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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 15, page id 834940469:0099
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 recognised, mean confidence 0.90
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eruncis Ped disterentia inter reccilineum inicriprum _e cir-
cum (criprum minor est quancieace x en suppolitione; e ideo
differentia incer superhciem erunci de Aguram mixrilincam
mulcominor est quam a. quoniam earum ucraris demonstra-
cur maior recrilinco in(cripeo de minor circum (cripios quod
tieri non porele, vonitur enim a difterentia inter lupertr.
ciem erunci ec mixcilincum; nulla igitur ele differentia incee
figuram mixcilineam et superticiem erunci, e proinde lune
aequales, quod demonstrandum erat.
eildem posicis, sie mixcilincum V Y BD2 3E calis nacurae,
ue a quolibeT pUnCtO CUErA F. O nempc C duc parallella
rectae LEnempe C2, intercepea recta B Z inter duas curras
VD, DE, hac aequalis cangencicurram propolicam in puncto
Ciprorraceae ad rectam AB, nempe recex Cu. dico mixci-
lineum VXBD2 5E aquale cne luperhcicierunci superio.
ris eiuldem prioris crlindrici polica eius alcicudine recea
RV. rCCTE MCu in pUINCEO CAE recEAnOrmaliS GY7 rCCEAML
R V secans in puncto7. ob similicudinem eriangulorum 557,
GKHI, uE CS ad C7 ita CK ad GFI, _E VE GIE ad CHLicASV ad
CM relSB, _ SR ad Ou rel B2; _ id eoCoS est ad G7 uERV
ad 52. eodem mocto demonttrari porest IT ese ad lB VERV
ad T3: cum que hoc hac in omnibus punctis currxe LO, mani-
Feltum CA ex huius 2 mixcilineum R D 2 3E V ese aequale su-
perticiei cylindricirectiinsictenci currae CO. cuius alcicudo
AV; atque luperticiestrunci inferioris aequalis es mixcilineo
RV YB D, e proinde superhciescrunci superioris equalis
elt mixcilineo DBX VE 32D, quod demonstrare OpOr-
TUIE.
Hinc eriam manifecum est superticiem erunci inferioris
de mixtilineum RV ZBPd ehe quancieoces magnicudine
de Graricate analosas, quoniam eadem aequalitas quae de-
monttratur de inceoris, eodem modo demonstratur de par-
cibus earum proporcionalibus. Manifectum quoque est tu
verlciem crunsi superioris se mixtilineum V YBI 2 3E cMlC
quat