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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 4, page id 834940469:0088
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=88
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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 0.91
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que
CurraRSIY e rectis R2, Y S, S2 comprehensum. Deinde
Aac uc93 ad53 ica X alcicudo cslindrici ad 3 NI; idem Reri
supponimus in omnibus aliis rectis spaciiRV S2 recte 2d per
pendicularibus, ue compleatur spacium PEI se comprehen;
Cum a curra PHI _ rectis HIS, P 2328: hoc cM incelligo duo
mixcilinea esse descripta, quorum primihaec est proprieros,
uc exeius currae puncto quocunque Sin rectum 26 demilla
perpendiculoris 53 sic aequalis perpendiculari ad curvam 7o
CD in puncto cransicus g nempe 96. secundi vero haec HE
Proprieras, ve ex eius currae puncto quocunque Nin rectam
26 demissa perpedicularis N5 sic ad alcirudinem cylindrici
X, re eius pars incercepca in primo mixtilineos z ad eius
parcem incercepeam a curva daca 93. dico mixtilineum se-
cundum PH s2 esse aequale superticici exlindricirecti, cuius
basis est curra daca7oCD, _ alcirudo recta X. Si mixcili-
neum PHI S2 non est aequale superticiei cylindrici praedicti,
incer illas erie aliqua differentia, quae sic a planum: explice-
cur a planum ad rectam Z, sicque lacicudo inde oriens β. du
Cacur ex puncto7 recta7 A curram 7 D eangens in Puc07,
ec ex puncto D ducacur recta De curram cansens in pun-
a0D, Scque recte D e porallella7 v. _ ex punctis 7. D, in
rectam 26 demirrantur perpendiculares 72, dD; diridatur.
que recta 2 din tor partes aequales, ut ab extremitace ca-
rum primae crecta perpendiculari 3 A, excessus cangentis
abCcillae A supra parallellam ablcistam7 V AC minor recta
Bhoc enim lemper heri posse manifestum est, si FanGCNS
A non scperpendicularis recte 2 s, nec curra daca sinuota.
a dinisionum punctis 2, 3, 4. s exciceneur perpendiculares
2P, 3N, 4L, StI curram dacam secances in punctis 7, 9)
C. D; curram primâ inveneam secances in punctis R, S, T, V,
e secundam in punctis P, N, LsHI; deinde curram dacam can-
Sences in punctis 7,9, C, D ducantur rectae 7 A, 9B, CF, D8,
aproximis perpendicularibuscerminara, sincque recta 78,
90,CB, D5, ZP, NK, LC, HI, LM, NO ipsis parcibus aequali.
bu.