Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[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, fol. 283

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.75.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. A L G E B R A.
  2. EAODEEM A
  3. Invenire duo trianeula aequierura, ejusdem Area e ambitus; quorumque sin
  4. eula latera perpendicutares sie dini sn nordo an seherum.
  5. Pextumo, utnotum: Duo Frianguli Rectanguli latera sint inter se ut Numerus
  6. ad Numerum; ponenda Tunc, uc Duorum numerorum quadratorum, Summa, Ditte
  7. rentia, ee duplum (ut Laceribus Rectangulum. PUta, aa = bb, aa - bb, 2 ab;
  8. seu tek + d au kl = d dn 2R d. Quapropier ic Donuntur, A. qu. Y, 293; 6,7, 8.
  9. a= 2
  10. 6
  11. TT ve
  12. X=
  13. 13-
  14. 7T4. XF5
  15. 8, C4, 25
  16. ) +)AB(= c) = aa f 3b.:. AB9(= ec) = at = 2. aabb f 3
  17. 2 AD(=f) = 2 ab: AD4(- Ss) = 4 aabb
  18. 3BD (= 5) = aa - bb: BD9(= es =) at -- 2 aabb + B1)
  19. 4 AB. F AD(= e + s) = aa f 3b. + 2. ab = = Ambic.
  20. 5(ADTBD (= (8) = 22b -- 2ab3 = AreK.
  21. SperFie.
  22. 6FC (=)) = kL + ad :: F69(= 11 = v + 2 Redd f d
  23. ZFF (= m) = 2kd: FFI9 (mm) = 4 te k d d
  24. SCFI (= n) = k ad: GFI9 (nn) = P - 2. ka d f a
  25. oFC. F FH(= 7H m) =k t aa + 2td = ; Ambit.
  26. TOFFTX OLL (=mn) = 21 d - 2 kd = AreX.
  27. T2 aa. = Bb + 2 ab = k = dd + 2X d
  28. 122a3b - 2ab = 2. ked - 2. keas 5 Per Pcobl.
  29. 13a + B = k F d
  30. 14 2. = _ = R: aa. = 2 ar F ~x = kR
  31. 25b = N = d: bb - 2b∞ + X X = adt
  32. 26FLI (= 214)-2ab 2ax + 2B∞ - 2~X
  33. +rGFH(= bk- ad) = aa BB + 2ax L 2B∞
  34. e pec His.
  35. 26n 27, 18F FCH = 2a2-22 + 6a B ~- 6aax X 2ab + 6abb r. - 2b. r + 6bb. X. V
  36. 70, 12
  37. = 4 a43 - 4b∞3 = (242 a - 2ka = ) 2 a b - 2ab.
  38. 12 - 18 (c9 aav f qbe + baata 60ba v. + 2a v. + 2b. 1. - 6aabs. - 6abb 1. = 0
  39. 19-:: + ax. + 4b4 20 ~X + 3as = 3b X + :aa - 2ab + : bb =0
  40. 20 = (2T ~~ + 3aX 3b2 = 3aa t 2ab- .bb. Erso (complendo Ouactratum)
  41. ea T4 ab f. bb
  42. 22 vo sesta + ; a - 1b = LY ac + 14 ab. +bb = V. na + 24 ab + bb:
  43. NN2
  44. Sniver.

Cite

[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, fol. 283. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851708439:0307?run=74