# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0665 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0665?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 645, page id 851387705:0665 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=665 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000665.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 47 lines, status machine # Lines: 47 recognised, mean confidence 0.87 # 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. it praeto nait 31IS I entre Cravitatis D F F IN Concinuum quodvis (secundum Cavallerio Semetriam anduorsibilium) intelle eitur, ex Indivisibilibus numero insun constare, Momenris, TCplo Cc. T, ex intinicis Punctis, Linca; Superticies, ex intinitis Lineis; de ex intiniris numero Superticiebus, Solidum: Trem ex intinitis temporis rum, a Tract. de Co. Scll.) ex particulis Hlomogeneis, infinite exigutsu o intnicIS; Ldque (uc plurimum) secundum unam talcem dimensionem aequalibus. Dera, Linea, ex intiniris punctis, HOC et LICOLIS imtnIte exIGuIS, Consitu. F18. 8F. dine aequalibus, vel aeque altis; quarum cujusris lonsiendo ret alciendo sV E (pars intinicelima) lonsicudinis vel alcicndinis corius lnca. FIOc cA; (ut nos idem explicamus in nostra Arithmetica Intinito ig. 8. Fig. 84 Ag. BC 81 Irem, Supeticles Ex intinutis sineis sive rectis sire curris paralletis; hoc estus fje Superticieculis (lineis illis interjectis) aeque altis, quarum cujulris alticudo sic in Finicesima pars cotius alticudinis; aur etiam ex punctis (quibus illae linex intessi guncur constare) hoc est ex superticisculis aequalibus ee similibus, quarum cujus. vis magnitudo lit ∞ tocius arca. Trem; Solidum, ex intinitis numero superticicbus, hoc est Colidutis aeque alrio sive aeque crastis, quorum cujutris alcicudo rel cractiries sic e torius; vel, lineis numero intinitis (ex quibus incelliguntur illa Superticies constare) puta ex toy. dem Prismaris, sicu parallelis, quorum bales (communi plano lectorum ad ca recto) timiles sint de aequales, quarum magniiudo sic so iltius quo lceaneur plani; vel etiam, ex punctis (quibus illae linea incelliguncur conltare) hoc est Colicusis exiguis, aequalibus, quorum singulorum magnicudo incelligatur e torius. Ouxe quidem Lineolae, Superticieculae, Solidula, _c. rariis modis disposica in- rellisi solent, prone constructori rideatur expedire. Exempli gratia: Circulus 83. 84. dicetur, hoc lensu, ex intinitis numero rectis parallelis constare, ad eandem unam F is. 84. aliquam diametrum ordinatim applicatis; hoc cst, Parallelosrammis aeque alcis: Vel ex intinitis numero Circumterentiis concentricis; hoc elt, annulis aque crassIs: F18. 83 Vel ex intinicis numero radiis; hoc cst, sectoribus, rel triangulis similibus, ecc. F18. 85. Et Sphaera similiter, sive ex infinitis numero planis aque craltis; sive ex tocidem superticiebus Spharieis concentricis; sire ex intinuis numero sectoribus sphaericis, aur pyramidulis, dec Dieo tamen, uc plarimum, ica tieri, uc illa parriculae secundum unam lalenr MI m m m 3 aitiem.