# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0278 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0278?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 254, page id 851708439:0278 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=278 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000278.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 64 lines, status machine # Lines: 64 recognised, mean confidence 0.86 # 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. AE C F 830, 3260, 50979474. F, 390 33 28, 6568 6272 + 248C 52,6657 212, 4627 29685 4 AC 2 XI Resid. vis esid. E Di Ablac. Retid. Diris. Ablat. Resid. Diris. AbIac. = 42, 29257 4F. Hlabetur (hac inquisirione) ec = +2. 7564, 4179,4480,744) Adeoque Flujulque radix, 42. EL PrOpteream aa (= = e0) = 6. 3782, 2089, 7240, 372 E Proxime. a = 2. 5255, 1398, 6744, 258 26a = 40, 4082, 2378,7906,528 a a a =-- 76, 2082,8608,6524,432 16a = a a a = 24. 2999, 3770, 1382,096 = 27b -866. 43. Elabet haec aequario Cubica omnino ires Dadlices: Onam Necarivam =- 4. 707634: (quam jam seponimus, urpore Aftirmatiras inquirentes:) Ft AFirmaciras duas, b = 1. 738481, e b = 2, 969753, proxime. 44. Farum una reperitur inutilis. Ouixpe, cum lic a a = 6. 37822.1, adeoque B0 = (16 = 42) =: 9. 622779: Si FCB = 2. 73848L; erit 0 = ( - 9. 621779 2. 738487 5. 5345893: adeoque 05 = 30. 6316763. Ouod Fieri non Potest; PrOpier CC = 18 = ab, minorem quam 18. 45. Restat igitur ut ex cribus (aequationis cubicx) radicibus, praesenti competat negorio haec unica, B == 2. 969253 proxime. Fadem ipla nimirum quam (absque hac aequatione cubica) suppeditat 53r. Sed hac libuit ria procedere, ut hinc osten- dam, aequationem istiumodi, utue svem Facere rideatur plurium respontorum (Propter plures radices) reaple camen unicam extribere, cum radices reliquae sint inuciles. Ouod iptum in aliis item casibus evenire solet, ubi altior aequatio acti- ec interior. 46. Cum iraque hic sic iptius b rator ille, qui praesenti convenic occationi: li bet hanc radticem ulterius prolequi (simili exiractione) ad majorem adhue accu- rationem. Aquatio icaque jam contideranda, haec est, euta, C b - B3 = 1 Potitisque radieis quaerendae memibris A F P. = B; Sic procedic opus. Relolvendum; 24. 293, 337, 701, 382, 80b, (2. 360, 152, 762 Divitor + 16 Ablac. 26 Retid. = 1. 2.8C 848, Ablat .089.