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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 100, page id 834940469:0184
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=184
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 recognised, mean confidence 0.88
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25
10C
us 4 semihy perbolam D sL ee aequalem superticiei erunci
Supercurua paraboliea DFI lecex a plano perrectam DB
transcunre e in anculo semirecro cum bale erunci inclinan-
ce; e ideo; cum quacrarum rectx Xlic duplum supertciei
trunci, erie Xradius circuli aequalis superticiei geniex aro-
huius. cacione curua parabolica circa recram D B, quod demon,
Erandum erat.
Fx hac propolicione pacer Pemihyperbolam DKL. eNe ma
onitudine se grauicare analosam cum superticici: ex haC3
ancecedence e huius 58 non disticile cs invenire cemerum
Gravicaris curux paraboliex vel eius porcionis cuiuscunque
dacae, quod admonnise Pusticiat.
PROD. S3. PROBLEMA.
Invenire centrum crauitaris semicylindri recti oblique secti.
ETE circulus BC: OC Cylindribahs, cuius diamerer B.
 licque recta B A circulum cansens in A Cemicrlindri al-
sicudo aqualis rectae BC. perinde enim el cum omnes Pemi-
Cxlinari super eadem bale line onalogi, qua producatur ad
Darres Bindetinice, sirque ciparallela d indehinire lonea,
recta PO; AANECFIAM AP, CR, DI, parallelae diametro B
e ducatur AL recta reliquis le habencibus re in Rgura. Sic
figura CRM ealis nacurX, ve (ducta recta quaCUnqUE F YHM
paralela rectre P(2) F Y SIC Bd FY DE CY ad RM: AGUTA CRM
ek analosa magnirudine de gravicare semicrlinaro; orque
huius hgurae Ccu semicylindri cenerum aequilibrii iea inveni
EuT: SincCR, RS, aequates reliquis se habentibus ve in sigu-
xas hacque tigura DOT calis narura, ve (ducta recta quacon
QUC EZRMNO) EY SIEAdKL VERMAdHO; d ROurR DOI
circum scribatur rectangulum DV: sIC deinde vE EOUrACRM
ad Aguram DOT IEA F Y ICU R C ad C Z, manifectum eHC CX
MuiuS 37L. CAC cenerum aequilitori Fisurx L. M R: ABUIa dV.
EEI