# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0405 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0405?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 381, page id 851708439:0405 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=405 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000405.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 57 lines, status machine # Lines: 57 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. Cap. XC. A L O.F _ C rum Affectarum. Aequationum. VIIx Series, e qusde saut emoraris abstrutiores, qua conspicienda uo Leccetoni Rpiltolis: Aliaeque innumerae limili methodo ex ded ec aliam habet mecodum P. Xirahendi Radices (sire in Numeris, sire in Spe. ciebus, cum Simplicium cum AHectatum Quationum; dirersam ab ea qua utuneur Vieta Ouchtredus, TCarriotus, aligue. Onam ut pociorem hie adhibet, quoniam ita Sexies Intinitae celerius Conrergunt; quam in eis per Dirisionem, aue receptio. Ex eildem quali principiis quibus nicitur proceltis ille quo mor ego in Commer- Sumpto uno Membro quaa Magnicudinis sic ut magis expedire videbitur (nam vatsetati loctsC,) quod appellemus 2; inrenimus (procellu Qualtionis MaTUEX CongruO) hoc (linon lic qualico aequale) vel julto Majus else vel justo Minus. Si lic; elto ille sire excellus live defectus F B: cujus limili procettu qua rimus magutuem. Acque si adhuc tueric aliquis exceltus aut detectus; esto Duo qua exhibet ille exempla, sune alcerum in Numeris, alterum in Specie BIIS. In priori; Radicem LLLHALIONIS p3L 2y5 =0, invenit = 2,00455+d in posteriori; Radicem Aslarionis y + a ry + aay - n -2a =0, invelue Nova Methodus extrahendi Radices tum Simplicium eildem principiis deduci poterunt. rem Radlicum Extractionem. cio Epistolico, FpilL. 27, 29; pro solvendo limili problemate. Nimirum, hoc modo; 11 FC; e lC POrIO. a F3F N 12 aa 16384 a 0. 5092 0, 06. 1rF X, 2 c11. F 6. F O, quiidc O olii 1BEC 1un er didnd ssili c Summi 0,06 Summe f0,00+ 6700 F 2720060000.1111 6300544.652. 6514 et lPet F 0, 00FH 0,039. + +0,06+ + x2, 239+6,341q 0, 0000062 0, 00Or et 0,000642 +11, 2 + 0,00018370,068 49,00054tc 11 10 3ic C WdeESISI Sets) Oeis Ell L1IGEI. I CEIA LI MLSIAE sB .) A er. M Bb B) 3 7 e is (qi ShlEI ediB C): Ota CoVIG olli