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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 7, page id 834940469:0091
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=91
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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
# 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.
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# After the first blank line: the recognised lines in reading order, one per line.

ordinde maior est differentia incer haec rectangulas qua incer
superlciem cylindricam ee mixtilincum; ledreaangulorum
differencia est rectangulum X in differencium rectarum 7 A.
grielaucem differencia rectarum 7 A, 7V, minor rect A B CK
suppolitione; e ideo differentia inter rectangula X in FC,
BO, A7, AmuI, _X in FC3 B9, V7, Simul, minor est quancica-
ce an nempe Facco ab Z in B, hoc est ex policiones differentia
incer superticiem cxlindricam de mixcilineum, quod est ab-
Curdum, octensa enim estmaiors superkciesigitur cylindrica
_ mixcilineum lune aequalia, quod demonstrandum erac.
Duodh curua 7 D non tueric Cimplex Ced hinuolasdiriden-
da elt in plures simplicess e demonstratio in rnaquaque
Tcorum insticuenda.
Sirero tansens7 A Fuerie perpendicularis ad recram 7 8,
mixcilineum PNLESZ excendetur in infinicum ad parECS P.
hoccamen non obstance: dico adhue mixcilinCUM PNL FISZ
aequale ese superticiei cxlindrici recti super curra 79 C. D.
cuius alcirudo X. Si non lune aequalias sic (si Reri poce(e)
mixcilincum maius Cuperticie, de recta N3 recrae Hd paral-
lella abscindarur mixtilineum NLFIS3 aequale superticiei
Cuper curus 7gCD, hoc enim absque dubio heripotelt: co-
demque modo, quo unces demonscrarur mixcilineu NL. HdS
aequale esse superticiei super gCD; sunc ergo aequales, su-
pertcies crlindricirecei cuius alcicudo X, luper curris gCD,
7gCD, quod esc absurdum; mixrilineum ergo PNLFS2nOn
elcmaius dicea superticie cylindrica: lic (si Aeri POrelc) mi-
nuS; de ab scindatur gD curvo, ica ue superticies cylindrici
recci super oD exiscens, aequolis Eac mixrilineo PHL HdZ,
_ duCaTUT 3 9NreCEX HI SparAIIeILA: dCMON(ETAEUEUEANEC
superticiem exlindrici recci super gD exiscencem, aequalem
este mixtilinco NLHSS; Sed ex suppositione eadem lupecti
cies cylindrici recri ae qualis ele mixcilineo PNLHAZ; mixcin
lInCAErSOPHLHSZ, NLHS3, luncincer se aqualia, quod cse
absurdum; ee ideo mixcilineum non ele minus superticies
sC