# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00067964:0024
# Permalink to this reading: https://leibnizlegible.com/page/00067964:0024?run=39
# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 5
# Folio 12v, page id 00067964:0024
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 17r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067964&page=24
# Source image: https://digitale-sammlungen.gwlb.de/content/00067964/jpgs/default/00000024.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 65 lines, status machine
# Lines: 65 recognised, mean confidence 0.90
# 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.

continuotas progredis um
si punctum in plano ono eodem silu servalo
ad C, percurrit omnia puncta similiter sita ad c
et redit tandem ad locum primu
immediat no
progressus est motus continue ad nova, seu non ad
la quae proximie ante. itaque ui e conc stare
pl dum motu redeunta in se
quod si non redit in se ipsum  motus quem dixi
linea eit infinita magnitudinis. Quod ostendemus
id fieri non posse.
Et quomodo ostendemus oia puncta his comprehendi.
An ergo potius rectu difinienda a similitudine
Si rectam definiamus a determinatione potemus assumere
cppnficiem
planum esse liciumo determinatam ex extremis, et rectam
esse lineam determinatam ex extromis
unde recta incidente
alinum extromus rectae incidentibus nan planum nopsa incidet
An incipirum: Recta est linea deter minatu ex ex tremis
haecentus super se utique Hinc moveri pt super se, suam et pars
determinata ex extremis. Hinc continuari pt in insimitum. Hinc etiam
recta rectae similis.
non in eadem recta
Hinc et planum determinatur ex tribus punctis
An abstrahendo ab optremis dicemus rectam
esse locum punctorum determinatamex duobus Hoc oportet esse
trmi sit planum determinalum per dua rectas, (quod idrum pers
datu A. B. C. V datur A. B. V
et v. sed data
A. B. Y, et datis A, B, datur Y. Ergo data Y V A. B. V datur Y. V
similiter data A. B. C. V datur B. C. V. sed data B. C.
et datis BxC, datur Z ex hyp. Ergo dat. B. C. V datur Z. V
erY
Ergo datur data A. B. C. V, datur
Et datis
data
date
moir  
A,B, C, dantur Y.
A.
B C. V
et
jam dati
1. 7. V.
sed
dat
et datis
l.Z. V et datis Y y datur V. Ergo
datis A, B, C vatur V. Quod erat dem.
seu in situs unicorum. Hini et determinatur ex extramis Hinc et (nve V. Y. Z ~ (VeY
duae rectis terminate similes. Hnc planum cujus extrema congmenti
Na puncta.
Nempen relatione
pl A. RY
et BC. Z
2
quia ergo haec demonstrata videntur difficilia sine racta praesuppo
Sita
in Pagum.
Aex hyp
datis
2
eA. B. Y
et B. C. L