# Leibniz Legible — https://leibnizlegible.com
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# Title: Synopsis Geometrica (shelfmarks Leibn. Marg. 7,1; ZEN Leibn. Marg. 7,1)
# Folio 107, page id 797939695:0127
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797939695&page=127
# Source image: https://digitale-sammlungen.gwlb.de/content/797939695/jpgs/default/00000127.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine
# Lines: 50 recognised, mean confidence 0.82
# 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.

ied CH
dicieur,
Eque t
a A, P,
ciplices
Quarte
2Hi s
adH.
Les inC
Guais.
FUIFI
EmuII.
3I
SIEI
15Cil
ipsit
D.
r6, 8
IBuH
able
Geometrica.
ilta detinirione ominia demonstrari pol
Cune; unde licet opeima CE, quia camen
Paulo incricatior est, vel oblcurior, ope-
ra precium elle putaui, abstinere ab illao
XII. Illam camen sic Facile demon-
sramus: sE C ad l, VE L ad Niacproinde
6 ad L; ve Lad N; sint aeque mulcipli-
ces CL, nimirum H.M. cum aque mulci-
plices I Nmimirum R, O, Cintiltae qua-
cuOr C, L, FI, M, cum ba I,NI, R,O, VE
Cad L, ita FI ad M; irem ve l ad N, iCa R
ad O; led re C adt L, ica L ad N; ergO ve
Had Mica IE ad O; ergo GH est maior
M I est maior O; i minor, minor; lI X
Qualisi aequalis.
XIII. Tocum est ad EOTUM, VE PAES
ad parrem ciuldem denominationis, et
vicissim; vnde li corum est ad eorum, ve
ablacum ad ablatum, ita eric residuum
ad reliduum; _ _ A ad B, Ve C ad D, exit
A ad differenciam AB, re C ad differen-
riam C D; cuncta haec ex detinicionibus,
et ariomatis manifelte lequuntur. Ilis
porro praemictis omnes propositiones
quinei quae ad remhianc pertinent, nul
lo negorio demonstrantur, quae reluri
corollaria subrecto.
TC
Corolt.