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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 88v

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. 89r); this page is its left half.

The machine reads it as

  1. 10. 21 rg. 0
  2. 10 +’a aequ. 0. 20 +21 a aequ. 0. fiei . 11
  3. 10 + 11 a + 12 b c9. 0 et 20 + 21a + 22 b 49. 0. Eryo ,
  4. si addatur 30 + 31 a + 32b aequ. 0.
  5. tunc aequationes istae tres ita inter se companentur:
  6. 20. 12(4 2112 a
  7. cel + rta + 12l b ao
  8. ope harum aequationum trium tolli debent a et b. Ergo opus tantum duaibus rubitrartis
  9. et seutemqe aequ. 1. retinebinius qualis est, reliquas duas multiplicabimus, et ita
  10. stabit
  11. 10 F 11 a 112b et fier n + 2il + 3e m ry 0, et 12+ 22l + 32m ag. 4. unde
  12. 20l+ 2l a + 2il b 51q0
  13. 30m +31 ma +sumb
  14. ad imitationem aequationis 4. fiet:
  15. +11. 32 + 21. 32l, aequd. 0
  16. -12. 31 31 L
  17. Ex aequ. 4 habemus valorem ipsius a. quemcomequem conmutatis 2 textris in1.
  18. ot contra habetur valor, b. scilicer +10. 21+12. 21 b eg. 0.
  19. -20. 11 22. 11 b
  20. uperest ut toltamus a et b ex aequ. 3. ope valoram ex aqu. 4 et 5.
  21. idem quod
  22. Nempe multipluetur aequ. 3 per f11. 22
  23. Est autem1. 22 idem qud- uri.u
  24. Eirgo eb aequ. 4
  25. et aequ. 5
  26. naem
  27. per +B) i (. 31 in f 9. 1
  28. i
  29. 232 B1. 8
  30. diutr
  31. et slndo aequationes 4 et 5 ab aequ. 3. : tolletur a et b. et fiet:
  32. addendo
  33. 30 in +1I. 22
  34. - 21. 12
  35. fel et depressit omnibus per
  36. seu fiet:
  37. + 38. 11. 22.
  38. = 30. 21. 12
  39. - 20. 31. (L
  40. = 16. 21. 32
  41. + 20. 11. 32
  42. 30 +30. 11. 22
  43. - 3. 21. 12
  44. + 1. 2. 32.
  45. -31 inro 22 i Y. y in 410. 22
  46. oe - 20. 12
  47. in +10 2 inspst
  48. +11. 22. fier 10 in 11. 2Y
  49. +2 3, F aeq. 0.
  50. 30 2 12
  51. 32
  52. - 2011
  53. +10 31. 22
  54. =-10. 21. 32
  55. =420. 21. 12
  56. + 20. 1. 3
  57. + 30 - II. 22
  58. -30. 21, 1
  59. aequ. 0
  60. = 31. 10. 22 + 32 10. 21.
  61. + 31. 20. 12 = 32. 20. 11
  62. 102+2. 3
  63. 20 +3 1 7aeg. 0. Quod servat leges
  64. 30 + ( 2
  65. 2 12
  66. Homoeoptotorum, amo
  67. enim 1 praecedit nunc 2
  68. nunc 3
  69. quando 2 praecedit adoo B tunc 3 proecedit ad X
  70. Quando 2 praecedit ad 10, tunc 3 praecedit ad
  71. q 2 praecedit 3 3 praecedit ad 20
  72. praecedere intelligo quod signo affirmat ivo afficitur
  73. sequi quod negativo.
  74. Ita enim habetur regula signorum ex uno scilicet caetera
  75. omnia. Nempe quia characteres sinstri, cum notent
  76. aequationes non literas non aeque signum variationem ingre dimnto
  77. Hoc autem, collocandi modo mirifice habetur regula signorum, exis
  78. uno saltem assumto, nam compendii causa omissis charrecteribus sinistris
  79. assento
  80. st 0. 1. 2. affectum figuo +, tunc
  81. 10. 21 32. scribendo 9. 1. 2, et eodem modo
  82. nempe
  83. vasi in oidem eundo
  84. ut harum
  85. Vellum affiecretur timmdisuotitionum osatie 2d o , . 2 ecto signo-
  86. 2I. 12
  87. + 10. 31 22 l aqu0
  88. satius ita cutemus: verhie

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 88v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0176?run=74