# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1047377675:0069
# Permalink to this reading: https://leibnizlegible.com/page/1047377675:0069?run=74
# Title: [Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ (shelfmark Ms IV, 377a)
# Folio 53, page id 1047377675:0069
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=69
# Source image: https://digitale-sammlungen.gwlb.de/content/1047377675/jpgs/default/00000069.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine
# Lines: 45 recognised, mean confidence 0.76
# 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.

et
Otd
10
neis a plano refectass superticies rocundxe ex linee rellinea-
rum roracione geniex prae dictashabentrationes.
P R O P. 26. F HI POR F M A.
isdem positis quae in antecedente; Dico cubum semidiametri spha
e
ra aequalis solidororundo esse ad truncum verria ad duo.
Scenim (in hoc calu) eruncus ad Colidum rocundum re
 Cemidiameter ad sui circumterentiam, hoc eA, ve du-
plum quadeaci Cemidiamerri ad quadruplum circuli, hoc est,
ve 2 cubi semidiamceri ad sphaeram: es isitur eruncus ad
Tolidum rocundum, ve 2 cubi semidiameeri ad spheeram; de
convertendo _ permurando, Polidu rocundum est ad sphae-
ram verruncus ad 2 cubi semidiameeris sed sphera supponi;
cur aequalis solido rocundo; s ideo 2 cubi semidiametri
Sphaerae est aequalis crunco, ac cubus semidiamerri ad sui 2
racionem Habet quam 32d 2; e ideo cubus lemidiamerri
phaera ad cruncum eandem haberrationem, quod demon-
Arandum erat.
P R OP. 27. ZEI F O R F M A.
Si duo cylindrici recti quicunque aequialli, lecentur a planis qui-
buscunque, onusquisque in duos truncos; proportios solidi rorun-
diorti ex rotatione baseos cylindrici circa communem baseos (s
opus est) producta cum elano secance intersectionem, ad solidum
Forundum orrum ex simili alterius cylindrici baseosrotatione, ett
composita ex directa proportione radiorum retationis es directa
proporcione truncorum cylindriet inferiorum.
Mo
anisu
Dit
TMiB
ire
91
e1
M
jel
Ii
14
131F
de
0d
DEd)
IM