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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 11, page id 834940469:0019
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=19
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine
# Lines: 33 recognised, mean confidence 0.84
# 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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7CF
od L  a a a a 
Duadratura.
cctculi, ellipseosrel Fyperbola Pegmentum
BLP CIUS Cenerum A: Compleacur erIaNSU.
) dam ABP, de legmencum in punaIs, B, P, can-
enres ducaneur secce BF, PF, le inuicem lc-
 CanceS in punCtO Es prOdUCATT (L OpuS HIE) re-
eta A F segmemcum incerlecans in puncto L de rectam B P im
puncto Q: delude iunsanrur rectae BI, PI.
PROP. L THEOREMA:
Dicotrapezium B A PI esse medium proportionale inter
trapez ium B A PL, es triangulum BAP.
Voniam recta A O ducituI per F concursum duaru re
CaruM FB, FP, legmencum in punctis BB, P, tangenciur
ou orrecta A cectam BP conractuui puncta iungencem bi-
tariam lecab cin puncto 9; ec proinde criangulum AB C
est xqualc eriangulo AG P, de crianguluu FBC criangulo
FEP; d isicur criangulum ABP aequale est rriangulo APFs
est erod rriansulum ABF dimidium craperii ABFP: codem
modo probacur criansulum AB I ene dimidium eraperI
ABIPs de criangulum A B C est dimidium erianguli A B P.
cumqueeriengula ABF, ABL. ABO. candem habeant al.
ticudinem, incer se lunc vebales, led eorum bales nempe AF,
AI, AG. lunc concinue proportionalesi seisicur ip(a quoque
triansula luns concinue proportionalia; ec proinde corum
AUPIANIM ITUML EFAPCEIA ABFP, ABIP, Se criangulum ABP.
lurie coneinue provorcionalia in rarione A F 2d AL, C, 1 1d
demostrare oportuit.
seda
e
de
L1C