# Leibniz Legible — https://leibnizlegible.com
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# Title: Synopsis Geometrica (shelfmarks Leibn. Marg. 7,1; ZEN Leibn. Marg. 7,1)
# Folio 135, page id 797939695:0155
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797939695&page=155
# Source image: https://digitale-sammlungen.gwlb.de/content/797939695/jpgs/default/00000155.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 57 lines, status machine
# Lines: 57 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.

CD, D
3 HB.
CMI qude
dsedu
ridguia
d triis
guloD
eade
a AHI
alis A
triang
+
LXI.
CC Ei
AF eni
bisrett
est lum
 e
E 2g
CM est
enim
X
ZY
XY
d
InIdC
109u
Geometrica.
ea ubZ E, L Y hinc, relduum est
bisrectangulum (ub Z X Y; indo bis
rectangulum Tub ZL Y; idem isieur
est excellus ablatorum, id est quadrato-
rum, qui reliduorum; cum autem li-
neae Z X Y Eu rationales, carum qua-
draca lunt rarionalia; igirur ee compo
sica ex quadratis rationalia, igitur e
compolica ex rectangulis; erso d ipla
rectangula; erso rectangulum lub
Z XY est rationale; led est medium.
re contaE, ex nUIeF. S. IsITux irratiO-
Dale.
9. Cum binomium constet ex nomi
nibus inaqualibus, alioquin binomium
non elleri rel quadratum maioris nomi-
nis luperat quadrarum minoris quadra-
to, lub linea lonsicudine commensura
bili, cum naiore nomine, vel (ub linea
incommensurabili longitudine; si pri-
mum rel maius nomen est commentura
bile lonsirudine, cum expolita rationa.
li,ec est binomium primum; vel minusi
et cAlecundum; vel neuerum, e est
certium; lvero alterum, vel maius est
commensurabile, e est quartum; vel
inus; ec est quintum; vel neutrum habe.
curs et est lextum; exempla Facile suppe-
eemn