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# Title: Synopsis Geometrica (shelfmarks Leibn. Marg. 7,1; ZEN Leibn. Marg. 7,1)
# Folio 39, page id 797939695:0059
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797939695&page=59
# Source image: https://digitale-sammlungen.gwlb.de/content/797939695/jpgs/default/00000059.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine
# Lines: 46 recognised, mean confidence 0.83
# 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.

viul-
lOOuS
las per
1gulis
Ia al.
ehen-
ducta
Ve (U.
Pla
VIna
laH-
1de
nCa
D2IM
VE
EUx
Oni
Ceomerriba.
coni est recta ducta d vertice ad Cen-
erum basis; conus rectus est cuius 2xis
in centrum balis perpendiculariter cadie,
VEPMO, vel ART, CcalenuS CONELa,
rEV BD, cum axe inclinato BM; alci
tudo coni es perpendicularis cadens d
vertice in planum baliS 5 Ve MO, BM;
Orthosonius; in quo ab excremis ciub
dem diametri balis, duetae linex ad ver-
cicem constimune angulum rectum, re
PMQ; ambly sonius, obculum, oxygo-
nius, acutum. Si lecetur conus per pla-
num basi parallelum, lectio elt circulus,
ve L N; si per planum lateri oppolito
parallelum, lectio eAt parabola, ve
KNR; E per planum non parallelum
bali. Sed ad latera oppolica termina-
cim, sectio est ellipsis, Ve Y Z; E dc-
mum per quodliber aliud planum, se-
etio ett hyperbola; veSIT.
Definitio XVITI.
Ratio est quanticatis ad quantitarem
eiuldem generis habitudo, id elt, relpe-
ctus, comparatio quaedam, relatio; (iC
rna vel aequalis est alteri, vel inaqualisi
hinaequalis; vel maior; vel minor; (i
maior, vel commenlurabilis, velincom-
mensurabilisi