# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0357 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0357?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 337, page id 851387705:0357 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=357 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000357.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine # Lines: 44 recognised, mean confidence 0.85 # 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. PFOD. XXXIII. C ON LCFS. Diametrum, Diametros interceptas, erticem dinatim- positas. Ordina- tim inscribtas. Ordinatim applicatas, atque Punctum applicationis; eodem sensu hic accipio quo iidem supra de Parabola d Ellip usus sum. Rectam nota l insionitam, (lineam puca imagual qua cum in- tercepeis diametris, binorum rectansulorum illa COnTinEE qua sunt ipsis diametris interceptis proporcionalia,) appello Latus Rectum. Rectam vero alteram, qua nota + designatur, (quam quidem suxponimus Diame. tri supra verticem continua- tionem, rerlus conrexam curra partem ductam; quae que ita se habet ad L aCuS- FC- ctum uc diamecrorum inter- ceptarum quadrata ad bino. rum Rectangulorum illa qua quadratis illis funt ProPor- tionalia:) Diametrum trans- versam axpello, (ut qua Op- pohtis Oppolicarum Frver- bolarum vertices conjunsit, ut pon dicetur;) ejulque pun- ctum medium, (quod qui dem extra Fyperbolam jacer, sed inter Hypet Dolas Oxpositas, ut post parebit) appello Centrum. TEyperbolam a nobis definitam eaniem esse cum illa quam desinit Apollonius, simili sere proerettu ostendemus, acque supia de Pacadola L Etuls DEOP. 21, _ 26. Hyperbolae nempe,: (qualem definit Apollamus Cb. . L. IP. 22.) Se. ctione coni facta, univertaliter convenire detinicionem a obls propolucam; jam Probacum cAt prOP. 27, e 20. Contra vero, Hyperbolam à notiis de (exiptam ita Cono aptari posse, ut eas ha- beac conditiones quas poltular Fyperbola Apolloniana; sic probatur; isC) sIVit CdsrajeE esleret EEXE s u SIt Subi tiiESSit B CEBCICI 135: 2311p3eit: rier t 3 3L C1S TEciL IO AITLSSSEIOS estilLO SierI :set) Exponac Lyperbola quaelibet a nobls deliulla ac, cujus Ordinacim applca cacum qualilala hine a+, d. Db hade CBB ia t potetal aptari Polte. 351IS1 Ducacue