# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0581 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0581?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 557, page id 851708439:0581 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=581 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000581.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 57 lines, status machine # Lines: 57 recognised, mean confidence 0.81 # 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. A N GUL AR FB IS. 23. Or subtensa areus Duxli, ad subtensam Fript: su subiensa Duadrupti ad Aegreeatum subtensarum simpli (quintante minoris) e duincupti. iec D - 2 R4A = Ac 3RqA- AC 24. Sed C - R9 C R9 6R99A4 -5 R9H99 L Aec Y: 4 R 4 = A g. Similicer, B = f Y. 4R9- A9. adeoque Rc9 BA = = 2 Y: 4 R4 Ag L LPTOPteTCA CD. BA - BF. - 5R49A9- 5R9A99 + AcC RC9 4R9 - A9. FF (dividendo per B = p Y: +R4-- Ag. veringue) 5R99A - 5RgAC + Acq F SRggF = sRGF C +. FCG. ut prius. R99 R44 25. Vel sic idem COMpULMUS. Ouoniam B A uf B F = C D = 6R99A9. - 5R9 A94 + ACC RC9 urinque) eric CD -629 A- sRgne + AcA = A + F. F, 349 A- sRgAe + Aeq =F. UE priuS. R99 R94 26. Vel Sic. Ouoniam B A F BF = C. D; adeoque = C = A F F. Trem D = 2R4A = A RC R9 ;tacit Et SRg9A = 5 RgAC + ACA =F. ut prius. R94 R99 =2R4 - A9 RG 23. Sin arcus quincuplandus sic Ouintanscircumterentiae; (aut etiam duo plu- retre quintantes;) Et, consequenter, arcus quincuplus sic incegra Rerolutio (aut. plures inccsrae Reroluciones:) Subienta Ouincupli eranelcet, vel nihilo aequa BituE. 28. Adeoque, hoc casiu, 5 R9gA - , RgAC F ACG = F = 0. FL SRGG A = sRGAC R99 = AC9 =O. EFSR99 -5R gA9 F A 99 = 0. Scu5 R99 = 5 R9A9 - A99. A99 SRA4 A99 R4 R R9. Ouxe est Quadrarica A: qua- iio, cujus Radix et =2, e Coefficiens medii cermini 5 R, et Ouauvicas abso. Iuta 5R4. 29. Ergo (Resolrendo hane Aquationem) Z R = V: ZR 9 = 5R9: = ER LYZR9 -3 VER- 30. Cujus squationis ambiguae, Minor Radix est hic elixenda; (ut post pa. cebic.) HHoc eA S= RG = A9. Adeoque RY S = V = (= R V: Y2 ~Y5 = 1:) =A, Eubrenta Ouincantis. Hoc Ct 37. Ractius ductas in V aequatur dubtensa mao sedt eta duum 72. 2 32. Idem