# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0256 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0256?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 232, page id 851708439:0256 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=256 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000256.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 47 lines, status machine # Lines: 47 recognised, mean confidence 0.74 # 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. LL l. Cc L. B, a 11. _ X = y X xX 8b =0 1X i -=c iX N a CaL. 666a L 180 1y + 8p = 8b +8a. VVX X SbY X Sb∞ X E d Y X 8d X_ X X X X Opa 69b 61 - . 6b +Bd = 8b - 8a Adeoque yy + 3p + 3 = 82B. Et 3y 82P 2 = 8b. ry +.8p - 3 = 82 d. 2Yy 82P = =8d. Taque (cognico valore y) habentur B, d cum suis sienis. Iplaque aequationes quadratica; a v - pX + 9y 8. P 5 = v v - y ~ 8b = 0. a x + r ~ + 2yY 83P = v + p ~ 8a = 0. OBi Zyy semper habet F: de 3p rerinet sienum quod habuerat p: sed g in priori (in qua habetur =y x e b) rerinet quod habuerar lignum; in polteriori (in qua habetur F y x et du) mucat signum. Sic autem invenieur y. Ouonimr + . 13 3i p 82 Vry 8py 84 = 8a +3yγ 8: p 32 WWY BPY 82 -8d. Ereo, horum rectangulum p S2p + pPYY = 92- 508 d = 8r. Hoc ett Y 628) f8873 =44- 64). HOc est y 82p V = pPy y = 99 =0. 8i4r y y Ob1 Y sadet F; 2p retitet Suum quod Lab P. P habet +: 94 habet =; et ar signum concrarium ei quod hrabuit r; in biguadrarica d Hujusque aequationis cubica solurione habetur vatot, ejusque ope, aequationes binae quadrariea, quae uni biquadrariea aequipollent. Ouxe cum Carcesu conveniunt. A P. LVI. De Reca MMC Bartholini, aliisque. quationibus compoticis. Ouas (inper alia le Ia) CdICIE firan- ciseus Sehoorenius (sive Van Schooten) cu abiue monulatione, aut indicata Raeter eam Cartesii Regulam, modo memoratam; ejulmodi plures alias era- didie Johannes FTuddenius (Tive Van FJuade) Belsa, pro diltolvendis Ai mectiodo qua ad eas perremeric. Dua 11