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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 93, page id 85138403X:0109
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=85138403X&page=109
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
# Lines: 38 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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Et TINaNOUOS.
demonstrationem nondum videram; non commodum videbacue,
iplius intermissa, aliorum demonstrationes edere; sed vel sibi
permicendum uc suam ipse edat Nelius, vel aliam Palcem exve-
Ctandam opportunicacem. Hlaec autem crat.
Sit A D C parabola recta; cujus diameter A B = a, basis BC
=b, sit que B L = C; e fiat ubique, ut parabola A B C ad parabo-
Jamt A a C, sic BF. ad 2C; (num autem coincidant necne puncta
CF, perinde ost.) Dico rectam A B ad A CF curvam, esse ut
27 ac ad 4 a2 F 9c2, in a: 4 a F 9c=. minus 8a2.
Cum enim sint ubique ut A aC, R 2C, parabolae; sic 2C, 2C,
recta: erunt etiam EC, D C, rectarum differentiae; ut a CC a, d C C a,
differentiae parabolarum; hoc est. (sumpeis a d infinite exisuis,)
ut ac, dc, rectae; sive ut 22c, 2dc, rectangula.
Fiac autem, ut AB ad BF, (sive ut a ad c;) sic BR rectanculum
aque altum, ad A P C parabolam.
Cum igitur sit BK = AB, erit
Par. AaC
AK
AK = PC.
Par. ABC = BF, e
Ducantur ah recto, quae mrisque 2K, 2C, aeque possint; (qua
proxterea parabolae seementum complent:) Fritque = 2 d h
AF  CC.
Ut isitur omnes al, hoc est rectanculum BK; ad omnes ah,
hoc est parabola sesmentum AI H B: sic omnes a a, hoc est AB
recta, ad omnes ee, hoc est A CF. curvam.
Est autem BK rectanculum, ad sesmentum parabola AKFIB,
ut 27 a c2, ad 4 a + 9CF, in N: 4 a2 F 9 c: minus 8 a. Ouod
sic ostenditur.
Parabola ABC est Z ab. Edeoque B K rectanculum est 2 a b.
 AI = BD= = 0 ErgO BH (L V: BC 9 F A K 9:)
in Yib
2
2
V: 902 + 4 a
it
Ist