# Leibniz Legible — https://leibnizlegible.com
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# Title: Synopsis Geometrica (shelfmarks Leibn. Marg. 7,1; ZEN Leibn. Marg. 7,1)
# Folio 283, page id 797939695:0303
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797939695&page=303
# Source image: https://digitale-sammlungen.gwlb.de/content/797939695/jpgs/default/00000303.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine
# Lines: 49 recognised, mean confidence 0.84
# 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.

Mibus
vt ele.
Eculiie
Cai, dl
radium.
3 PutaI
lOgCnCd
legmemt
; ducta
S: hin
rectate
ualiS H.
ibecaliu
n HIe
etn Y
qualibu
cti in
Cam V
Ceomerrica.
V in curuam diver(i generis IK O, quans
lineam linuum appello. ex cum Colidum
comprehenlum dicta luperticie, duobus
quadrancibus YZZ, YZV, d criarulo Z
XV hinc resoluatur in criagula ZZV,u
actBn, aliaque parallela. (ub qua racione
perciner ad quincam clalsem, ec ad x-
quationem hgura ducitur ZZV in=
Z Y, inde vero reloluatur in luperticies
Cylindricas concentricas, qua decres-
cunc in duplicaca alcirudinum; henim
alumpeoradioZ v, re quadrans (ub.
radioZ v, est ad quadranEeM Z Y X, in
duplicata Z u ad Z. Y, ica de similis (u-
perticies cylindrica; decre lcune isieur dis
ctae luperficies, in quas dictum Frustum
cplindricum reloluitur, in duplicata aleiu
tudinum, acque adeo dictum Colidum Tub
hac ratione perriner ad cerriam classems
dead equationem ducitur superticies Y
SrZ8Y, in = Z X; vnde necessario
sequitur, esle duplam crianguli Z ZV.
aequalem isitur quadrato Z V; quod
iam alio modo lupra demonstratum eAt.
Elinc dictum Colidum est aequale pyra-
midi subTZ & alcicudinc  v, Si de-
mum lececur quadrans cylindricus per
planum YEV L Fructum superius divici.
EAE
283