# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0339 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0339?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 319, page id 851387705:0339 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=339 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000339.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine # Lines: 37 recognised, mean confidence 0.93 # 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. N DM tradita sine in praecedentibus Parabola, LIIIPLIS, atque FTy- Derbola, (quas Conisectiones appellant,) essentialia sympto- mata, ab ipso secto Cono (unde Oricinem iaxisse existimantur desumpta: quae ipsarum naturam absolutam tu interim exponunt, unde continzere possit: Ft quidem undecunque contineat, absolutam earum contemplationem neutiquant Woitutoet. ut sive a Secto Cono sive aliunde genesm sortiantur, eadem natura absoluta eisdem characteribus cusaa esset: Lacebit in sequenius Eacs (sid neas sive freutus) secundum absolutam quam in se habent naturam vonden plari, sine respectu ad senesm habito quae del a Sectione Coni, vel etiam ali- PRO P. ZXI. De Parabola absolute considerata. om sic in Parabola Ouacratum Ordinatim- apPLCala CujusIBEt Ecriptam, lire tigulamt planam, ejulmodi curra terminatam, Puta OAO,) cujus ordinatim applicatarum quadrata unC ItExCEPEIS aa meeris proxortionalia. Rectam vero (imacinariam) quae cum interceptis diametris (tan- quam communis alcicudo) continebit rectangula (ipsis quidem dia- metris interceptis proportionalia) Guadratis illis Ordinatim applica- tarum aequalia, appello Latus Rectum: puta L. A. Ordinatim applicatas vero apvello, (DO, PO,) Semisses parallela- rum rectarum, (OO, O0,) Pacabola utrinque terminatarum (quas Ordinatim inscriptas, vel Ordinatim subtensas appello) una linea recta (Duta ADP, quam appello Diametrum) bilectarum. +(p = 1a) aquale rECLAIMIO GUE MHLCLCEPA= DIAMCErO et L. a tere recto compretienditur, (ut, inspecto Cono supra deprehendimus, PTOD. F2.) Licebit jam Parabolam, eo charactere ornatam, (uo Cono eximere, atque absolure quidem et Oniversaliter detinire. Parabolam isitur appello eam (sire lincam curram in plano de- Punetum autem illud bilectionlo, (D Vet L,) Punctum applicationis appello; ii quo quippe Biametlo ila abplicatur ea quam Ordlinatim- applicatam diximus. lica compreneu (AD LLL,) Damerrum interceptam appCIIO. Punctumque Diametri in curra illa exiltens (puta A) apPCH Verticem. Diametri vero seomentum, puncto applicationis ex curra Parabo-