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Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 40r

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: 0.75.

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

The machine reads it as

  1. Snt. O
  2. ut
  3. FbKK
  4. a
  5. + ab DD
  6. X
  7. (1)
  8. 14
  9. C
  10. (27
  11. qu
  12. ac t ex
  13. 2
  14. a XX;
  15. +2 et X Y 2Cf X + 2aceX + aaCC (5)
  16. a
  17. +2bhk
  18. aa
  19. tee
  20. t2b9R
  21. tbnh
  22. a
  23. +2bgh + abgque
  24. 9
  25. qu
  26. a
  27. a
  28. X-
  29. K
  30. aa
  31. 1∞ 1)
  32. CX)
  33. X 1amn
  34. a
  35. - m
  36. 2 2
  37. L6mn
  38. aa
  39. 2
  40. X.
  41. Jamnxm.
  42. a
  43. 8
  44. Ame per comparat: aaff + abKK = nt. aa et + abhK= 2mn. 2aalt tanee + 2abgk t abtih = bmn.
  45. 63
  46. 10)
  47. aace t abgh 2mn. ) aacc + abgq e m.
  48. sint brevitatis gr: aff + bkL =β; Baef + bhC - V: )2acf + ael + 2bgK + bhh = S; sacetbgh - 5; acc +bgg =b
  49. Erunt:
  50. (15
  51. n: M
  52. M: n = 25:7 = 37:5-8: 35 = 5: 20.) Unde 3)
  53. CC16
  54. nn: mM = V:E
  55. = 255.)
  56. (ex 13
  57. =678. 3
  58. 250.
  59. es (12)
  60. =655.
  61. 3
  62. s
  63. 1p14
  64. 4(36. (0d-
  65. (20)
  66. -9)5.
  67. . et 1fit 3) =d et ex 16 fit 3E =d. Hinc
  68. e
  69. Eligantur aequationes 11, 16, 13. fiat 2β = V. quae est Hypothesis atse entitia. fiet 20=
  70. (29)
  71. per 19 et 20 fit V Z. Ergo per 17 et 18, sit β= B. Opus ergo est 4 aequationibus invicem independentibus; quales 21, 22, 3)+ 3E2d et 1+2B-s
  72. qua quatua, 2 aeqqe. novissimae servant leges justitiae. jeam ae fta, c, e,F; ut b, g, n K.; et CdtC ut f, et gut
  73. 1
  74. L
  75. Ex 2C habetur h, simpliciter il valor substituatur in ag24 prodit velor (26) ipsius e. sine h; unde vicissim ex lege justitiae habetur valor (27) ipsius h sine e. valores
  76. A
  77. ox 26 et 27, substituantur in aeg. 23. fit aeq. (28) in qua supersunt solae P incognitus, C, F, gik. Sed eaedem solae reperiuntur in aeg. 22. Quarum
  78. 15)
  79. C99. 22 et 28 ope ha haberi possunt Co B et b ner C 4 relatio ipsius F ad i a, C; b, 9. Et (30) simulisrelatio is
  80. ad b, g; a, C itam ope 22 eHs triendo k, habetur 29; et oper 22 et 28 tollendo f, habetur 30. Quod si aliqua
  81. relatio sumi possit inter c a C; et b, G servans inter ipsa justitiam, et apta ad deprimendam actentiam ex aegus 29 et 30
  82. intio Elegi 1g. 11, 16, C3, quia aeq. 13, est justitiaria perse. at agque. 11 et 16 si mul sumtae sunt justitiaria. Habent etiam hoc, quod hoc modo
  83. reprimetur, altera simul + sed cavendum ne qua aliunde imcommodu decerminatia assumatur.
  84. quam uinimum tassurgunt incommod incognilae, nemue s et e pon ultia quadratum; et e,F
  85. es
  86. d,k non ultra tubum denique ope ipsam
  87. serventur commedissime ad depressionem maxunae per hypothesius unicam i

Cite

Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 40r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068207:0077?run=74