# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0422 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0422?run=74 # Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2) # Folio 402, page id 851387705:0422 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=422 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000422.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 25 lines, status machine # Lines: 25 recognised, mean confidence 0.91 # 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. tum; (quia 2 = = = X2 = 3.) Si ad serrem Guouo uo oiteen AREPAMETTCA PFOD. L XXXIV. Patet ex L10D. 8F. tum semiparabolae; (quia 2 = 0 = 2.) Et sic in aliis. OP. LXXXIV. rium. YEL P respectivis rectis Trianculi primi AB D C3 secundi AL L, su mantur certiae proporcionales: prodibit Frianeulum tertium ADB: Si respectivis rectis complementi sestopt addu A D B, C Trianeuli AD F, pro- dihit paralleloerammum ADB: Sivero l’arauiammi AD BC Lriancut AD F, prodibit complementum semiparabolae AD B. Seonitur ex praecedente. Ouadrata enim rectarum in Priangulo constimunt Pyramidem. Fc similiter in reliquis. Oltendicur aurem parsprima in figura priori; secunda es terria in potteriori. PROP. IXXXV Corollarium. Gu2 F = Z 0.) St ac arcolletoe micibuno b falum. Exyramidoeides Parabolicum (series nempe Primanorum) ad Trianeu. lum (aeque altum) respective applicetut. prodibit Parallelorrammum: quia 2 = o = X.) Si ad semiparabolam, prodibit semparabola: (quia =3.) Si ad semiparaboloeides cubicale, planum prodiens constabit ex Secundanorum Radicibus Cubicis; (quia X = 3 = 3.) Fit pariter in aliis ejus. modi applicationibus. Patet EX PFOP. BF. R OP.