# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0200 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0200?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 176, page id 851708439:0200 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=200 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000200.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 57 lines, status machine # Lines: 57 recognised, mean confidence 0.76 # 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. A L C F B R A. C ap. XF III. Adeoque ecc + 3Bec + 3Bbc = bbb = = a aa 3 = - sCC, =3bec - 6bbc 366b = - 3b44 Fit eec -3bbe = = 000 + 2666. Cujus radix o = a - b. Oux pocest esse AAirmatira aut Pegatira, prout a aue B major est: Vel SI X aequalis, radix craneseit. (Idemque alibi incellisas, ubi tale quid occurrit.) Adeo que, cum politionum altera protert Negatiram, proteret altera ACirmatiram. Car- celius autem, dum hujusmodi binarum positionum alteram adhibet, reliquam (ut- uc non minus urilem) neglisit; nusquam habet seinam. ib ai IV. Aquatio aaa + 3ba a + 4d a = + 50C, 1 oii cp Potito a = e - b, y 31 301 Adeoque Fecc = 3beC = 3BbC = bbB = = a a a) Fit = 3bec = 6bbc = 3bbb = = 3baa = = 6c6. + ade - dab = + d da d ab V. Aquatio a∞4 = 3b a a = d d a = - 565, Adeoque -cec = 3bec = 3bb0 + bbb = = a aa) =3bec + 6bbc - 3bbb = = 3baa = = - 566, dde + ddb = d d a eee = 3bB0 = + c5c. Cujus radix e = b - a. Vel Polito adc - 2bbb +d +b a = e +b, Adeoque + eec + 3bec + 3bb0 + bbb = + aa a) Fit 91dB1) + eec - 3bb0 = + ccc. Cujus radix e= a = B. adc = 2666 POFitO a =b - e Fit 0 -3bec - 6bbc - 366b = - 3baa =- = 666, adc + d db = + dda) eec = 3bbe = - 66c. Cujus radix e = a - b. da c = 266b d ab. VI. Aquatio a aa = 3Baa - a d a = F CCC, POGtO a = c - b, Adeoque + ecc = 3b ec = 3bbe - bbb = + a aa7 + 3bec -6bb c + 3bbb = + 3baa = = CCCy ad c + dab =- ada ee0- 3bb0 = +c0c. Cujusradix e = a. + b. ddc - 266b dab VII. A quacio 2a a = 3b a a = 2 2a = - 566, Potito a = b - c, Adeoque = eec = 3bC0 = 3bb0 = BBB = F a 4 7 3600 + 6bbc - 3bbb - - 36a f = - 666, ade - dab = - d d a) Fit 10 cop 1 De