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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 283r

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: 0.70.

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. 284v); this page is its right half.

The machine reads it as

  1. + d
  2. YXro 3 nb
  3. +rt( bn
  4. qX HgnCinb +2 qb +9b 1B) bn
  5. PX prb 3ubu s0 n b
  6. bn
  7. 16 n b2
  8. x nds ) nb ++nb 1Obn + 6 ub +4 bn fb. + ten s0 bn
  9. r1Bn b
  10. 19b....
  11. 3pnb . . ..
  12. cd +nb .c.
  13. Cd 462 - ....
  14. 0
  15. Y 15 bn
  16. qn ....
  17. 3p2b.. .-
  18. rb....
  19. cobu ....
  20. 17. D
  21. Ponamus primum coro. et pa. fiet:
  22. t
  23. 3atb 1 9b +Y rign + Y. unde fieret n p b. et 3r qb r
  24. et fiet: b + q b + 4 B 1 + 4, 9Y
  25. restat secunda aequatio:
  26. 2
  27. 1
  28. 2b
  29. e
  30. 4,9
  31. 4, 9
  32. b + qb +5 2
  33. et bp 4 + S ∞ (4, 9r
  34. fqb4Y. Ergs ( qbd sa, dyb 2br
  35. +3a
  36. Ergo b S sa 11Y, qbar
  37. Ergo 134B) 2S e Cb 2br. Ergo b2 435 + 2bY
  38. 4+ 1974. 9r
  39. si 2, sive
  40. Sonendo jam rr 0. fiet: +95
  41. Stepetam calculum emissa re
  42. 3
  43. X ei b + B. Ergo A B 3bB h
  44. bB
  45. que q
  46. s9 N =9 br
  47. ergo -95 + 6br 7. 14b4 Ogr, et erit:
  48. b1 + 95 - 1qu
  49. 19+ 6Y
  50. s
  51. 92
  52. 27
  53. 15
  54. Sed quoniam sic nihilagitur, ideo ponamus co 1. et compositis inter se duabus aequationibus C et D
  55. s frei : (a) bn (F n B 3 enb) + 9b (+r e (b nde (n b 2 pnb) 14u62) C ine ba -
  56. a
  57. s
  58. i
  59. sive 3bn a3n b + 464 gn sive dividendo per b .n, fiet: 3 3bn 41
  60. ngO
  61. duas autem praterea aequationes habere necesse est, unam: -(4qb = an -2p4 (+ 9b) +r
  62. sive- 4b + 4, = 1p9 + Y ( 0, sive - 3 9b + 9-9p9b + grb o quod non potest non
  63. ob succedere, si G est quantitas affirmativa:
  64. Supeaest alia adhac aequatio: - a b - p4 b - q +64 +ss due erit:
  65. 5b
  66. - 3, 469 - 3p17 +p4 +69b + 95b r et ent b , - pg -69b- 9s lut 9 ex 9b+ orb
  67. 14
  68. + 4= yeg b
  69. gr.
  70. -4029pqor 169 19s l 21qb
  71. 80 (9
  72. su prest adhur Aliais quationin 24) - p 4- q (+ 69)) itaque alteratrum necesse est,
  73. 3
  74. adhuchabemus
  75. foret enim vel M.det b. a vel denique ut sit Re a. sive ut absit aequationis quadrato. quadcaticae
  76. tirpolitae terminus secundus quod facile effectu est sive + pqst - 3p9b 9bs. Hce 2
  77. b +7sB +ag 3s + 3xq et b b - 3s+ S9SAB. ubi
  78. 4
  79. 9 e
  80. ateliderpater, de ber ese tut qu finnituon uut int vtua ter 9. nasi em uno tem duniolo gumdruso ab s.
  81. y+ pRy
  82. 4
  83. _
  84. d
  85. En... imx y - 4h y + aY
  86. +29nb
  87. apreb pen
  88. +100nt
  89. in
  90. y4 +. - h V +ary
  91. my3
  92. X
  93. h mar
  94. b - 32b+ 24
  95. sive. Y + r + +4

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 283r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0565?run=74