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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 50, page id 834940469:0134
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=134
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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 0.92
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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50
oblacum circulum cuius Pemidiamecer F V; et proinde in ea
dem racione eric reliccum crapezium CF FFI ad relictam ar-
millam circularem genitam ex reuolurione RCCEX F P circa
exemroracionis TK, nempe in rarione OP ad circumteren-
eiam circuli, cuius semidiamerer L. P: atque haec proporrio
eodem modo demonstrarur de omnibus rectis ductis in ba-
sCDE FC, quae (A Opus CA) productae; in exemrocacionis I
Knormalicer incidunes acque ex omnibus iltis rectis conAa-
cur ipsa basis DC; ex omnibus rraperiis super iltis rectis de-
Scripeis ConAacureruncus RODC, de ex omnibus ormillis ab
iltarum rectarum revolucione geniciss consatur solidum ro-
tundum genicum a renolutione baleos circa axem rocacio-
nisIR; de proinde ve rna ancecedentium ad rnam consequé.
ciumnimirum OP alcicudo crlindri ad circumferentiam cir-
culi cuius semidiamerer PL radius nempe rocarionis, ita
omnes anrecedences, nimirum omnia crapezia, hoc est, tru.
CuSRCDC, ad omnes consequentes, nempe omnes armil-
las circulares, hoc elt, Colidum rocundum orcum ex rocacio.
nefoura DC circa axem IR, quod demonstrare oportuie.
Hloc theorema eodem modo demonstratur de rrunco su-
periore, s fgura AB concipiarur rorari circa rectam MH.
Pacet ex demonstrarione eruncum RODC e solidum ro.
cundum orrum ex revolutione Ba (eOS D C circa aXeMrOTA-
tionis IK ese quancitates masnitudine ee grauitate analo.
825, quoniam eadem proporcio quae demonctratur inter in-
cegras, eodem modo demonstratur de carum partibus pro-
porrionalibus.
In sequentibus norandum (quando loquimur de Superti-
cie cylindrici vel crunci) nos incellisere solam superticiem
line basibus; hoc est nunquam consideramus Aguras quae
func cxlindricibases, nec communem sectionem plani cy-
lindricum secaneis.
PROF.