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# Catalogue record: 24710 — [Hansch]: Specimen Novae Editionis Euclidis in qva demonstrationes in suas propositionum series distinctè resolvuntur...
# Incipit: Sit demonstranda prima duodecimi,
# Date: 1712-12-22
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=24710&katnr=K+6030
# Work: https://leibnizlegible.com/work/DE-611-HS-970483
# Title: LBr. 361 · Hansch
# Folios: Bl. 42 (from the shelfmark LBr 361 Bl. 42): 2 pages, canvases 85–86, page ids DE-611-HS-970483:0085 to DE-611-HS-970483:0086
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-970483&page=85
# Lines: 57 recognised on 2 of 2 pages, mean confidence 0.89
# 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.
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# 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 42r — DE-611-HS-970483:0085
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-970483/jpgs/default/00000085.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 159, 2026-09-10T04:31:07Z — 53 lines, status machine
Specimen Novac Editionis Euclidis
in qua demonstrationes in suas proposi–
tionum series distincte reholvuntur et nexus
thesium cum hypothesi magis minusve imimediatus
suis numers designatur.
Sit demonstranda prina duodecimz
Hypothesis di (a) sint polygora similia
((2) eadem que inscribantur et
Ex gr. Sint polygona ABOFSHG
et LRCEMK3
er
e
t
erit pro
um polygonorum
duplicata proportio.
liametrorum
inter se ut AFad FC.
Demonstratio resoluta
. Si potygona sunt similia
2.  () arguli OBA  RC) aequales sunt 2)
((X) anguli OBA et RC) aequales sunt (2)
B) Latera OB, BA proportionalia late-
ribus RC, L3 C2) per des 1. VI.
Vipolygonorum proportio est duplicata pro-
seortionis laterum G2) per 20. Y1.
(B) latera OB, BA, proportionalia 2l erunt Ila OAB ce RL similia per 6. YI.
Nducantat AO, JR
3. Sibiingulus C aequalis est angulo R
(B) ducantur BF, et LC
(V polygona inscribantur circulo
I. Si polygona inscribantur circulo
5. Sipangulus BFA aequalis angule LC4 6.
B) angulus FBA aequalis angule CL+ 4
6. Si omnes tres anguli cequales sunt 7
 Si (2)BA. L3: AF. dC
proportio polrgonomm est duplicata propor-
tiones dueta laterum BA, L3
adeoque angulus O aequali R. 4
anguli BF A ee LC+ nidem insistunt
araibuss
conseq. equa les sunt 6 per 2. 1
anguli CL) et FBA sunt in semicirailo 2
consez. Sunt recti 3 per 31. I
conseq. aequales per ax. 10. 4
etiam tertius BAF aequalis est tertio L7C
per cor. 32. 1.
triangula F AB et CIL sibi mutuo sunt
equiangula S
Conseq. Similia per +. VI. 9
h. c. BA. L7 AF. +C.)
etiam est duplicata proportions dia-
metrom AF, 7C. 10.

## Folio 42v — DE-611-HS-970483:0086
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-970483/jpgs/default/00000086.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 159, 2026-09-10T04:31:07Z — 4 lines, status machine
BIED WILHELM LEIBNIZ BIBLIC
DERSÄCHSISCHE LANDESBIBI
ir: LBr. 361, (86) - 42V
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