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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 55, page id 834940469:0139
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=139
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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 0.92
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XY circa VS, in ratione composiea ex proportione erunci 34
CD ad cruncum 567 YXI e ex proporcione radii rocarionis
LE ad radium rocarionis e T. Racio Colidi rorundi orri ex R.
Gura D C. 3d TOlidUm OrFM Cx AGUFAZ X Y, est compolica,
exratione Colidirocundi ex D C orti ad truncum 34C. D, ex
racione erunci 3 4C D ad truncum 567 YXL, de exracione
crunci 567XXZ. ad Colidum rocundum ex Z. XY orcumi led ra.
eio Colidirorundi ex DC orti ad eruncum 54 CD est aqualis
racionicircumFerenrie circuli ex Cemidiameero LP dePcripei 21
adIL. alcirudinem cylindricii de ratio erunci 567 TXZ ad (0. huius
lidum rocundum ex YX Z. Orcum est ae qualis racioni  seu
IE alcicudinis cxlindrici ad circumterenciam circuli ex le-
midiamerro Ter descripri; ee proinde rario Colidi rocundi
orci ex DC ad solidum rocundum orrum exZ. XY est compo.
lica, exracione trunci 34C D ad eruncUM 567YXZ, CXPA-
cione circumterentia circuli ex semidiamcero L. P descripei
ad rectam IL, e exracione rectae IL. ad circumterenciam cir.
culi ex Cemidiamerro Tes descripci; led hae duae postrema ra.
ciones componune rationem circumterencia circuli ex lemi.
diamerro L. F de lcripri ad circumferentiam circuli ex lemi-
diamerro Tes deCcripei, quae cadem est cum racione lemidiai
metri LF ad Cemidiameerum Te: Xx proinde Colidum rocun-
dum ortum ex roratione Rgurae DC circa axem FC, est ad To-
lidum rocundum exroracione hgurxe X Y J. circa axem VSin
racione compolica ex proporeione erunci inferioris 34 C D
ad truncum inferiorem 567YXI, de ex proportione radiiro.
cacionis E L. ad radium rocacionis Tes, quod demonstran.
dum erat.
P RO P, 28. T HI F ORE M A0
Eisdem poliris quae in antecedente; Proxortio superficiei solidi rotur
di orti ex rotatione baseos cylindrici circa communem baseos (st
oous est) producta cum plano secante intersectionem, ad superfi–
ciem