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Leibniz-Handschriften zur Mathematik LH 35, 5, 15, fol. 24r

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: 0.76.

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

The machine reads it as

  1. Tangens cogarithmicae
  2. . 168
  3. ubi novae ratiocinationes circa composita eode modo
  4. sit Angulus sint GC et CD sibi aequales et angulos
  5. rectos, et GF ipsi cd aequalis e parallela et ad
  6. easdem partes et ipsius GC vel Cd dimidia
  7. q Inter GF et Cd sive B. A
  8. sumatur media prop. 2BEA. Et inter Cd et 2B2
  9. et sumatur media 3B3A, et ita porro. Ex D per
  10. omnia puncta A, nempe A, 2A, 3A etc. ducantur
  11. s rectae DAF ipsi CG si opus productae occurrentes
  12. idus continuari
  13. in punctis 17. 2T. 3F. er
  14. intelligatur. donec B incidat in C et curva ducatur
  15. E=F per puncta 1A. 2A. 3A. ete atque intermedia usque
  16. ad D. u et ducatur novissima D T, sive d ea
  17. erit curvae tangens in puncto D. quaeritur ipsa CB
  18. consideranda erit progressio ipsarum BF nam
  19. 3C
  20. d
  21. earum ultima est CD. quia ultima B desinit in C
  22. Est autem 1B, T aequa sit CD ag vel lG sive C, B, sit aequ _
  23. et ultima in b.
  24. erit GF seu 1B. A q L e 1B1 aequ + Et qua Ut autem investi
  25. gemus B.T considerandum e erigantur ex punctis A rectae AE, occurientes
  26. ipsi Cd. patet fore (B.Q 1B, F: 1B. A :: 1Ae BT: BA:: AE: ED
  27. sunt autem
  28. eu cd. B empe 1Ed aequ C A - L. 2E D aequ + - 12. 3E Daequ1 - 2G
  29. seu sunt autem +ED aequ t. de I. 5Ed oqu act-
  30. et 1A it aequ 4.
  31. fit ergo BF aequ
  32. seu BTaqu
  33. 2AE aequ. l. 3A3E aequ 4A4E aequ x
  34. BF
  35. 1
  36. ED
  37. L aede
  38. SE
  39. vel indel fa vel et vel
  40. vel Svel vel r ete R vel 1 vel L vel L vel) et
  41. e
  42. 82
  43. sa
  44. Not
  45. 12
  46. a
  47. L a1
  48. 2. s2
  49. et numeris 1. 2. L.+. 8. 15 ek. appellatis 7.
  50. erit BTaqu
  51. hatetur BB.
  52. e
  53. 8
  54. je
  55. 1- = vel 1 - = vel 1 - = vel 1 - ec
  56. (2
  57. eutseries ipsarum BT cirt: L, 1
  58. si u inffinita
  59. im
  60. e
  61. ds2
  62. e
  63. 1 L
  64. 27 4 e2 8, H facilis
  65. 1-
  66. Ja
  67. 1-
  68. appropinqua
  69. 1- L per cogates
  70. 2
  71. (2
  72. Daequ. ( I2 et )-= (2 aequ . Egofic
  73. Xur
  74. Ergo BTaequ. = 2 (2 sit L aequ. a. fiet BTaqu
  75. 1- p212
  76. co
  77. es
  78. E 2E3
  79. ∞
  80. Et
  81. et
  82. 1= (20s2

Cite

Leibniz-Handschriften zur Mathematik LH 35, 5, 15, fol. 24r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068033:0047?run=73