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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 26r, page id 00068199:0051
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068199&page=51
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine
# Lines: 43 recognised, mean confidence 0.85
# 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.

si sit summunda uvdx. quaeratur ee
summatux ipsius ydx ita ut ipsae D) sint ad cd
ut y ad constantem, et super
et ex C in condrrectricem ipsi
BC ordinalae sumnatrici
paraillelam, agatur et
coordinata, in qua sumatur
FE aequalis ipsi v. patet
ada EFFE)E esse Cyvax
seu quaertitur quadratura curvae E(E)
Cuju cr abscissa AH posita V, situbs
absea ordinata HE, sit ydx = e
sit v =  Ya -x et y = t fiet Sydx=
et1
X Cx = X.
12
e+
2
X. du = X = = X Nx E
Z RIX = C
A
il seu 4 X= ee
seu v - (9: 4) et
2 Ergt V= Va - 2 ee dedatur ex axxx
Sit Resumamus quaeritur qvax
sit y = tax et sit dZ = ydx: a
fenaz = Pydx. Ergo asudue = yvax
ad exempla.
Hoc generale, veniamum
AB X. BC, y AH, W H
sit Y= sax et v = b X et sbit fyvax tarx
et erit (qud = Ax a de 8
sit y= sax et v= sab -  ergo quax=
atrbx  xx db 
a Sbx -XX ax
Sydx = saxdx = = Tax=
E seu  za
ergo =X = ZZa, quae est, quadratex parabolae. C
R ruisus v- sab -ax seu v0 = ab = aX
seu X = ab - vv = (3) AVaZZ et v = lab- 3 a
Vab - ZsazZ dZ =atr bx- xx dx LF
ergo edque  seu (.
Hin et summam pe et ab vi do ab vo sab. vo diu ut onstal