Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 15, 2, fol. 10v

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: 0.86.

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 11r); this page is its left half.

The machine reads it as

  1. affoctae. Sod duo alii sunt modi quibus idom porficio. Eorum unus
  2. affinis est computationibus quibuo colligobum approximationos, sub
  3. finom altoriuo Epistola. et intolligi potest per hoc dcomplum,
  4. Proponatur aequalio ad ardam HyporbolaeX + LX X + xt
  5. + L x5c. Et partibus ojus multiplicatis in sd omdrgdt, 22 = XX + ~
  6. + 1t 24 + X5 sc. 23 = X3 + Z X4 + X3 8c. 2 = ∞4 + 2 ∞5 c 25
  7. = x5 vc. Jam dd 2 aufer = 22 et rostat 2 = 122 = X - = X3 -
  8. X4 = 1b X5 vc. hinc addo =23 et fit 2- =22 + 23 = X + 24 +
  9. 3
  10. 60(H
  11. 2a
  12. 30X5vc Auforo 24 et rostat 2- 222 + 23 - 2 24 = X - X q
  13. 24= f
  14. S12d X = Z - = 22 + 2 = 29 24 + 23 cvc.
  15. Eoddm modo sorios de una indofinita quantitato in aliam trans forri
  16. possint. Rudmadmodum si positor radio circuli. X sinu rocto ar–
  17. = 3Xs
  18. :cus 2. et X L X3
  19. 6YY
  20. qorc. longitudind arcuo iotius; atque hanc
  21. ivoriom d sinu rocto ad Fungentom villom transforro: quaero longi–
  22. tudinom Tangantis
  23. 2V2 + 325
  24. X3
  25. 3X5
  26. X
  27. vrr- rdduco in in finitam soriam X+
  28. erque +vc: 2ua dicta 7. colligo pohostatos djus +3 = X3 +
  29. c. 25 = ∞5+ qc. Ruforo jam 2. dd Z, et rdstat 2-2 = - =
  30. 345 - gc addo + 23 2t fit Z = 2 + 23 = X5 + _ Au foro = 25
  31. et rostat - 2+ = 23 - = 45 = 0 quam proximo Zuaro dst Z = 4-
  32. 23+=25 -c. Sod siquis in usus Trigonomotricos md jussissot
  33. detuboro deprossionom arcus per Tarigoritom, dam non hoc cir–
  34. citu sod dirocta mothodo quaesivissem.
  35. Per hoc gonuo computi colliguntur etiam sorids ve duabus vol
  36. pluribus indofinitis quantitatibus constanto: et radicos affocta
  37. rem aequationum magna de parto detrahuntur, sdd ad hunc
  38. postoriorem usum adhibdo potiuo mothodum in altora opistola
  39. doscriptam tanquam condraliorum. (. Rogulis pro dlisiono su:
  40. porfluorum torminorum habitis) paulo magis depoditam. Pro
  41. regrossiors vdro ab arois ad lindas roctas similibus possunt
  42. hujusmodi Thdoromata adhibdri.
  43. Theorem s. Sit 2 = ay + byy + cy3+ dy 4+ 5y54c, et vicis:
  44. :sim drit yy = = - b22 + 268- ac 23 + 5abc - 563 = acd 4 +3 a C2 - 21 a bbc
  45. a3
  46. as
  47. +buabd +1 4bg- cd2 5+ . Ex or proponatur aequatio ad arvum Hporbo
  48. ag
  49. y
  50. = 2 pro b. = pro c, = pro, d. ot pro Ex vicissom deungot y = 2+
  51. 222+833+ 2 24 + vC. Theoreni 2. sit 2 = ay + byd + Cy5+ dy
  52. + Ey2+ c, ot vicissim drit y = = - 62 + 3b6- ac 75+ Babe - aad-
  53. a4
  54. ay
  55. a10
  56. 1263 27 + 55b9-55 abbe+ 100abd + 5aac - a c 79 + vC Ex gr. proponatur
  57. a 13.
  58. y5
  59. aequatio ad arcum circulii. Z = y + Apr + 375
  60. stitutis in Rogula 1. pro a
  61. oridhir y = 2 -=
  62. 25 6rr pro
  63. 6rr 120r4
  64. 23
  65. quy4 X 57
  66. + uc. Et sub.
  67. 112Y6
  68. 112r6 pro d. vc
  69. 5040rc. Altorum modum
  70. Progrodiondi ab ardis ad Cindas roctas colaro statui.
  71. Vbi dixi omnia pono problomata solutilia deistoro volui do
  72. iis praesortim intolligi circa quae mathomatici sd huclonus oc:
  73. cuparunt vel saltom in quibus ratiocinia mathomatica locum
  74. aliquom obtinoro possunt, nam alia sand addo porxloeia
  75. conditi.
  76. si usue hic fuisset
  77. priore therremate
  78. pro diisser series

Cite

Leibniz-Handschriften zur Mathematik LH 35, 15, 2, fol. 10v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068204:0020?run=74