# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068199:0157
# Permalink to this reading: https://leibnizlegible.com/page/00068199:0157?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 79r, page id 00068199:0157
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068199&page=157
# Source image: https://digitale-sammlungen.gwlb.de/content/00068199/jpgs/default/00000157.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine
# Lines: 45 recognised, mean confidence 0.83
# 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.

dy: dx = t: a
de
ubi  ponitur darit
utcunque ex y et X eta. porre faciamus
(2) +
dy: dx =  bie ec + rC+ EF
duia
cetare :ca posito e esse constantem
l
simiconstantem, ret fe r= ) y. X. a
f=(5) fixa fiet aequano ad curvam
tunc eri aeg. 1. et 3fiet aequatio ad
curvam t: d = (((6t) fectare: a cui
curva quaesita aequationis 1. occurret
ibi ubi dy: dx fec tare: a. sed hae
curva infinitae sunt, seu alia atque aliae
itaque c est variabilis de curva in curva; constans
in curva.
Quod si jam efficere posserum ut Curvaepstae
concurrerdut in ipsa curva quaesita, aberi
ipsa facile posset nempe aq.6. diferen
dando spundum C
seu aequatio
lt
aat  fee tare bferentiandut fiet
seu
2C + ar =0 seu e = -ar: 25 unde ex B fil
t 2Rarr: 2f + faarr: qf seute
seu aet 2t saf.
2faarr+ faarr
 seu
(+ = pr. un quam differentiando
fiet tdf + fat = - d quae coincidere debecet ipsi
s
rar. Et quia in F est y
scaCtur d5 +fdt
qe 10 et 1E tollatur y daturque adeo et at
ae Ope aeq. 1o et c2 toletur et 1
tollanitur y et du, Ergo superest lantum X et dx
fiat jam f estans quod licet, p
inventeter vessolat eoedrabera lade
et mode adtermieant curveatu quata
cebtitum verum ita labebitur non
nec quicquolum  sed ar sed et
lucramul