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Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 38r

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 39v); this page is its right half.

The machine reads it as

  1. Minima ad lomo
  2. Ex scholenio in lib2. Cartes. Pag. 17.se
  3. posito HB aqu. x. BC aequ. y. OF ait B a. AF
  4. 2 n raxty
  5. ABaego X BC. aequ. y. BD aequ . Ergo Bdago 1 i
  6. DG aequ. a + ax - by.
  7. ugo
  8. 1ac
  9. a - by aequ. ac a b- a7
  10. seu 3aqu. 2v act
  11. V- a
  12. et Xaqu. + bC Z acZ- b d + a - bac 2+ bact
  13. AB aqu. =x F 5y _ aequ Z. et ED aqu v. aequ. y Ergo 3 aequi
  14. tax-bys nan ab + bx + ay
  15. sn Nago 2C = a = b7 equ. ab
  16. e
  17. ier
  18. sit jam 3 equi dar t2. fiet: v’ aequ. rax + 2 X 1+ et y aeqo 15t 16.405
  19. lauo
  20. ba -a
  21. s
  22. a
  23. rius 5 + 2 ic y + B t ugo Z et E Qui calculus et generalis pro vimicurva. Jam
  24. ponatur Z aeq. f+ 13. V aequ. + + 18.
  25. sid nelius sic: ( 9 s + t supra 3 19F 17 20 +21
  26. Corpines sic)
  27. 35
  28. 27 + 23 t + 24
  29. +2319, St 12920 2419. ). 24, 30 +, 24, 21.
  30. +24, 195 +u ro A+
  31. 1221, +
  32. r22, ys
  33. +8a 5 1613 st 8, t A a s utop + 5ad
  34. s + 3+ +915 + 3y32 + X
  35. ponamus 22 aequio. et 30 aqu. 1. fiet : 23 aequ 113, b
  36. ullipliaendo aequationem ad Comeam per 33, fet et ponendo
  37. 33 aqu 30. aequ. et n aqui sis
  38. 19, q
  39. sequitur J. fore 229 aequ 23, 20 per teminos s2. +2.
  40. isris
  41. 2+
  42. fier 22,199 , +30 a D a aequ. 0
  43. 23, 199 + 21 c9 + 30, 136, aequ. 0
  44. 24, 21 = 30 ad qu
  45. 4aequ 3ead, 22 aqu. a - 30 a
  46. e
  47. lini
  48. 23 aqu 30, 11b. - aroq t 30 209
  49. 23 oqu 1 +30
  50. 20
  51. 19 4
  52. par temins. st fit: (20, 19, + 23, 20 aqu. 2 30, 113 8 Ergo 23 + 22 aequ 30, 113 8
  53. Ergo ... +23, 40 + 22, 19 aequ 0
  54. e
  55. 19, 20
  56. Habenus errolam 23, quam 22 epe solius 30, fil. 13 aequ. 22 Ergo, aB, 30, 13b 4 1, 4
  57. et 23 aequ. = 36, l13b, + 19 4 et _ 2533aqu. - 30 1 b, + 19 4, - 30, 204
  58. 20 9
  59. atque itu habetur comparasto, mente adhuc ho arbitraria 20q
  60. 19, 209
  61. e necdum commodiorem sorationem invenio
  62. et 24 ∞9, 20 ad
  63. 2)
  64. 40S+ a+ + +42 egne A L aequ 405 + 41. Eut l aequo 46 p 1, 90, 41) +q5
  65. et st equ 40st + 41s. sit aequatio t2 aequ. ; s + 1.2 + as + pt + ad
  66. 1os. + 2 45 21, 54 2 aqu. a sa + 1 b 2e s+ ibars + 8 f r P 2s + p. 31 ad
  67. 52+ 1136, 40
  68. 4 S + p, 41 coplicanda autem 40. 41 pe qu. 613.
  69. + p40
  70. E
  71. fiet:
  72. + ad
  73. +12.
  74. - 2, 40. 41 p pb 1(1 9 - 40
  75. 1- +0
  76. saledae 2. 90 2y Maji 167
  77. 0
  78. loum baigen, si a ratis practis curva dicaitur rectae adalia parallelae vel convergentes ad alia puncta altrius ves
  79. ejusdem curvae.
  80. +b a)
  81. 4
  82. Var+ 62
  83. seu Zaequ.
  84. a
  85. Et CGaego. abt lx + ay
  86. VabC

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 38r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068195:0075?run=74