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# Title: [Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo (shelfmark Leibn. Marg. 103)
# Folio 95, page id 85138403X:0111
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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 0.83
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Et HINaTVOUOSo
legeucsingulae de rectae, sint A dP parabolis proportionales;
adeoqueur d N d, live N d3. Ouam igieur curram, ex PAEa-
boloidum genere ese constat; quam Semicubicalem axpellemus:
ntpore cujus Ordinatim-applICAIX DIAMCEEOrUI, SI PONaEuF A D
diamerer; vel, Diametri Ordinatim-opplicacarum, s Ponarur dia-
MCCUF A a; Tune in rarione sub duplicata triplicata.
Cum igirur sine d e ad invicem, uc d V d; BEquC DF = D P
=V D L: Fruncde L= VaL. Nempe, uc D VDaddN d: ACVDF
2d = YdL.
Cumque sint de, parabolis A dp proporcionales; CrUNE E
difterentie differentus proportionales: Adeoque differentia Fc,
cum inter se, cum ad inceoras d c; casdem habebune raTiOneS,
quas parabolarum differentix, cum incer se, cuma ad suas Parabo-
laS: Nempe illic, ut V d ad V d; hic, uc Aad 3 d. Adeoque
FF. 
YDE; (nempe uE = D, ad A, sC DF. = V D L, 2d
ZD VDEL FF:) _FCF
3=
pV dL. Ouibus igIEUE E PO-
nanEuE aequales dc erit A D C. parabola, cujus latus rectum
D A L
4 D.: quod nempe in diamerros d ductum, quadeatis ordi
natim applicatarum de aequabieur.
Farundem vero Le quadeata d d L A2
4D= 3 quadratis d d hoc est
A addica, extibene rectarum ce quadeata A= + 2 d L A
Ouorum quide quadTaEORUM AUOMEHEA SuprA A cum sine ip(IB
a proportionalia; s rectis e e Ponantur aequales db, Crit ABBD
eruncus parabola, cujus latus rectum est idem
d 
1
40a Ordin-
cim- applicata minima d b i 2; adeoque alcicudo abscissa A V