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Leibniz-Handschriften zur Mathematik LH 35, 7, 1, fol. 56r

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. 57v); this page is its right half.

The machine reads it as

  1. 15 Marti 2679.
  2. Tentamen inquisitionis in quadraturas parliculares
  3. Demonstratum est in praecedentibus schedissub simili
  4. titulo 10 Martii 1679 conceptis) quadraturam circuli haberi
  5. si detur secans cujus minima sit ratio ad summ arcum,
  6. na l nam tangens complementi hujus arcus
  7. erit ipsi arcui aequalis, arcui anterm exhiberi potest aequalis
  8. Circuniferentia
  9. sit Radius, Y.
  10. et tangens T. Constat ex
  11. Ponrg tangens complementi aequ. K (1)
  12. onstat ex alibi demonstratis, esse
  13. et arcus a, et secans S.
  14. a aequ. ps at
  15. esse s aqu. x+ t et K aequ Y
  16. Ex aequ. 1. fit: a aequ. +- +
  17. Y+ +2
  18. + +5 +7
  19. G74 776
  20. et ex aequ. 2. poterit duei valor rationalis ipsius s etiam
  21. infinitus
  22. Nam 1 a + b aqu a + 2ab + b.
  23. et 1) a +b aqu. a + b2ab + 3ab + b3. eC. Et ita pono
  24. jam 1. 2- 1-
  25. Iem 1. 3.3. 1. item
  26. porro ita generalitem exprimi possunt:
  27. pisi 9 vit2 a
  28. 1 1.4. 6. 4. 1. Et ita
  29. X. Y1 9 , 43 a. e
  30. 19- 3y+ 2V
  31. 1, 2, 3
  32. fiant
  33. v 3V + 2y
  34. 3V + 9
  35. y - 6y + u y - 6y
  36. di res desene
  37. ete recta descendentes
  38. crescentibus apparere quod sit ut in seriebus
  39. 1. 17. ist 1p. etc. item
  40. 11 y. Mt.
  41. 86y)
  42. 1eF. F.
  43. 2y.
  44. 1y. 1 37. 16 y etc.
  45. Et in seriebus transversalibus: 10. 20. 6y etc. 19. 3G. 1y etc
  46. 1y7. 6y ex.
  47. promessionis.
  48. Continuando facile investigabitur regula
  49. sed et addendo
  50. Sed et invicem addendo saltem primos terminos, fiet.
  51. 24y
  52. Ity 12y. 4y- 12y + 8y.
  53. 1,2,3, 4
  54. +243 + 12y + 4 1 y
  55. 5 + 11 y = 6y3
  56. = 12s
  57. 24 + 147
  58. y= 6y +5 -67
  59. seu 24 1224
  60. 1,235
  61. 1, 2, 37
  62. 1, 23,4
  63. gerum haec additio inutilis nisi cum a. b. sunt aequales untu
  64. inter se.
  65. et V, y-1, y -2 aequ + 3
  66. agu a , 28
  67. ponendo ergo 2 aequ fiet. By-C1 aqu
  68. et gy.1, y- 2,9 - 3, aequ - 18 et v, y - 1, 9u2, 9 - 3, y 4 aequ. - 15 5 - 7 aequ l05
  69. aqu 2 0 5 2816
  70. arb aqu a + Lab - = a b += a b et C. Et ponendo a aequ. 1.
  71. fiet 1+b aequ. 1 + Lb - + b2 + 3 13 - 15 b+ 105 V etc. oportet
  72. esse b quarlitatem minorem quam 1.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 7, 1, fol. 56r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068073:0111?run=73