# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/79876922X:0637
# Permalink to this reading: https://leibnizlegible.com/page/79876922X:0637?run=74
# Title: Erhardi Weigelii Sacrae Caesar. Maiest. ut & Com. Pal. Sultzb. Consiliarii, Supr. Artium Archit. Directoris Saxo Ien. Mathemat. PP. totius Academiae Senioris, Philosophia Mathematica (shelfmarks Leibn. Marg. 65; ZEN Leibn. Marg. 65)
# Folio 145, page id 79876922X:0637
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=79876922X&page=637
# Source image: https://digitale-sammlungen.gwlb.de/content/79876922X/jpgs/default/00000637.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 47 lines, status machine
# Lines: 47 recognised, mean confidence 0.79
# 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.

uli, ui
oseit
BatI
3De
m se
Orti
ACP.
uniS
TMI.
sre.
plum
Eter
L 
dab.
150
LALL THIUM CIONBTOLIRATORUM.
43
Productum V.
Situa triangula ABC. DFF. Tunt
in duplicata ratione laterum ho.
nologorum. BC. LF.
Demonstratio.
FIaC in Fiz. 53. BC. EF:: FF. BC.
cum AB. DE:: BC. FF. per Prod. 2. liujus.
BC. FF:: FF. BCT. _ LlUS B-F. pertirp.
erit A ABC -DFF. per Subd. 2. PrOd. 3. HU-
IuS. SedA ABC. ABG:: BC. BC. Sed
BC. EF:: FF. BC. uri dictum. ErgO
BC BC
n
bis. per Dictam. L. huj. Fr80a.
1l
BC EF
ABC ABC BC
 1. C. - --- bi8. PerDictam. 2. huI.
ABCT DFF EF.
d F. D.
Condictamen.
Si plures recta proportionales fuerint; ut
est prima ad tertiam; ita Trianculum
super prima descriptum ad Trianculum
super secunda. Et, ut prima ad quar-
tam ita Trianculum super prima de-
Ceriptum ad Triangulum super secunaa
cyc.
005
Idem