# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1047377675:0090
# Permalink to this reading: https://leibnizlegible.com/page/1047377675:0090?run=74
# Title: [Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ (shelfmark Ms IV, 377a)
# Folio 74, page id 1047377675:0090
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=90
# Source image: https://digitale-sammlungen.gwlb.de/content/1047377675/jpgs/default/00000090.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 recognised, mean confidence 0.93
# 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.

74
circularis, in quo circumfertur centrum aquilibri irunci cyli
drici inferioris in cylinarici base notatum.
IE superEgura A BC ex rna parre a recta B C terminaca
cylindricus rectus, qui sectus a plano cranscunte per
rectam BC exhibeat eruncum suum inferiorem BC. AC, cuius
cenerum aequilibriiinbase GIEF. Fx rocatiOnC AGUrA ABC
circa rectam B C hac porrio solidi rocundi: dico porrionis
cenerum gravicaris idem esse cum cenero gravicaeis arcus
circularis in quo circumroratur punctum F: sinon sint eade.
incer illa sic distantia recta B; e concipiarur porcioni Colidi
rorundi circum seribi Colidum polvedium constans ex 2 vel
4vel 16,323 e vel quorcunque (dummodo numerus sc in
proeressione dupla a binario) ae qualibus eruncis inferioribus
cxlindrici propoliti recti secti a plano habence communem
incersectionem cum base rectam BC, e eidem porrioni lo.
lidirocun di inscribi aliud polyedrum priorisimile, ita veco.
rum cenera gravicacis diltene inceruallo minore quam recta
B: hoc enim possibile est, quoniam calia polyedra quo plura
habent laceras eo in infinicum porcioni (une propiora: dein
de per centrum aquilibrii L rectae BC normale ducatur pla
num Faciens cum crunco communem incerlectionem erian-
culum HFD rectansulum ad F. icem cum porcione lolidiron
tundi communem incersectionem lectorem circulilVLO, &
cum polyedro circum (cripeo polygoni regularis ad secto
rem circumscripei, item cum polyedro inscripto similem
porcionem polysoni regularis sectori eidem inscripri. Ma-
nifectum cctradium IV cNcaquolem rectae DF. Radio l
aequali rectae DE Sc sector circulilX9 ec lectori IX9 circum
Scribatur polygonum TS8 simile polySOnOKM N, icem et
dem inscribatur poly sonum 279 circum scripeo limile. Du
cdcur recta lL. quaruor lacera limilium polygonorum 7 23
T, PV, MR, bifariam lccans in punctis Y, R, Q, L; manifettun
est criangulum IL. KE rectangulum ad L. esse communem l6,
etio.