax
do-d p  dy: yy 33 seu log4Z Ay seu 6 1.Y
X +  + f = log 2p + c
et fint yy = A4 = _ .  gestum
quod non licet, quia de
et fiet 1 = yy: r et log  = 2 l0gy - F logr, ubi
Flogr
fiet X + = +f = 2logy (= t logr + tlogr
19.4
de x + dv + d (Flogr
eY
et in
e
1+
evanescit V et pt, temra est
seu do d
pursus
struuntur quaesitae
li
28 + cl y. Y
2y.
ex + X  ∞+ dd
e XFF +L): = log i + Flogr
n
edx  pt  et
c
d
de
eax sised ut video
e
d
non minu si unlhine