# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0421 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0421?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 397, page id 851708439:0421 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=421 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000421.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 104 lines, status machine # Lines: 104 recognised, mean confidence 0.75 # 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. A L. G F. B R A. = ∞ a a a - = 56a a a = 2680a a + 20+60a == 40320. (Oux, potico Circuli Racio = 2, Arcum Ouacrantalem exhibet.) a Imprimis eruacur Latus primum Cinsulare, methodo rel Lietaea rel quaris alia: c (ut eriam 2d sibicum sumatuE, mox corrigendum.) Sit 2 = e. Oxeratione secundum Canonem peracta, emerBent pro Dividendo, 6288. 0 (0. 4 = x prima. Dro Divisore, 14080. a Oux quidem x, Addacur rel Subducatur (prour exigit signum f ret -) Cpriori numero 2, tietque 2. 4 = g nOVX. cc a Cum qua eadem repetatur operatio; provenientque pro Dividendo, 23008.0000 (.067= N Secunda. Pro Divisore, 87T. 8336 as Indeque 2. 467 = 8 certix. Lc, reiterato procestu, Pro Dividendo, 72833. 3.... . . (. 0004788 = N tertia. DrO Divisore, 6. 14463T787921 a Indeque 2. 4674788 =g quarrae, seu (si ulcerius procedere non libet) = a. a (Cujus radix quadratica F. 57OB2F, RquatUIE APCUI.) a Tnhacmechodo; altumpro quocunque numero = e primae, seu primo lateri ae singulari, ad reram tandem radicem converser, (sed eo celerius, quo lumitur vero ae provior;) quod in libro meo demonstratum est. a Subjunguncue item Canones Directorii, Theorematis conficiendis inservientes, a (expeditioris praxeos gratia,) in quoque Aquationum genere. In quibus, C0. ajumna vrior, Fheorematis Dividendum continet; Polterior Divisorem. Sed DI cc videndo addendus est Numerus absolurus, ee mutanda tune signa (propter ae pranspositionem) Sequencium membrorum Diridendi, (Sed non item Diriloris) c in concraria eorum quae sunt in squarione. Si termini aliqui in Aiquatione desunt; correspondences termini in Canone omit. a pendi exune, (uipote qui nihilo aequantur.) a Si vel in Dividendo vel Diritore, partes Negatira A Ctirmacivis praevaleant a poltunt (sed id necesse non est) mutari ligna omnia cum Dividendi cum Divi a Foris, quo praeraleant aftirmatirx. cc Subjecti Canones, hi Cunt. Pro Oundraricis. Pro Cubicis. 188 2685.4. e2o Biquadracieis. 8855 1965) 050 550 Cap. XCV. 58 35,5 1. 85886650000 188888568888 ProPoreHaLC SexCL. e d Pro pocaltale seprima. 88888857888888 390000665000 18585 1555 4885 98 (88358 a383e BEe PTO POTEHAEE HOn2. 588888838 958356688 88888888808888888 70838888 5888888 4888888 50500 adc 588 503858 Pro porestare Duinca. 30588 58888) 558 68 a 68e88 1565 Proporestare Octava. 4 600 3588 885000000550005) 68888888 7b888888 (888888 6088585 498883 8888 1588 t83 ProPorectare Decima. 5885888005 10888888888 b888885588 558588888 8858588 888588 8888 888 88 MSE 9b88888883 86883883 6488855 5. +58583X. +.B888 il 2BC 14885565 67358853 565888 +L888 38