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. 399

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. p
  2. l L G F B R A.
  3. X a 4f ~+ ∞ d = 2. D d 1 ) D a F2f0 = a3 - vt at: lem (deleris
  4. C aP. LC. V.
  5. B = 5
  6. ris.) FXemp Scalla,
  7. trinque aequalibus, exterisque per =Va aIVLHS) =0] V B a =7 = ba 1 4) VB
  8. = 4 f2 Vha 2 = 2fv = B = v B a = 2f2v3 ∞ = 4 fv3 N a f 203 X a2 =f
  9. 23a = 2fV3 a 2 = 23a3. Denique (Dolico D in V, quo eraneleat a cum luis
  10. mulciplis, CxetCLIque DEI 2) d C) e aeseat 2) B =) d=vh, adeoque
  11. 2B - v = F + B = 3r-
  12. V
  13. Idem succedet, Tumpta, DrO V A, diametro Y A, (cuitangens OcCurrat in ∞)
  14. aliare. Ttem, (I EXPOnEretUT curra qua ordinatas non habear, sed qua his requi-
  15. Polleane; ut lute Spat, crescentes radii.
  16. Sed e calculi magnâ pars praeverti porelt; omistis ab initio (urpote post reji.
  17. bus nec a conlpicuu n I a ducendi (upore aequalibus ulrinque proditu-
  18. ciendis) terminis iis ubi hrabetur a 2 rel superior hujus porestas; iiem iis in qui-
  19. e
  20. E
  21. a(3
  22. In Conchoide, (F 5. 3.) cujus ordinata V M a constat ex sinu recto Y M = 5
  23. =V Vb, et tangente M a = CH = - r, (GLL CD = CA = r, adeogue CL - A5.)
  24. +
  25. Taliem = = e (Potito CP = 5:) adeoque V a = B - 5. f = r - = 5 = = 5. sal.
  26. rem E s = s = = V vB (Potico a f 5 = n.) FrBO D F- = B-
  27. + a
  28. Yob = DO = F Y: vb = 2∞ a -: (omitto a2, quia post delendum, in-
  29. F
  30. deque oriunda, e sic semper:) e, sumpis quadrais,
  31. 52 + 25a vt
  32. n2vb +2n2 N a F 2n v Ba = (hoc est, = supram sed = intea, punctum Rexus
  33. F2. N a -
  34. contrarii.) FL decultatim mulciplicando; omissis (ut praecipitur) f 2 _ 2 n2 vb
  35. utrobique, omnibusque a= mulciplis; exeterisque per = a divilis; 2 fn = v6x 2 -2f.
  36. = V BX = = 2 f2 n 2 ∞ 3 = 2 f2 nV B X 2: adeoque ( polico D in V,) nvBX
  37. =fn vh + fnx2 = Fvh~ = f ur = - fvh~ C propier vB + x 2 = 52 + x=
  38. = r2,) ef.
  39. VB = 5
  40. ar2 - v B 2
  41. In Fisura Fansentium (F1 5. 4.) quae d Conchoide distert, exempro quadrance
  42. Scltore,

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. 399. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851708439:0423?run=74