# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0847 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0847?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 823, page id 851708439:0847 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=847 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000847.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 58 lines, status machine # Lines: 58 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. e I SFOF YCV M. Nuisa isicur illi necessicas inerat cam varie s illas crborum copulationes int plicare, nili quod tucatas luas Toluriones et ex daris deductas maris latere volue. ric; melius tuiller equidem vel de his omnino recicere, vel aliquas novas ee dd- carum non mulciplices praestare, praesereim cum invencu Facillimae (ine, quales CunE quae sequuntur etiam ab iplo Lrenan Prorehientes; ee in quibus a termini nul- lam habent CommuneM menTuraM. Cuboret RdactS. 27 + 30 = 26 + 30 +0 = 2 3c1 4 + 54 22. = 5+ 30 -f 67 = 57 sE 60 = 2 L 59 42 = 69 = 56 - 62 17 10 303 76 = 48 69 15 + 80 = 54. F 7T 5F + 82 = 64 + 75 Non convenit ixitur ue in his minutistimis rebus, quae rix in parrulis laudem 2ligNam DFOMEFCTENEuE, vires Luas probacas esse jacticer, lin minus non est quod Aclanteos aulus aggrediatur. Caterum declinalle mihi ridetur a solutione horum problemacum in quibus nulla est ambisuitas cirea mIerOS intesroS scu tractos; nempe, Datum numerum cubum in duos cubos rationales dividere; _ Datum nu- merum ex duobus cubis compolicum, ut 28, in duos alios cubos rationales divi- dere. In quibus latis apparet numeros intesros non polle quae litis semper Catis- tacere, et idcirco Fractos etiam elte adhibendos. FxC sunt, Vir Nobilistime: quae mihi modo in mentem venerunt cires solu. tiones Wallisii ad Fermatii quaestiones numericas, e qua de his censean. OUxe quidem nullo modo scribere luscepissem, nili ad obtemperandum cuis mandatis, ad quae me temper paracistimum invenies. Vale. Sir, E PFSTOL A XXVII. D. Vicecomitis Brouneber, ad D. Kenelmum Dieby. aBout a Formiehe or chree weels tince, L received vours ol che 6. OF Febr. L whererich zou vere plealed to honour me; For utich L most humbly Thank rou. And vesterday L met with vOUES oF 26 Febr. 1657 1 DF. Walbis- Wrhich rich che incloled trom Mounl. Frenicte (accordins to the liberey rou oire Me) Phare peruled; and do chereby perceire chat che last letter trom Dr. Wallis Rpist. 17. 18. ) ot a date L chink noc mucti lacer chanmine, irhich had chc 800d forcune co kils rour hands; hach noc been ver reccired (choustr, in ihe ablence ot NIT. White, DE. Farrar undercook c0 send ic lately.) P’or ochervise Pam contident Monnl. Frenicte hact omitted che orcacest part at lealt, oF whrac he hach been pleased co lay in boch chole papers: Because chat pretenis you a very calie, plain, ud cercain method tor the lolrins otchat Probleme in Incegers. F’or (nocvich. Ctandins chat Monn(. Frenicte is plealed 10 Pay, (F pist. 26.) Cum in D. Frenictis eouseulo Lacino dentur quadrati ad sineulos numeros non quadratos usque ad 250, ipse illos producat usque ad 200: vel si non vacat tot numeros perquirere, in sequenti tantum 151, ne dieam 323, qui quidem forsitan vires ejus excederet, se se exerceat Vir Clarissimus: alias, ScC.) Wichin ihe (pace oF an hour or wo ac molt chis mornins, accordins co the method cherein delivered, L Found Fhat 373X(7270685, -- T. =O+26862368. and cheretore hat 373X (2 X 7170685 + 126862368 = 2829380158564160, + 1. = 32188120829134549. Wtich L choustretir 1o pre. Tent