# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0313 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0313?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 293, page id 851387705:0313 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=313 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000313.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 48 lines, status machine # Lines: 48 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. Craristimis Viris, et Machematicis OR Publicis attronomia is, alut Saviliano in Academia Oxoniensi, allero resamensi in Cre- Bamense Lu. Ccom. Prot. AL terc cimilo innoreleit. Nempe Sccltores Conicas (rem reterem) nora mechodo tradit. Erac seilicet Conteorum tradirio Veceribus jam olim coenita, Apollonio Perea recultior, et quidem in mechodum jam tum redacta: ul nec iple ditticetur Apollomus, de aliunde constat: (Nam Archimedes ipse A- Pollonio antGUIOE, Flementa Conica LAPIUS MCMOTAT:) Sed ab Apollonio, (cu jus Conicorum libri quallior lupesuu) u meliorem formam redacta, ee inlieni- ter aucta, (quod in causa Fuisse credimus cur priora illa Elementa Conica pe xierune.) Anciquiores enim illi, Coni solius Recti (quem solum Ruclides defini- rerac) contemplationem aserelli, non aliam videneur iplius sectionem contide rasse quam quae tc a plano quod ipsius laceri alicui rectum Ec; quod propterea in Cono Rectansulo (eo nempe cujus oppolita lacera ansulum in coni verrice rectum comprehendunt) opposito laceri maneret parallelum; in CionO ACutan- Sulo, lateri opposiro occurreret; in Cono autem Obculansulo, ab, eo recederet Atque hinc curras cribus illis sectionibus emergentes, appellabane, Coni Rectan- suli, Coni Rencanguli, e Coni Obculanguli, Sectionem; quibus eclan Homini- bus ulttur Archimedes. Sed e proxierca Conecton lau HOMTMIOUS, 10- De Scaletiao, Ve Mclatas, non alicer traclabant esccant ut Llcclatcu portiones: Vid novi serat (Claristimi Viri) Libellus ille, ab ipso Racim quem prae las erectas incellisebane, non item Scalenas; (ut d Biametri nomine, IOHMI celligebant AXem; e Verticis Sectionis nomine, axis rerricem;) sectiones quiv quod o Pallles LcesHgenau CIIL) SOuS autem, praeter Conum Rectum, etiam Scalenum suITOduxI, (d tortan primus,) e prota Com detinitionem at Fuclide traditam (ue qua Toli recto ConreVaL) I altalt (quae etiam Scalenis conreniac) immucarit. Sed neque tolam illam plani secan- e pontionem (quae coni lacus recte secat, hoc ett, ad angulos rectos) sed aliam quamlibet admisic; adeoque Coni cujustibet (sire recti lire scalcus) sectionett ouamlibet plano utcunque potico factam, considerarit. Adeoque ee sectionum no. mina prius recepta necesse habuit immutare, (quippe e Sectionibus cribus quam- dibet invenit cuilibet cono inelle, prouc planum secans alio atque alio litu po- ficum incelligatur,) quas igitur alii, Coni Rectanguli, Coni Acutanguli, Coni Obculanguli, sectionem, appellaverant; ille Parabolam, Ellipsem, Flyperbolam dicendas roluir: quae nomina ab illius prOD. TF, X2, 23, libri primi, originem duxerunc; atque hactenus a Creometris retinentur. Sed et cidem Sectioni plures Diamerros, inesse voluie, prour hujus illiutre coni sectione facta intelligatur; quarum singulae sibi peculiares habent de vertices, ec Ordinarim applicatas, _ L. a- cera recta. Ac tatendum incerim elt horum etiam non pauca, urur aliis nomini bus, aliis ancea, Palcem Archimedi, innocuisse: hoc tamen diserimine, quod quxe Comi Sectiones (nempe inclinata) ab Apollonio dicuntur, exdene ab Archimede dectionis (erectae) Portiones diei rideantur; (ee Timiliter de Conoidibus:) ut in iptius libro de Rectansuli Coni Sectionis quadracura (cui de quadratura pa rabolae