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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 53, page id 834940469:0137
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=137
# Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000137.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 25 lines, status machine
# Lines: 25 recognised, mean confidence 0.92
# 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.

neis a plano relectas, superticies rocundae ex line E rellinea
rum rocatione geniex prae dictaShabenEraTiOnES.
RO P. 26. F H FOR E M A,
eisdem positis quae in antecedente; Dico cubum semidiametri spba
ra aequalis solidororundo esse ad rruncum verria ad duo.
Scenim (in hoc ca su) truncus ad Colidum rocundum re
L Temidiamecer ad sui circumterentiam, hoc est, ve du-
plum quadraci Cemidiamerei ad quadruplum circuli, hoc cst,
re 2 cubi Cemidiameeri ad sphaeram: cM igicureruncus ad
Tolidum rocundum, re 2. cubi semidiameeri ad sphaeram; ee
converrendo e permutando, Colidu rocundum eAt ad (pRx-
tam veeruncus ad = cubi Cemidiameerii (c d sphaera lupponi
cur aequalis solido rocundo; e ideo 2 cubi semidiameeri
sphaerae est aequalis erunco, ac cubus semidiameeri ad lui ?
racionem Habec quam 3 ad 2; 8 id eo cubus lemidiamerri
Sphaerae ad eruncum candem haber rasionem, quod demon.
atrandum erat.
P R OP. 27. YHI F O R P M A.
Si duo cytindrici recti quicunque aequialti, lecentur a planis qui-
buscunque, onus qui sque in duos truncos; proportion solidi rotun-
diorri ex rotatione baseos cylindrici circa communem baseos ((
opus est) producta cum Plano secante intersectionem; ad solidum
rocundum orrum ex simili alterius cylindrici baseosrotatione, elt
composita ex directa proportione radiorum rotationis e directa
Proporsione truucorum cylindriei inferiorum.