Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 253

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: 0.78.

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The machine reads it as

  1. D E D F C ACF 10.
  2. ridem LacSg = = 3d = DD. DUTa, S LINE FdusCCS Y, uL I exemplo PHmO,
  3. Peac in negaciram. Puca, quocies punetum D, elt. infra (i, Led Tupra P.)
  4. Vim (eut dain iata . L al Da LL BF V 3M,
  5. Fa rangens,) et AC = = B (deortum quidem si fic. F. _, Surtum vero si n:)
  6. ducatur per G recta, cansenti F a parallela, occurrens curra in puncto (uno,
  7. auc pluribus, pront contiserit,) O; dueta ordinarim auolicata OD. determinabie
  8. aequationis radicem D = r; _ gu S OCcurSuS punCta O pluraSinE, Woeidem
  9. crunt _ puncta D, adeoque Aquarionis cocidem radices postibiles; ZHhrIaLIVX
  10. quae deortum, negatirae quae surtum, rendunE.
  11. TCM) d. d: : + p
  12. a interius) A P
  13. a+8 q (nam 4 superius inquirimus;) adeoque = Aa =
  14. Pa. C = p3. erxo, propier analosiam indieacam, d. -- d 5. + g. . p.. =
  15. == ABC.
  16. Ep = aB. ubi a B est quancicgs negatira, sicuc ip la 3 a = 9, quipre
  17. Qmajor est, hoc catu, quam 3 a.) ejusque cutus 27
  18. =aBc =
  19. 519.
  20. =27 a9 + 0dg =q
  21. 27 a28 27 a 9. L10CCII g. = 9d9 + 54a g = 2
  22. + 5443. Ouae
  23. Tubstiuendo r. F 3 d =g: redueicur ad aequarionem hanc r3. f 27 d:
  24. 5447. Nam
  25. = 27 d
  26. +3aY10) Za + 2d, = 3ave et londemradices q; F 3 d. V 105
  27. 33d, = 2 d, -, 3a VY 105 = 3: d. Ec limilicer in religuis. Vhi, interim nocan-
  28. dum elt, quod hac subductione tieri porest, uc quae fuerat radix actirshatira tran-
  29. Adeoque hujulce aquaTIOnIS calus omnes Lotas cadem opera, hu-
  30. julmodi eltera ove, ethodum oltendimus aGaoeoas hujulce torma
  31. omnes r =mr = =n, Geometrice Colvendi. Nemps sumpra diameiro a AP
  32. Tandem, ut tocum aliquando abfolramus hesorium; Ouoniam jam Facta est
  33. adeoque e punctorum diamerri qua III LOIVOMICaHO. LIDCLL CAM ACII alGa-
  34. E diamelt LCus deortum, pura a P dieatut du turtum erie = L: adeoque LICeE
  35. Lica. d:: p. p. nON LaEN (SUPEIS OTALMALMI aPIKacS M Corariam pas-
  36. d
  37. a Bc. Sca AL. =- A A..
  38. Ais aucem contideratis; eadem mechoco qua ult sctticto (Mlicalio Mllasto)
  39. menrio puncti B, aliorum que similium, in curra B A, etiam Tursum concinuanda;
  40. renuS inCuETI. Diximiisjam supra; SI P a dexirortum sc p, ejutmodi recta A.
  41. nistrortum erit p; adeoque uc illius Chous Y D, Sic hujus L p3; _ propterea.
  42. RcC, non caltl (quoad periuS) AP. AA:: P a c.
  43. (Cd f d. - d.: f p3~SCp3.V FToC elt, LceE RE (quoad
  44. C. ABC.
  45. ad prop. 47. Con. Scct. rem ad aequationem perducemus. Nemipe AP = d. AA =
  46. Sed etiam CAtF P. P a:: 8L. LB. OACHAHIT,) 34. p:: 34
  47. 1
  48. Adeoque (Facta reductione) 27 43 - 27 d29
  49. 3 F 9dr2 = 2742r
  50. 43=
  51. Dar =-544= r - 8+a3=
  52. +54 a2r + 16.
  53. +27 der + 208
  54. 7
  55. d3
  56. =27d8 + 54d
  57. a =27 d 8 = 5443
  58. Atque idem plane eveniet, si punctum B EuetI L CUIEYX AB CONCINVaHONC
  59. Cursum ulira verricem A, (nam, ne nunc ordinatim applicata negatira, nempe
  60. finistrortum, applicatur diametro altirmarira, puca deortum: iia casu ilto, Or-
  61. dinacim applicata altirmacira, hoc elt dexcrortum, applicabitur diametro nesa-
  62. Tira, puca Turtum; applicabitur e upra Vetle N: adeoque urrobique mu
  63. dnterimuter Tuble clne n B 6 a. et MC EVambllad atmatia Cacot.
  64. tum
  65. randa exUnE diaMCERI A A SHa, _ aaBZIa rITO iMILIEaLT:) Cum hOC H

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[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 253. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0273?run=74