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# Piece: https://leibnizlegible.com/api/records/52809/text
# Catalogue record: 52809 — [Math. Aufz.]
# Incipit: Mirabile paradoxum. In integris, sed irrationalibus non semper produce
# Date: 1713
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=52809&katnr=23825
# Work: https://leibnizlegible.com/work/DE-611-HS-867168
# Title: L Br. 827 · Schöttel, Th.
# Folios: Bl. 55 (from the shelfmark LBr 827 Bl. 55 (hat mit Bl.56 ein Bl. gebildet)): 2 pages, canvases 109–110, page ids DE-611-HS-867168:0109 to DE-611-HS-867168:0110
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-867168&page=109
# Lines: 40 recognised on 2 of 2 pages, mean confidence 0.73
# 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 55r — DE-611-HS-867168:0109
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-867168/jpgs/default/00000109.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 79, 2026-09-07T03:33:42Z — 38 lines, status machine
Mirabile poradoxum su integris, sed irra
bronalibus non semper producentia sunt rinora
producto Exigo
C
s
in
 ube
V, b co, mimen integri
v- Zest
elle srit
ex vi
C majus qu Crit C prodictum ex
va redta
e
necesse
21b
14 
V
b
nec tamen necesse est ut C sit
major quam v+y 1b. e si 1b sit irrationalis
st
ante etsi necesse sit si b sit rationalis
Ex. Ir. sit C= 2
p
1
et c
L
et V=
4 et Z= 1 et b = 13
v Et ex C = DV = b
4 + 11, 4- 113.
Hic
1Z fiet 16 - 13
Vis est mi
Cum sit B 4- 113 minus quam l. Eut 4 + 11 55
merus quam C
1

## Folio 55v — DE-611-HS-867168:0110
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-867168/jpgs/default/00000110.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 79, 2026-09-07T03:33:42Z — 2 lines, status machine
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