# Leibniz Legible — https://leibnizlegible.com
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# Title: Synopsis Geometrica (shelfmarks Leibn. Marg. 7,1; ZEN Leibn. Marg. 7,1)
# Folio 397, page id 797939695:0417
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797939695&page=417
# Source image: https://digitale-sammlungen.gwlb.de/content/797939695/jpgs/default/00000417.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine
# Lines: 49 recognised, mean confidence 0.86
# 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.

a5 lub er.
DolicA et
F b1. d
rhabea
RM 3R
dictaria,
Poliraer
UraTuI,
Genico.
le quo
8.de
eniTuI
aBH;
a BI
13 8
enc
genit
SIMEH
3 est
enim
Geometricum.
enim in puncto, in quo balis d axis de
cullantur; nempe centrum Colidi genici
est in axe, qui per centra omnium pla-
norum ducitur, icem in bale AguF. Jux
per centra omnium circulorum ctiai
ducicur; igitur in concurlu veriulque
cenerum geniri elle necelle eht.
X X X Lo.
Habetur ratio Colidi genici a Rg. Pemi-
creloidis, circaaxem reuoluta, ad cy
lindrum eiuldem balis e alcicudinis
sint omnia ve lupra semicrcloidis Agurs
ACBO, circa axem BC reuoluta, g0-
nitum ab illa est ad cylindrum ciuldem
balis e alcitudinis, ve solidum Tub alei-
iudine CB, procedes per quadraca C 6,
OS, AF, KH ec. ad parallelepipedu Cub
alticudine CB, de bah quadrato CG: ve
enim parallelepipedum esthomogeneum
exlindro, ita praedictum Colidum per
quadeata procedens homosencum geni
eo d CBC Sed Scicur ratio praedicti Coli-
di ad parallelexipedum per C oroll. 19.
Prop. 22. isieur inde habetur racio prae-
dicci geniti ad cylincrum quam intra ir.
calculisprobabiuSo.
Corobba
Prop.