# Leibniz Legible — https://leibnizlegible.com
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# Title: Synopsis Geometrica (shelfmarks Leibn. Marg. 7,1; ZEN Leibn. Marg. 7,1)
# Folio 345, page id 797939695:0365
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797939695&page=365
# Source image: https://digitale-sammlungen.gwlb.de/content/797939695/jpgs/default/00000365.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine
# Lines: 50 recognised, mean confidence 0.74
# 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.

Pra
etum
a UtIa
AII
A LA
Ceru
ReM.
ZH
lelb
Calt
a d
rrice
1LC
Cet
eta
DlC)
16eb
ATUE
ra
EuI
Ceomerricum.
dictum per planum B IF, igieur iuxta r2-
tionem Archimed. Frustum luperius est
ad inferius ve 4.dd 7. Ad EOLUI rCIO, VE
4. dd FE. interius vero ad eotum vE 7. ad
Prop. I X.
Centrum geauicatis fgurae linuum in-
reorae, seu duplicata, cum axe communi,
ita diuidic axem, re Ccomeneum versus
verticem Agura SIE adL EOELLI aXCILVEPa-
dius ad arcum quadcaneis; lic tg. LInuuI
CAE, cum COcia C AB; aXiS COmIuNIS A
Ciita dinilus in R, VE (CGIENEUIM R A, sIE
ad tocum C A, VE Fadius ad arcumm qua-
drantis, erit R centrum oranicaris Hg F A
B; quod siE in aZC AC, CONCTAES CIIM A C.
diuidat bitariam omnes applicatas F B,
HO,ecC. Quod (iF in R, demOSEraEuE; de-
miceatur R X, Parallela A L, diuila bita-
riam in5, duetaque ss parallela AC, du-
cantur LorSC; tae lune parallela, in ld est
centrum gravicaris Frusti RLO B, quia
transie per centra orauitacis cmium re-
etangulorum paxallelorum PR; icem in
SC crit centrum gravicaris Frusti E ABI3
quia tranlie per cenera gravicaris omniie
rectangulorum parallelorum HI NI; Cic in
Pr. 8. cemerum Trusti P. AB P, sicque pun
ctum
0