# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0329 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0329?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 309, page id 851387705:0329 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=329 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000329.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine # Lines: 39 recognised, mean confidence 0.92 # 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. e N IC PROP. XI De Cuneo Parabolico. CF d et libet hoc subjungere de Prramidocide Parabolico. (in Cono) Rectangula B DS aequalia lunt Ouadratis DO: Si oi- nes recta BD ducantur in omnes DS, (hoc cA, s super La n APB, erigatur Prilua Cusuo al A3, Vel 13,) henc intinita numero Parallelosramma B D S aequalia cotidem Ouacratis DO: Hoc es, Prramidocides Parabolicum (cujus basis SE Ouadratum PO) aquatur Cuneo seu Prismati A P BS, (quem Cuneum Parabolicum libet appellare.) Omnia enim BDS rectancula in Cuneo (ips BPS P2. rallela) sunc ipla rectangula BDS in Cono desienata. Ideoque et torum toti aequatur, et quidem segmenta illius analosis sesmentis hujus. Incellixendum aurem est, Alcicudinem Cunei (perpendiculari ab aeie AS ad oppolicam basin B P S demicta aestimandam) eandem ele debere acque Alricu- dinem Conoideos. PROP. XIT. De Parabolae Latere. Recto. Anitestum est, (per ea quae dicta sunt) datis rectis DB, DS Vt hoc est, DB, AS; dari etiam DO (ordinatim applicatam ad diametri punctum D) ue quae est inter illas media proportionalis: AC non contra; Nam e manifestum est, mensuras illas prOrTIS extra- neas esse (extra Parabolae planum constitutas) ex ommino accident rias, (non minus quam, in mulciplicatione, numeri Factores ad nu- merum Factum, qui ab aliis etiam Factoribus, infinitis modis raria- tis, produci postit:) Portunt enim binx rectae DB, DS, infinitis mo- dis rariari, iisdem interim manentibus tam Diametro Parabola quam ad illam ordinatim applicatis; (l nempe qua ratione angetur vel di- minuitur PS vel AS, latus Paralleloerammi APS, cadem e contra minuatur vel augeatur PB latus criansuli AP B.) Ouod quidem cousque verum est ut quaelibet Parabola cuilibet Cono accommodari POsTIE: (quod mox, ex abundanti, demonstrabimus.) Ne isitur nulla sic determinata mentura, lineis ad iplam Parabo lam peculiariter pertinentibus exprimenda, qua ordinatim- applicata- rum maxnicudo explicetur: LOc0 rectacum DB, DS, hoc eAt D AS. (quarum