# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/898203430:0040
# Permalink to this reading: https://leibnizlegible.com/page/898203430:0040?run=74
# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 12, page id 898203430:0040
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=40
# Source image: https://digitale-sammlungen.gwlb.de/content/898203430/jpgs/default/00000040.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 recognised, mean confidence 0.91
# 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.

VINCENTII VINTAM PRO LOCIS;
drata GF, GM, CSi ergO dE reCtangUIA N F Y, A D C, ORV sUNEV
ipla quaarata C F, CM, C S. Ouod erat demostrandum.
P R O P OSTTTO 1Z.
PCirculo. Onadrata ramorum ab orieine inaxis vertice
 Sunt inter se et sermenta axis inter ordinatas ex terminis
ramorum, (5 ipsum verticem intercepta.
Sto Circuli A BC axis BC, vertex B, qui ramorum B C, bD, D 
Lponatur oriso, ec ex corum cerminis A D sinc ad axem semiordinatx AL.
D L. Dico quacrata ramorum BC, BD, B
A esse incer le ve segmenca asis B C, B F,
BF.
HToc autem constat ex Elementis; quadrata
enim BD, B A _c. aequalia suNE reCTAN
gulis C BF, C B F. ucc. Tingula singulis.
se quadratum B C rectangulo C B C, que
omnia cum eandem habeane alcicudinem
CB, inter se sunt vebases BC, BD, B A. etc.
Duoderatdec.
PR OPOSTTI X
TConi-sectionem, vel Circulum. ABC. Cd CabM Pat
cto P duae rectae lineae F A, FC contineant ad A, C, C9
ex ipso tancentium occursu F. sit alia qu’aecunque recta
Coni. sectionem, aut Circulum secans in punctis B,
F, rectam vero AC tactuum puncta juncentem secet
in L; contrat iam, ex 37 terti Conicorum, secantem F F
dinisam esse in B, L. in ratione Barmonica ita vt FF ad
EB sit Et F F ad L. B. Dico amplius, quod si scementum
huiusmodi secantis inter tangentium occursum E, (5 ta-
ctusiuncentem AC interceptum, nempe, PL media
harmonica bisecetur in NT, tres MI F, MI L, MI B esse
inter se in eadem continua ratione ceometrica, (s in ea in
qua est FC, ad EB, vel FL, ad LB.
Item dico FL. ad L. B esse vt E. AI, ad ML B.
Ouum