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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 73, page id 834940469:0157
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine
# Lines: 33 recognised, mean confidence 0.90
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Euius basis CAambituS Rgura AB et aleieudo circumFeren. Lucu
ria radiiE C; aeque eadem superlicies Colidirocundi est ad
Superkciem erunci inferioris exlindrici recti luper ABresC.
2.4
eti aplano balem AB reminormalicer Pecance in recta D F.s. luiuve
ve circumterentia radii C F ad C B; sed rectansulum cuius
balis est ambicus Agurae AB ee alcicudo circumferentia radii
EC seu suxerticies Colidirorundi geniri exrotarione tgurx
AB circa D F est ad rectangulum cuiuS baLS CCE am BIFUS A
Dura ABa alticudo FC, re circumferentia radii F. C ad FC;
ee proinde superticies erunci inferioris relectiaequalis est re.
ctangulo cuius balis est ambieus Agurae A B ee alcitudO P. C,
quod demonscrare oporcuit.
Fodem modo demonserarur hec proposeio, i superkcies
exlindrici rectiinsilcar lince rel lineis perimeerum non clau.
dentibus.
dC _ O L IV M.
Nduabus praecedentibus eisdem mediis demonseratur,
quomodocunque secetur cxlindricus, in primas crun.
cum inferiorem esle aequale erlindrico eandem cum propo.
Ecobalem habenei de alcicudinem aequalem perpendiculari
rece ad balem ex eius graritacis centro excieace vique ad
planum secans, _c in secunda, superticiem crunci inferioris
esse aequalem rectansulo balem habenti aequalem perime:
erobaleos crlindrici proposici e alcitudinem a qualem per-
vendiculari rectae ad basem crlindrici propolti ex CenEro
grauicatis eius perimeeri excitara rique ad planum secans.
PROP. 39. TH EORFMA.
Sicylindricus rectus, habens basem ab ona parte a recta termina
tam, secetur planoxer illam rectam, ex rotetur basis cylindriei
circa eandem rectam. et stat solidi rorundi porrio quaelibet; erit
corrionis centrum cranitaris idem cum contro crauitaris arcus,
61