# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00067970:0074
# Permalink to this reading: https://leibnizlegible.com/page/00067970:0074?run=39
# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 11
# Folio 37v, page id 00067970:0074
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 36r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067970&page=74
# Source image: https://digitale-sammlungen.gwlb.de/content/00067970/jpgs/default/00000074.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 30 lines, status machine
# Lines: 30 recognised, mean confidence 0.93
# 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.

s
quae sunf aequidistantes
Duae lineae parallelae sunt quarum minimae sunt
vales ic
ea interqua, mminae ) aequidistantes locum habet Haec definitio locum
habere potest in rectis, circulis parabolis imo alis
Nemorabile Freorema
lners omnibus
raudocumque minimae sunt Cagudistntes unc lineae e
duae quaecunque lincae para elae si duarum rectarum
parallelarum secuntum definitionem praecedentem) una
rectae cuidam ad angulos rectos oscurit, tunc altera
eidem etiam ad angulos recto occurret
arrabile papidoxum linea prarabolae varalleta
vel ellipsi non est parabbla oel Ellipsis sed alterius
generis
adem sunt quae sibi ivicem substitui possunt
salva veritate. Itaqueue quae eidem eaddem inter se
eadem Nam si A substitur potest in locum B poterit
lime
et substitur in locum CH, qua
Ex hac definitione omnia demonsirantur axpomata Euclidis
Maio Minus est quod alterius parti aequale est. Hinc
pars minor toto. Nam grars minor se ipsa aequalis sibi
ipsi parti Csibi ipsi alterius (totius) Ergo minor
Recta linea est quae duobus junctis per duo puncta crobus
punctis determinatur ad quae per quae transi
producta si opus
duobus punctis per quae honsit
producta siopus tronsit, delemumatur.