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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 271r, page id 00068196:0537
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 270v); this page is its right half.
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 recognised, mean confidence 0.82
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

hrevius sic. a4 = bxx B + X x Cxdx,: ex F fdx
fiat aa = gX = + hX + K. et aequando fiet
ex + eh g + ekX + fgX dx + fhXdx + fK dx 0
ha  ope aequationum 3 et 4 tollatus dx debet
eadem opera evernescere X nempe en 4 est deL Xdo Axdh+ dK; Eget h
et rursus ex 3 est dx = ex. + etxx + eKK,: f9X + ftX + fK, et siet
=Th
termini cobendi Egc
praeter ultium 29b p.
+ fg dK
25h dh
= C du
etk
ziarum b, c e, F, 9h n n, bg Y, s tollantur omnes sed non satis labemusarbi tatiar hb
Cx
9+ f9dg X +fgdhX 3 + fk dg X + fh aK X + fKdK
dl 2de. +fh
C X dx
jam differentiatis ipsius 2 est Xdg +2GXax L. Xdh + hd x + d2
X
C d+
L9eK
Cnis. mul ponarau in aeg. 2.
rvisorem valgris seu nopatorem 
invatore ipsius act. sed si habeamus alis
aubitrariapum incidemus in novas aequades
differentiales implicatas
FK dh
sti
si resope huius
calculieo redue
ab ut inaequali
hek, ombus destrnctitus
una sola assam litera
arbitrara pervaneat, sub
latis aliis poterit nnaquaeque
aissutitia solvi per qua-
dratura
siu nunus tractentum
ea iades
ltte