# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0543 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0543?run=74 # Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis (shelfmarks Leibn. Marg. 100:1/2, Stück 2; Leibn. Marg. 100:1/2) # Folio 519, page id 851708439:0543 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=543 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000543.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 90 lines, status machine # Lines: 90 recognised, mean confidence 0.84 # 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. Cap. IV. PAR TES AELOUOTF. Hauces Oua.) Aporesata Divilorum. OTATOTUM. 367 37 37G 383 389 397 402 409 475 427 43 43 43G 44 44 452 46L 463 46 47 487 4DF 135037 == 7X TOFXTOF 139503 =3X7X7XL3X7 F44OZT = 3X6TX787 247073 76769+ = 3255897 27598=- 13XL3537 186793 =7x67X397 187923 =3X37X1695 193T6Z== 3X3LX3FXC) 196075 213083 =13X37X443 214833 == 3X T9X3769 218557 == 29XT1503 22992T = 43 X 5347 237657 == ZX7XFT317 247573 = 37X6529 490 l 2495OT == 3X7 X 1O9XTOO Manifectum aurem est, ipso intuieu, quod (modo intra limites hujus Tabcllae regotio. Ouo- niam mulci ex numeris primis (inter ABGregata) non niSI (EMEL COMPATENE. VF POtc, 5, 293 72, 89, 10E, 139, T92, 307, 331, 397,409, 443, 572, 637, 709, 727. 733,757, 2873 829, 883, 9T2, 992, 1063, 2087, 2327, 2472, 2693, 1699, 2723. 1783, 1801, 2053, 2083, 2143, 2801, 3019, 3769, 3193, 3221, 3542, 3572, 3667, 3769, 3852, 4603, 4733, 5207,5173,5233,5347,5419,6529,657737789,8022 8F9F, 8269, 9967, 70303, F2327, 17503, 23267, 13537, 14402, 26652, 17293, 29442, 29535, 21673, 23029, 2457F, 28057, 30203, 3094T, 55897, 5922.1, 86243, 8874F, F3107E, 247073, 296693. Alii bis tancum (HOn tEE,) VIpOtC 23. 79, 367, 499; 2093. Adeoque nulla compositione (incra hos limites) postunt conticere Cubum. Fe propterea Ouadrati omnes, quos hi respiciunt, rejiciendi sunc, ut hric inuciles. Nimirum Quadrati nUMerOruM 32, 64, 256, 27, 81, 243, 25, 125, 625, 493 343, 2407, 121, 169, 27, 289, 361, 23, 32, 42, 43, 53, 59,71, 73,83,89,97,221, 203, 109, 123, 127, F3E, 139, 149, 252, 257, 267,273, 279, T8E, 293, 297, 299, 223, 227, 233, 239, 241, 252, 257, 272, 277, 282, 283, 293. 307, 322, 327333233373347, 349, 353, 359, 3673 379,383, 389, 397, 402, 409. 4T9, 422, 432,4.333443, 449, 457, 462, 463, 467, 479, 487,492. (Ec quadratus numesi F, estad hanc rem nullius usus; quia mulciplicatione per L, nulla Hc alreratio.) Atque, his sepositis, seponendi item erune Ouadrati nUICTOruM F28, 9, F3, 47 6F, 79, 229, 269: Ononiam, in illis qui (post ante sepolitos) jam Cir- verlunt, 43 non nisi lemel occurrit; e 27, 67, 97, 25F, non nisi bis. RE, his le- Potitis, sevonendi item erune Ouactrati MUIMETOTUIM X37, 2TL, 3F3; quoniam, in Sic relictis; 37, 18F, non nili bis OCCUEUnE. Et (SepOtItO Ou. Z37) seponendi CTUNE quadratI NUIETOruM 16, 373; propter 73 non nisi bis OCCurrentem. Adeoque jam pauci supersunt considerandi. Nimirum quacrati numeroruM 2 438, 3,5, 7 2F, 19, 29, 3767, 207,163, 292, 263, 439, 490. Ouis cum Aogre Bacis luis, sic se habetr. 25T7LT = 7 X2T673 258007 = 3X3+X1699 164203 -- 7X23029 277663 == 3X5922.L 20205T =97X 2083 209307 =-3X779967 TT 7XT9 79(3X227 29]2326 67 3X77. 67 3X7X7X3 3X79 207l 7X73X127 263(3X7XF9X6 1927 2 23a 25432 263,7X7X 13X 20G 439 3X3EX3FX67 499(3X7 XTOOX70G