# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/797939695:0363
# Permalink to this reading: https://leibnizlegible.com/page/797939695:0363?run=74
# Title: Synopsis Geometrica (shelfmarks Leibn. Marg. 7,1; ZEN Leibn. Marg. 7,1)
# Folio 343, page id 797939695:0363
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797939695&page=363
# Source image: https://digitale-sammlungen.gwlb.de/content/797939695/jpgs/default/00000363.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 52 lines, status machine
# Lines: 52 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.

Lie.
adiot
idius
lB, e
Caleu.
medis
14. d
L.dd s
VIrCaC
BC
lepipe
tDC
CantI
alibus
circt
Ceometricum.
rero applicaris B A ordinatim praedictis
mediis proportionalibus, voluatur H8.
circa AB, genicum erie ad cxlindrum
ciuldem balis, d alcirudinis, ve AX ad
AB
Prop.
Silicfs. Cnuum C AF, e alia axe Fisura
communi AB, Sicque Colidum ilopa-
rallelum (ub F A B, _ alcicudine AI, X-
quali A C, ac demum Colidum sccetur
plano BIF. Frustu inferius RIOB est ad
tocu Colidum, ve radius C. F ad aXC C A;
superius vero, re differentia axis et radii
ad arem; de ad aliud Fructum, ve praedi
eta difserentia ad radium. demonstracuE,
sic IT aequalis radio FC, Ticque Hg. SInULI
TOBd trilincum locium OAI; tructum
SMperiuS EABI procedir per Ccomenta
recta parallela BAE, NDM, XC. eA aUTE
BAE ad ND MI, VE A O ad DF, Per C0-
roll. 2. PrOP. 5. idem de quolibet alio leg-
mento aumpeo demonstrabitur; igitux
tructum E. ABI est homogeneum erilineo
AOlisirur verrilincum AOI ad rectan-
sulum AT, ita Frustum F. ABI ad iCop2-
rallelum lub eadem ba(I F. AB e alcieu-
dine Alised rectangulum AT est ad eri
lineum AOI,re axis A I. ad differenciam
2X15
13.
opit
IOTuII
Mil
Dpe
aegua
Etb