# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/8746/text
# Catalogue record: 8746 — [Aufz. zu Grundlagen der Geometrie]
# Incipit: Cum nuper examinarem demonstrationes Axiomatum circa rectam qvas Clavi
# Date: 1692
# Akademie-Ausgabe: AA VII (assigned, not yet published)
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=8746&katnr=40939
# Work: https://leibnizlegible.com/work/00067976
# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 14
# Folios: Bl. 68r (from the shelfmark LH 35, 1, 14 Bl. 68r° (zs. mit Bl.70 1 Folioseite)): 1 page, canvas 135, page ids 00067976:0135 to 00067976:0135
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067976&page=135
# Lines: 39 recognised on 1 of 1 pages, mean confidence 0.82
# Catalogue: Leibniz-Katalog / Arbeitskatalog der Leibniz-Edition (https://leibniz-katalog.bbaw.de/), ed. Arbeitsstelle Potsdam I der Berlin-Brandenburgischen Akademie der Wissenschaften, CC BY 4.0.
# 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, page by page: a "## Folio <label> — <page id>" line ("## Canvas <n>" where no folio label is recorded), "# " lines naming its source image and model, then its recognised lines in reading order, one per line.

## Folio 68r — 00067976:0135
# Source image: https://digitale-sammlungen.gwlb.de/content/00067976/jpgs/default/00000135.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 39 lines, status machine
um nupl
exlaminarem Demonstrationes
xhibet (ex proclo praesertim
nempe quod tu
et 
ox
crca rectam
omatum quas lavius
uo 
ectae non habeant seguentum communt quod fecto
ibi vn uno puncto occussentes
si producantur se scant, saro
s
et
enique quod dua recta spatium non clandant everdi omnes supponero
hanc veritatem quod recta per centrum ducta circulum secet in duas partes
congruentes. Virit hoc quidem Euclides subas vel alius quispiam sub
essus
C
se Mirabar qui posset
demonstrationem
At
cum nullam attulissec
andem comperi facite assumsisse quod
s
ecta ad utramque plani quod secat partem se habeat 
lnodo, in quo udiq
alteri conive
x1t
definifioni diametri insemit. Sed video tamen
Maletem Mplesium Si procto credimus
aliquam atuli
recta
ncfintionem circuli
perta curva quae sese ser
e
obvertit
eite
ni concavitate