# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0395 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0395?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 371, page id 851708439:0395 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=395 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000395.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine # Lines: 50 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. XCII. A L G F B R A. Exemplum V. Ad cundem modum Formentur Pocestates Simplices: Puta Super. Solidum seu Porestas quinta, ipsius d F e. FToc est, d F el3, Teu d F el Z. Ntam D = d. d) e (d. m = 5. n = L. A (= ~ =) = a. B (= = A&) = 5 a c. C = 20 d ec. D = 10a40. F. = 5d e. F = e3. (= = 5 F 8) =0 Hocest, f ∞ 3 = 25 +5 drc + 20d ec + 20ade + 5de + C. Exemplum VI. Imo de nuda Divisio (sire simplex sive reperita) per candem Regulam perficietur. Vt,; Hoc est a + et , vel d. + e) =. Nam tum P = d. a) e (2. m = - 1. n = 2. A(= X = + = 2) = a : seu =. BC- 48 = = E2 , n =) = =. EF similiter C. = . D = =. _c. Hoc CM; e + c. d F C d ad Exemplum VII. Similicer a. F et 3. Hoc est; Unitas cer divisa per d f c. Seu per Cubum iptiu d. F C: Est - - 36 a 6ec 10C + dec a3 a Exemplum VIII. FC N x d F et HoC ett, N diritum per Radicem Cubi. ee 24 c: d3 343 0d3 81 4is c 5 cam iptius a + c. FAt N: X - Exemplumi LX. FF N xd f et 3. HOC ell, N diritum per Radicem SuPer. 3C, 12CC 52C3 + _c. EAt N in: Exper eandem Regulam poltumus tam in Numeris, quam speciebus, peragere Generationem Pocestatum; Divitionem per Poreltates, aut per quancitates Radica. les; et Fxtractionem Radicum superiorum Pocestarum; de similia. C A P. Fujus Applicatio ad Circuuns Ls. OAquam invenimus (ue in superiore Capite) in Serie aliqua (terminata vel incerminata) valorem nius calium Guatcatum: LOLIUS, ex Colle. ctione talium Serierum, illarum Agoresarum invenire (per Arichmetieam Intinicorum supra dectacacam, ) auc Aream quam illa repraesencant: P odem modo quo supra in Diritione factum est. Exempli sratia. Inrenire A8. Gregatum Radicum nirersaliun Seriei supra memorata, V: RR. 66. quX TunE ut DF. ordinata in Ouadrance Circuli rel F. Iip (EOS, incipiendo d Centro. Omilla Incerpolatione Seriei, 13 37 25) 2023943 CCc. (quae Tupra cradtira ell, pro incermedio ter.