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# Title: Synopsis Geometrica (shelfmarks Leibn. Marg. 7,1; ZEN Leibn. Marg. 7,1)
# Folio 217, page id 797939695:0237
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797939695&page=237
# Source image: https://digitale-sammlungen.gwlb.de/content/797939695/jpgs/default/00000237.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 52 lines, status machine
# Lines: 52 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.

let E
Idrat
EB, et
ubP
Dertir
aquol
Eptet
Arupl
bhui
arall
Olicu
P Aia
P, 1
;ide
F tril
ela le
nec d
eta 1
illua
eAt8
311.
Ceometrica.
217
nie figuram primae clasis illi aequa-
leM.
22. HIinc exilinCUM RDAR est Cub-
criplu rectanguli FR, eAtque ad rectan-
sulum, re conus ad cxlindrum, prramis
ad prilma; hinc eriongulum A RR est
ad crilineum in ratione selquialtera; igi
cur d rectangulum RF ad lemiparabo-
lam in eadem ratione selquialtera; igi-
tur e Cemiparabola ad trilincu in ratio
ne duplaiid est, ve rectangulum ad trian-
sulum; icem crilineum ad Cegmeneum A
RD a, in racione dupla _C. vi
des, quam facile parabola quadre-
TuF.
23. Hlinc (i sine dua hrura eiuldem
generis quancicatis, lub cadem bali ee
alticudine, quarum rna sit secundae; alte-
ratertiae clallis, illa est huius lelquialco
ra; sic enim criangulum A H R d tri-
lineum RD AR, CuB eadem Ba(I R R
dc alcicudine R A, triangulum est lecun-
dae classis de aequatur du Sa RE R in lub.
duplam alcicudinis; crilineum vero cst
certia, de aequocur, ductaeadem ba(I in
luberiplam ciusdem alticudinis; signie
aurem rectangulum dueta R R in tocam
R A; isirur criangulum eAt Cubduplum
illius.