# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/898203430:0236
# Permalink to this reading: https://leibnizlegible.com/page/898203430:0236?run=74
# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 44, page id 898203430:0236
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=236
# Source image: https://digitale-sammlungen.gwlb.de/content/898203430/jpgs/default/00000236.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine
# Lines: 32 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.

VINCENTH VIVIANT DE LOCIS SOLIDIS
cum ipsorum latera sine aequalia, ergo de quadratum AL, vel duo simul
AI, TI. aqualia suNE quadrato BM, sive rectangulo A BI, ob semicireu.
lum; rectangulum isiiue A B F suPCrat quadratm AF quadrato IL: hOC
es TE porest disterentiam inter rectangutum ABI, _ quadratum LA: de
sic de lingulis similibus ordinatis _c. Ouaproprer concauum peripherie
CLF est Locus planus propolua Ordinationis. Ouod Crat _C.
C EMMA. VII PROP. LXVI.
I recta AB secta fuerit in C. secundum extremam.
DCo mediam rationem, ita et AC. sit sermentum ma
ius, cui in directum adyciatur AD aequalis ac presato
datae AB cum maiori sermento AC, minus vero C B
sectum sit oicunque in P. Dico rectancula ABF,
D F C. simul aequalia esse quadraro sermenti AF.
rum enim sic AD aequalis aGGrCSAtO ex AB cum A C, addita com.
IUNi AF, eric D E aequalis cribus CimuI A B, AF, AC, e Cumpa
CF communi alcicudine, eric vnicum rectangulum DF C aequale
cribus, nempe (ub AB, CF; Tub AF, C F, de sub AC, C F: si his igi-
tur commune addatur rectanoulum
ABF, eric rectangulum A B R cum
DEC aequale quatuor simul, nempe
Tub AB, BE; sub AB, C Ei lub A F.
F. C; de lub AC, CE: Led duo sub AB.
BE, de lub AB, C F constiuu re-
ctangulum ABC, hoc est quadratum
AC ips aequale, ex Hypocheh: ergo, illis in hoc permuracis erie ilem res
ctangulum AB F. cum D F. C aequale quadrato AC cum rectangulis sub
AF, E.C, de sub AC, C E; Sed haec omniu nempe quadratum AC cum
rectangulis lub AE, P. C, d Tub AC, C P aequantur quadrato vnico AE.
ergo eadem simul rectangula ABF, D F. C, quadraco AF. lune aquala.
Duod erac demonctrandum.
t