# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0129 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0129?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 105, page id 851708439:0129 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=129 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000129.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 54 lines, status machine # Lines: 54 recognised, mean confidence 0.85 # 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. XXII. A L G F B R A. Labula PRIOR, Ldsta ari A49C AgCC B2 125 625 3225 Hil 1630 25625 78125 65530 390625 216+2967776 46656 279036 1679616 343 2401 16807 227640 823543 576480Y 5124096 32768, 262144 2097152 26777216 729(6564159049 1531442 4782969(43046721) Obi continetur, in columna prima Radix, Latus, seu Numerus (quippe his omnibus nominibus dici contuerit) quousque excendune fisurae norem singula res. In secunda; corundem Ouadratum Census, Cradus sccundus, seu secunda Poceltas, (quae ec simpliciter, Poteltas dicitur.) In tertia; Cubus, Cradus tertius, seu tertia Pocestas. Et sic porro ad Octaram usque. Mcerius, AI ODus lIC, continuanda. Acque hinc Tumas (absque ulteriori molestia) Readicem (Ouadraticam, Cu- bicam, esc.) reso proximam, cujutris numeris cujus radix non plures exisic quam tiguram sinsularem: Ruc etiam cujulris figurae lingularis Poceltarem imperatam; quousque scilicet haec se extendit Pabella. Sed quoniam in majorum numerorum radicibus exquirendis, opus erit id particularim tacere (prour ctiam in Diritionis exercitio Polet ticri:) Radicem ille in sequentibus considerat, quali ex Binis membris constancem, A + F. (quam vocat Radicem Binomiam:) Guorum primum supponic vel jam inveltisatum, vel ope Prioris Pabulae inveltisandum: alterum (achiue isnotum) Posterioris ope Fabula exquirendum. Onam ut construat; Radicem Binomiam in se mulciplicat, ut hrabeatur Ou2- dracum; Hloc irem in Radicem, ut habeatur Cubus; Cubumque in Radicem, uc ha- beatur Ouacratoquadratum. Peu Biquadratum: e sic concinue. Quo constet quacenus utraris pars radicis in Poreltare continetur. Atque sic exponit Genesin Eotestatum a Radive Linoria. 36 40 64 A FC. Kadix. A9 F AF. AF. + F.G l. A9 F 2 AH. f fi. 9. Ouadratum. a Ac = 2 A9F. F LF9 AGF F 2 AF9 F H. C AC + 3 13ACI LC. Cubub. a99. f 3 AcF. 3 AgFg. F AFC ACF F 3 AGFq f 3 AFC + H. cC A99 F 4 ACH. f 6 AgL9 F 4 AC C Y L99. Bignadratum t t Ouo