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# Title: [Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ (shelfmark Ms IV, 377a)
# Folio 48, page id 1047377675:0064
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=64
# Source image: https://digitale-sammlungen.gwlb.de/content/1047377675/jpgs/default/00000064.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 17 lines, status machine
# Lines: 17 recognised, mean confidence 0.89
# 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.
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# After the first blank line: the recognised lines in reading order, one per line.

48
inclinationum tansentes, quod Facile est demonstratu.
Nullo quoque negocio demonstratur huius problemacis
converlum, nempe ex dacis figura alicuius quadrarura et
Grauiracis cenero; Colidi alicuius rocundi ad exlindrum dacit
proportionem, ee eius centrum grauiratis, InUENITE.
P ROP. 23. Z II F O R F. M A.
Si cylindricus rectus exictens suxer qualibet ficura, secetur plano
quilibet truncus huius cylindrici erit ad solidum rocundum ora
tum ex ejus base rotata circa communem sectionem baseos (sopus
est) producta ex plani secantis, ur alticudo cylindrici ad circume
ferentiam circuli, cujus (emidiameter est radiusrotationis.
Tcerlindricus rectus ABDC super figura quacunque D
aCF, qui sececur plano quocunque KLAM, ita rE COmmU;
AACab Blada  b and et bB BdlCOS CL PlAMuM seCeC II
recta
etectio piu ueoen araa CtC. PIO