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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 72, page id 834940469:0156
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=156
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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.
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35
L
 
drici propoper base e altitudo, intercepia recta inter centrum
gravitatis baseos es communem intersectionem baseos es plani se
cantis.
 Ine cedem Rpurae, quae in ancecedente: super hour
AB (cuius graricaris cenerum C) concipiatur cylin
dricus rectus sectus dplano balem AB CeminormaliceR
secanee in recta DF: dicorruncum ejus inferiorem aequalem
esse cylindrico super base AB habenci alcicudinem F. C. 505
lidum rorundum orcum ex roracione Agure AB circa rectam
suius. DF aequale cs cxlindrico cuius basis AB ex alcieudo circum.
Ferencia radii L: C; acque idem Colidum rorundum cR ad
eruncum inferiorem cylindrici recti super AB relectam d
planobalem AB Ceminormalirer secanee in recta D F ue cir-
cumterentia radii C L adradium C F; Ccd cylindricus cuius
huino basiS AB e alricudo circumferenciaradii C P. leu praedictum
Colidum rocundum cst ad cylindricum cuius basis A B ec al-
cicudo E C, vecircumterencia radii E C ad F. C; et proinde
eruncus ille interior relectus aequalis cs cylindrico cuius
BaliS AB e alcitudo EC, quod demonstrare oporruit.
A 10
30. Y H F O R F H A.
Si eylindricus rectus secetur Plana ad basem seminormali; supersi
cies trunci inferioris aequalis erit rectanculo, cuius basis est pe-
rimeter baseos cylindrici es altitudo intercepta recta inter cem,
trum granitatis Perimetri baleos es communem intersectionen
baseose plani secantis.
TIdem posiris quae in anrecedente, E C ceneruM stau
 caris perimerri baseos AB. Dico supertciem erunci in
ferioris aequalem esse rectangulo cuius balis est ambicus A-
ourx AB ee alcicudo recta F. C. Superticies Polidirocundisc.
niri exrocacione fsurae AB cirea D L aequalis est rectangulo
cuius