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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 1
# Folio 17r, page id 00067956:0033
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067956&page=33
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 42 lines, status machine
# Lines: 42 recognised, mean confidence 0.90
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Linea in uus cc ordinatim datae, in quas cadit linea secundum dantum
propreetates cognita non concurrunt, cum differentiando in ratio
nalibus ronnescit dariabilis sinica sit dys: dx = e. seu
L
et nn= ee fit un +ne = rec EEgo fit
2R an + edn = 0 seu Cn = - e: 2 = C  est absurdum
accuntius indagandum
dy: dx = x+ y,: a
fil n= Xty: a
n= X + y + 2xy: aa
et fiet n + n XFy : a = 2X + 27+ 4Xy: aa: fiet
En dn X+y: a dn = 0 quae quidem absurda, nisi sit dn = 0 quod sic est
A = Xay; a
 n+ dn = x+y,: a Ergo dn =0 Et cessa
diffaullis
tidendum Exampandus casus facilior
icum eadem linea est sita tantum
diversa in quam omnia puncta curvae
quae sitae incidunt sinjulus in ea maedit
recta quaedam
 recta mox Avis motae linea habet
varios silus qui concurent
inde fi linent
i non paralleli)
occurrit modue ingularis determi
nam lineas per concursum, sic
samen ut concurrentes non suit
bangentes, quia non sunt simplices
oidinatim concaraales sed bino
Ex. q sint duae linen XX et (C
ais indis infinitesime diferentes
ducantur rectae parallerae (∞. XH) 2X 2Y), 3x X)
langentum in X et in () concursus del rect
punctum Z, tangentium in 2x et in 2H) concursus
det
binea punctam 23, et ila porro quoenitur
describi  duplici motu uno evolatiore
sius XX aer ipsius puncti in filo, seu fili consractione
sis
linea
interia haberi, pl Geometrice, in fallor, cum generali modo
punctum ut determinetur