# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0320 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0320?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 300, page id 851387705:0320 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=320 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000320.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine # Lines: 35 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. SECTTONTBOS De Trianculis aeque altis. Op. IV Ine sequitur; Friangula Cuper aequalibus basibus a AlLd (MN rectangula sint sire obliquangula, sire item sint aeguierura sire scalena, lire quo o luata) c Cum enim in calculo nulla ansulorum liculre habeatur racio, lea hacto Lo modo de Alticudinis; modo de his constet, constabit etiam de arca Prianouli. Quod autem de Squalitate dictum est, facile potest etiam Proporrienalitait ac- commodari. Ouod e apius deincers erit incelligendum. FIas vero duas de Area Frianguli Propotitiones, non ideo hie inserendas ju- dicari, acli novum quid aur inauditum in se contineant, (quis enim haec nelcic?) sed ue via Sternatur consimili argumentationi in aliis tisuris sire planis live Coli- dis. Si enim aequales sint tam bases quam altitudines, omniaque intermedia (sive Paralleloeramma sive Prismata) eadem ratione vel creseant vel decrescant, aequa- les etiam erunt fsurae, quamvis earum altera erecta sit, altera vel inclinata vel quocunque modo luxata. Nam cum intinitae partes unius intinitis parcibus alterius tigillarim aequencur, (quanquam Forraltis in alio (ILu rePETIANEUT,) crun et agere Bata aequalia. Aique hoc quidem semet et universaliuer monstrallé sulticiat, ne varias dein- ceps propoliciones parriculares, cura neceicatem, mulcipliCaTE COBAI. P R OP. V De Cono. T intinitxe Recta parallelae ex quibus consari supponitur Frian- sulum, tanc toridem Circulorum parallelorum diametri; forma- bitur fgura Colida qui Conus dicitur. Rectaque à Trianguli vertice V (qui _ Coni Vertex CA) ad BasiS BS punctum medium docta, puta YC, (quam Trianculi Diametrum vel Arem libet appeitare,) bisecabit etiam reliquas Frianeuli rectas basI parallelas (torumque criansulum,) adeoque per sinsulorum circulorum parallelorum centra transibit; exitque propterea Avis Coni; Priangu. lunque expositum, VBS, per Arem Conitrantiens, iplum Conum ejus- que parallelos Circulos bisecabit: Circulusque ille cujus diameter est balis Frianguli, Coni basis dicetur. Comis