# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0134 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0134?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 110, page id 851708439:0134 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=134 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000134.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 65 lines, status machine # Lines: 65 recognised, mean confidence 0.88 # 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. uis Locto coo) Auppels ut par Cnomon 20 249 2+8 (cum Led locis vacuis) pro Cubo racteto 572.. 187 248 287 249248000)... )AC 603396060.. (349C Ec 3899,00. (3AL. gE Gnomion Tum, DOlito A =57 (cum locis va cuis cribus;) Cumpioque F-2. (cum est singulis membris; habebimus 18 Tum, polito A=572.. Sumptoque cubo prius invento subjungenda su deo Ciphra (cum cribus achue Cocis racuis;) pro Cubo racClS 5720 Denigue, Po A=5720 (cum uno loco racuo) Cumptoque L ==0 (nul- la hie subincellecta ciphra) habebieur 28iy 237607580320, pro Cubo radi C1S 51209 Similiterque Fiee in compotitione a liarum Poceltatum, pro cujusque na- non pollet poteltas quaris continua radicis mulciplicatione (locundum recepias mulciplicandi methodos) procreari; E nihil ultra incendererur. Sed lingula mem- bra componentia, hic diltincte provonuncur; ut hine dirisamur, ubi Analy siS in- Riuenda elu qe a inveltisanda. 187 237601 580 329) Cubus. cura, in praemissa Pabula deleripta. Oux non ita incelligenda cunt, quati (cun loca Lac ad Ca) A P De extractione Rachsis Quadraticae. Cubicae, cate ratam Lotestatum. Z Compositione seu Genehi Ouadrari, Cutsi, et exterarum Pocestatum; de Corivanda est carundem Analytis, Resolutio, seu Radicis exractio, Compoli tioni conformis. Id cum (in Numeris) Faciendum est; commodum est distinguere (puta, pun- Etis superne aut interne positis, aue alias) expotitum numerum in sua menibra, pro natura Porestatis resolvendae. Hloc est, Ouadratum in membra duorum lo corum; Cubum, erium; Biquadratum, Ouatuor locorum; et sic deinceps: inicio facto a loco unicarum. Verbi gratia; Guacratum imodo inrentum, sic punctan. dum erit, 3272 86 96 8F: Cubus autem sc, 187 237 601580329. FC quidem, quor tunc (in quaque porestate) hujusmodi Punctationes, seu membra sic punctis distincta; coridem tucurae sune in quaesita Radice tgura. Racio hujus evidens est, ex poteltatum constinitione Capite praecedente tra- 550000. 530000. 25,0000,0000. 5,9600. 225, 9006,00G9,9600 dita. Itam, Polita radice (ut illic) 57209: Ouoniam tipura 5 Post se habet in radice loca guatuor; habicurum elE hujus Ouadratum, Joca post se bis quatuor, hoc est octo; e Cubus, ter quatuor, hoc est duodecim. Guippe numerus 5 cum quatuor ciptris, ductus in 5 cum quatuor Curis, tacit 25 cum ciphris oeto; acque hic itidem in 5 cu similiter ubique. Nempe, quotcunque Dost se habeat ra. dicis tixura quaeris ciptiras, seu loca; bis coridem post se habebit ejusdem qua- dratum; e ter roridem Cubus; ee quater coridem Biguadrarum; e sic deinceps. Atque huie contormes ltacuuntur punctationes. Si ilague ex numero ex polio ziriBSgoBi, extrahenela Ac Radix Guactralica: Cum