# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0370 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0370?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 350, page id 851387705:0370 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=370 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000370.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine # Lines: 35 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. DE SECTTONTBUS CrOp. l1 3 A P P F N Radidimus, in superioribus, trium illarum (prout vuleo dicuntur) Coni-sectionum, Parabolae, Fllip(eos, atque TErperbolae, doctri- nam succincte satis, sed co interim satis (ni fallor) dilucide. Pa- rumque vel omnes vel praecipuas saltem affectiones vel demonstra- vimus, vel saltem demonstrationum fontes indicavimus; ut inde liceat levi necotio ea omnia deducere, quae loneis ambaeibus, atque perplexo variorum Lemmatum e Demonstrationum intricatarum labore, antehac ostendi consue- verunt. Atque haec omnia brevi admodum alque suecincta methodo tradita sunt; praeseriim si omittantur ea omnia (qua quidem tuto nec incommode omitii posse videantur, quae tota parte prima tradidimus; quae quidem Conum spe- etant, atque illarum ad conum relationem, cum quibus tamen praesens de- Etrina (quanquam secus olim creditum est) nullam habet necessariam con- nexionem; sed simplicius atque universalius tradi Cs potest c3 debet. Sed interim viam simul aperuimus qua Curvarum doctrinam penitius in- eueri atque ulterius promovere facile possimus: (quod e nos fortasse post aliquando, Deo favente facturi sumus, si illud necesse videbitur, atque viris doctis Mathematum peritis labores nostros eratos fore perspiciemus.) Inte- rim specimen aliquod libet apponere, de curvis aliis Parabolae affinibus, qua rum Diametri, Ordinatim applicatae, Latera recta FTanentes, 6. non m nus quam in ipsa Parabola reperiantur. PROP. ZL V. De Paraboloerde Cubrcale. T Parabolocides ita constituatur, ue Ordinatim applicatas habeat in suberiplicata ratione Diamelum interceptarum; (adeoque illaru C ubos diamert et CePEIS PTOPOrtIOnaLCS:) Paraboloeides Cu dicale at Pelett. ginariam, Cusus Guact act t catietue cen anccetum, aequa cur cuba Ordinatum aepcalae. OcM asceo Latus rectum Parabolocidis cubicalis (puta ) appello rectom ima- PROP.