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# Title: Synopsis Geometrica (shelfmarks Leibn. Marg. 7,1; ZEN Leibn. Marg. 7,1)
# Folio 387, page id 797939695:0407
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797939695&page=407
# Source image: https://digitale-sammlungen.gwlb.de/content/797939695/jpgs/default/00000407.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.

disqui
ezi06
l, quia
uale
56 ~.
Valibet
itemR
AC TTd.
est ad
Cylin-
circulo
callelo,
: lune
um,
3qua
quia t
Ia Qua
aGua
Sulum
Quats
Geometricum.
es
quater praedictum legmentum; isitur est
duplum erilinei DFC.
Prop. X XY.
Hlabetur ratio dati cuiuslibet legmen-
ti recti Ag. Crcloidis ad totam Ag. CIE
primo legmentum AB F, cA ad C B C
re quadrans plus quadrato, lub AB, ad
eres lemicirculos, id estiuxta rationem
Archimedeam, re 25. ad 66. ve compo-
lica ex AD _ dimidia D F ad composi-
eam ex C C e dimidia C C; sit deinde
aliud segmentum puta RBN. Ccicur
ratio L. BN vel X Z II ad quadracum
Sub AB, per P. 6. isitur ad quadran-
cem; scitur etiam eacio Cemileomenti R
BL ad quadrantem, est enim aequale re-
ctangulo sub dimidia L. V, dc A B, ni-
nustriano. AR L; isicur habetur rario
Scomenei R Li N ad quadrancem; igitur
ad TocaM C B C, Quae Contince 6. Qua-
drantes. Ilaud aliter habetur ratio leg.
menci OBS, quia habetur C T, item
OTSaequaleMI NB; quo lublatO ex
CT, d reliduo Tublato ex tota C BO.
reliduum erit O B. S; vel breuius; cum
EMIN F Sic aequalCF I T S, daris, O
ABE, _MNB, haberur OBS aequale
praedictis simul Cumpris.