# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/85138403X:0110
# Permalink to this reading: https://leibnizlegible.com/page/85138403X:0110?run=74
# 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 94, page id 85138403X:0110
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=85138403X&page=110
# Source image: https://digitale-sammlungen.gwlb.de/content/85138403X/jpgs/default/00000110.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine
# Lines: 44 recognised, mean confidence 0.81
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

Curvarum EODOVOS,
Fiac autem, ut BH9, ad AK 9; (hoc est, ut b. + 4 a B =
ad 4 a2 B=
D2 Sive, ut 90= + 4 a, ad 4 a 2 3) sic BH= = V: 9c
+4a ad R M; qua estisicur-
2
270 + 12 a 0 V: 9b2 + 4 a
Et propterea NH (= BH  A Bt) 
B0
90+ + 4 a V: 9b + 4a
Eiguoniam, ut NH ad A H: (hoC est, nE 902 ad 4 at ;) sic
NM sive B A= a, ad A F. erit AF =
dc2 a F 4 a
Dc2
Adeoque parabola F A R 
FBFI = X8 a b c2 + 8 a b
4 a
9c+ Et FB
16 a+ b
8Tc
Et parabola
8F01 = V: 902 + 4 a. Edeoque parabola sec-
memum AKHB = 28 ab cAt B a b, in V: 9ca + 4 a minus 26 at B
Est autem rectanculum BK =
6
8FC2
Erso Rectanculum BK.
ad parabolae seementum A R FIB; adeoque (ut supra probatum est)
AB recta, ad curvam ACF; ut 27 a c=, ad 9 c= + 4 a, in N:
902 4 4 a. minus 8 a. Duod erat demonstrandum.
Meam denique hanc habe.
FAO A D P parabola recta; cujus lacus rectum dicatuE L.
Adeoque, sumpeis diametris A C, A d, C5c, arichmerice pro-
porcionalibus, quae sigillacim dicaneur d; iplaque A D, D: FrunE
ordinatim applicacae dp  N d L; ip(aque D P = VDL: PC
Parabolae abscissa A d D = 5 d V dL; adeoque ad invicem, ut
d s d, vel vd: Fc d dp rectangula (guae, Cumpris dd parri-
eolis infinice exiouis, quae dicaneur A, parabolarum differen-
ciis aequipollene) A N d E; que itaque sunc ad invicem, uc V d,
Chrcucipsae dp ordinacim- applicaCR;) acque ad parabOlaS (UaS,
UC Add3 d.
Ducatur deinde curra AC F (parabOIX In P OCCUETeNS,) ed
lege
18. 25.