# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/37415/text
# Catalogue record: 37415 — Ozanam für Leibniz
# Incipit: Tria Problemata palam proposita à R.P. de Billy, quae ego solvi. 1. In
# Date: 1673-03
# Sender: Ozanam — Addressee: Leibniz
# Akademie-Ausgabe: AA III,1 N. 008
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=37415&katnr=Cc2+781
# AA III,1: its series at leibnizedition.de: https://www.leibnizedition.de/de/reihen/reihe-iii/
# Work: https://leibnizlegible.com/work/00068207
# Title: Leibniz-Handschriften zur Mathematik LH 35, 15, 5
# Folios: Bl. 69 (from the shelfmark LH 35, 15, 5 Bl. 69): 2 pages, canvases 137–138, page ids 00068207:0137 to 00068207:0138
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068207&page=137
# Lines: 46 recognised on 2 of 2 pages, mean confidence 0.92
# 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 69r — 00068207:0137
# Source image: https://digitale-sammlungen.gwlb.de/content/00068207/jpgs/default/00000137.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
Sria Problemata palam proposita a
R. 8. DcBilly, quae ego soluci.
1. Invenire triangulum rectangulum diversae spe-
ciei a primo omnium triangulorum rectane ulorum
31 4, 5, in quo area detracta lateri minori cirea
rectum, a hypotenusae, sixillatim, relinquat qua
duatos.
Invenire triangulum rectans ilum, in quo
dupla area dempta fengulis lateribus, relin-
quat quadratos.
Innenre infinitres duo triangula rectangula
diversae speciem ita t summa perimetrorum
summa
hypotenusarum, quodlibet majus latus
circa rectum trianguli vnius, additum minimo
lareri alterius,
tas
d.
ferentes.
Faciant sexillatim quaruor quadra-
Qouatuor
Problemata quae palam pro-
posui, ee quorum nemo hactenus dedit
Solutionem.
Invenire infinita triangula rectangula diverse
Specier, in quorum sinoulis area detracta lareri
minor circa rectum, a hyporenusae, figillatim, relin-
quat quadrato.
Onrienire infinita triangula rectangula diversae
Speciei, in quorum singulis area detracta lateri
majori circa rectum, e hypotenusae, sigillatim,
relinquat quadratos.
Onvenire trianculum rectangulum, in qua
clarerum
rentia quadratorum circa rectum detracta
eorum summae, d differentiae, Pgillatimu
auadraros.
15
9

## Folio 69v — 00068207:0138
# Source image: https://digitale-sammlungen.gwlb.de/content/00068207/jpgs/default/00000138.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 7 lines, status machine
Onucenire tres numeros, vi summa duorem
quorumlibet sit quadratus, differentia duorum
quoramlibet sit etiam quadratus.
omnia per speciosam quaevo.
deanam lese au faux bours
Saint Germain rue de Seme
a l’Ange, chez mu