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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 106, page id 834940469:0190
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=190
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.87
# 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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# After the first blank line: the recognised lines in reading order, one per line.

Tuius.
rio, nempe ve sPD Oad APD + 6PO F 2.
PROP, 57. YHI FORP M A.
DOliro parallelopipedo e cylindrico habere alcicudine
a
AK de reliquis re in ancccedence; si cylindricus rectus
super A CIK secetur a plano ad balem Peminorinali de cam
secanre in recta A B. Dico parallelopipedu super ABIK eNe
ad inferiorem eruncum cplindrici super AC IR in racione
Drfo 202d0. Sit quadratUM AM TK cum inleripea linea A
H P calisnocurae, ve (Tampeo ad libicum puncto F ee ducta
recta D E O ipsi A K perpendiculari d lincam AR T sCCANEC
in punctoR, icem duco per punctum F planO ip(I AK nOr-
mali, cuius incersectio cum erunco interiore est rectangulum
LAEC) AE AE Ad RE SCUE BA adCF. Pacet ex constructio-
Herationem AL adRB esle mulciplicacam rationis AR ad t
E in racione P ad, de componendos racio AR adRL, hOC
eAracio KT ad REs es mulciplicoca rationis AK ad AF in ra-
tione P  ad; de ideo quadracum AN:TK cA ad liguram
ARTK vED t 2 GadC, aC VE ABIK ad AM TKica IK vel AB
edTX (eH AK, d ideo rectangulum AB IK CIt ad AGUraM AR
EKin racione compolica exratione Pit 2 ad Qde exratio
ne AB ad AK. Ouoniam AE CA adR E VE B A ad CF, crie re
etansulum AE: in C EnemDC AFC L. aequale rectangulo AB
in RE, cumque hoc lemper har, eric cylindricus sUDeT AR TK
habens alcicudinem AB aequale inferiori erunco cylindrici
super ACIK; _ ideo parallelopipedum super AB IK cum alci
cudine aB CA ad cplindricUm (UPET AR T X sCu truncum iro
Feriorem crlindrici super ACIK ve balis ABIK ad basem AR
TK, hoc est in rarione compolica ex ratione P. 2 adO se
ex ratione AB ad AIE, sc parallelopipedum super ABI R cum
alticudinc AB es ad parullelopipe du super ABIK cu alcicudiu
NE AK VE AB ad AK; ee proinde parallelopipedu super ABIK
cum adcicudine aK cst ad eruncum inferiorem cylindrici lu
DEF
eoc