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. 920

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: 0.85.

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

The machine reads it as

  1. DeCalculo Centri Cradicais. Cidp. V.
  2. Fie. 220, in B. Ex similier in exteris ulque ad =
  3. B= 1 +C += +C
  4. Sic. in B.
  5. Vel, posito A == T, (quo iptius potestates omnes deleantur, B in, T = a f a2
  6. = a3_c. P F B in, F + 2 a + 4 a2 + 8a3 _c. Et B in, T + 3a = 9a + 27a3
  7. Sc. Fx sic deinceps usque ad B in, L = C. = C2 + C.3 dc.
  8. Frune erpo, omnes sh
  9. (spatium CSHI complen.
  10. 1C5) pOlIO A = 2,
  11. Ouorum omnium Agere
  12. eacum (seu iptum C.SHII
  13. r + a. = a2 + a3 + a dec.
  14. F F 22 7 442 + 843 + 16at _c.
  15. F = 34 + 94 2 + 27a3 + 81 et _c. in B.
  16. et lic deinceps ulque ad
  17. F + C + C F C. + C 2 8c.
  18. Planum) ctt. (per proP. 1. = C. + 3C 2 + 5C. 3 + : C2. f 5C.3 _c. in B. = Plano.
  19. hujus; vel prOD. 64. A.
  20. rithmet. Infinitorum)
  21. Si vero non ronatur = 2, sed cujuleunque maenicudinis: Tric falcem Pta-
  22. nuno, seu P L9 = C. + 4 34 4 2. t 5 qu ec. in p.
  23. Vel, BotuO = = R.; cxit P L = 1 + ; F. + 3 P + + R3 +; F. C. in C. B.
  24. Res antem ad calculum sic commodistime reteretur.
  25. Cum C. (per constructionem) semper minor s quam A( propter CY rectam,
  26. rectis A0 _ HS interjectam; adeoque hujus d C P distanciam minorem quam ab
  27. A∞:) Polito A = F, eric C. in partibus decimalibus quamlibet proxime expri-
  28. menda. Fujusque propterea poteltates, C7, C3, _c. (quod lemper obrinet ubi Ra-
  29. dix Peu Lacusminus elt quam P,) continue decrelcune, adeoque in remotiora loca
  30. decimalia continue decruduntur. Ouamquam isitur, in plano detignando, incessi-
  31. Bantur ipsius C Porestates, C.2, C.3, C2, ecc. in intinicum continuandxe: P’ostquam
  32. tamen aliquousque procellum est (e quidem plus minutre proutmajor minorre
  33. a npisue spectecur,) reliquae, urpore in loca decimalia altius detrulae quam ut magni
  34. linemomenti, merito possunt nesligi.
  35. Rxempli graria;
  36. POtIca AS = A== L
  37. SitSC = C =0, 2T.
  38. 5H = B=0,02.
  39. FrUME C =0, 2L
  40. =C2 =0, 02207
  41. l. . 0,003087
  42. C = 0,000002573+
  43. C8 =0000000473 -
  44. 3 C3 =0,000000088]
  45. 15C = 0, 000090OF7-
  46. C1 =0, 000000003 +
  47. FIorum Summa, 0, 235722333
  48. Ducta in B = O, OF
  49. Exhibet planum CNHI, Teu P L = 0, 90235722333 Proxime.
  50. Atque de Candem ioruam procedendum critu Pa -= L, Gua CiC IHICLI
  51. C (qux tamen temper minor est quam ,) et (quae vel major esse potest, vel
  52. minor, quam vel vel C:) PTONE exPOLTS caluS Poltulaverit
  53. Acque huic non mulcum absimilem Lyperbolae quadraturam exhibuIE nupex IN
  54. Coearichmotechnia lua D. Nicolaus Mercator. De qua verba tecimus in binis I.
  55. TexIS
  56. C 4 == 0,006460203
  57. C3 =0,000087682
  58. C5 =0,0000r4294 +

Cite

[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. 920. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0940?run=74