# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068197:0005
# Permalink to this reading: https://leibnizlegible.com/page/00068197:0005?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2a
# Folio 3r, page id 00068197:0005
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068197&page=5
# Source image: https://digitale-sammlungen.gwlb.de/content/00068197/jpgs/default/00000005.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine
# Lines: 40 recognised, mean confidence 0.92
# 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.

20 Marji 1683
uno non procedit.
Generaliter quandocunque datur proprietas tan-
gentium talis ut habeatur relatio, inter
cum pluritus na suplicibus
duus in quam ingreditur una tantum sm
pum
incognilum determna
su Y
Csolbi. est prodim
plici duplicium
eb ptures una simplices. Nolabilue est problem
per ordinariam Geometriam, seu est cura
communis. Nam hujus aequationis quaerendo
differentialem, quia unicae seu simplices
carent differentiali, hinc du soli duplicis superest
differentialis, quae proinde evanescit. Et habetu
nova aequatio pura, datis autem duabus aequationibi
puris a differentiali quantitate soculum est proble
versi gratia seu si detur relatio inter AB. Ap
et AT. Sceper enim Ita enim per differen
tialem habebitur ad huc una relatio inter
AB. AP et AT.
jam pelata quaevis
njus modi relatio potest, revocari ad relatio
inter
X. y. p. ergo habitis duabus inter
X. y. p. habetur recatio inter X et y. Nota
si contingat ut sit veg. relatio Nota duplices
converti posse in simplices et contra
Nam in priore schemate circulus serat pC
secat curvam in duobus punctis, in posteriore
duo circuli PC et 2p C secant curram in uno
superest aliqua difficultas: ponamus dan relationers
inter AE et EC, (vel inter BC et PC) sunt duae
una simus ex ut AE altero duplex ut phC 2bEl
verum opus est aliquo praeterea dari, alio qui
invenietur tantum if casus punctum ermesant
differentiali, seu curva ex linch relutio emniter
axe in AE tollocato, eo crsu tanget CC. idetus