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# Title: Synopsis Geometrica (shelfmarks Leibn. Marg. 7,1; ZEN Leibn. Marg. 7,1)
# Folio 127, page id 797939695:0147
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797939695&page=147
# Source image: https://digitale-sammlungen.gwlb.de/content/797939695/jpgs/default/00000147.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 56 lines, status machine
# Lines: 56 recognised, mean confidence 0.81
# 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.

U YV
quadron
lub Y
Quia con
Cuprale
De bis es
gulumt
L d 
anE recti
cireuli
aAgula
MII CI
CentrII
quia 
LaHElim
sulosi
est aest
Dedia p
ula lub.
rectum.
BE, d
ex rect
ED, d
Quadi
F.i81
Tum
Geomerrica.
Tumma rectanguli A E C, _ quadpari F
B est aequalis lummae rectanguli CFF X
QUadTaEOKUIM BDED, Ceu quadrari B FS
igitur duo rectangula C E F A F O lune
aequalia pari modo duo CFF, LER,
cum sinc aequalia rnicertio, nimirum A
L 6.
Prop.
Si d puncto extra circulum Y, duca-
tur tangens YT, d quaelibet alia lc-
cans circulum V SR, _ peripheriam in
IR, rectangulum (ub YR, Y I aequa-
le est quadraro T V; GenimR Y cran(IE
per cenerum S, rectangulum (ubR X I
cum quadraco SI, velS P adaequat qua-
dracum SX, et hoc adaequat quadrata
ST, TV; ablatoigitur quadraco ST,
rectat quadratum T Y aequale rectangu
loRYI. Si rero non taanleat per centrii
S, ve Y cric rectangulum OVV cum
quadrato Z V, aequale quadracoZ X3
quod cum quadrato S Z cA aequale qua-
drato S T; igitur quadracum S X cst x.
i no
qualehinc quadraris SI. L L. inde Z5, L
V. de Trigitur rectagntu OYV, cuqua-
draris Z. V, 25, vel SV vel ST, ett aequale
quadraris ST, FP isicur ablaris hinc inu
de