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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 267v

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: 0.82.

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. 268r); this page is its left half.

The machine reads it as

  1. 3
  2. 4 1
  3. 5 mnm
  4. mv m
  5. 6muv fie
  6. 2, m
  7. 5EX
  8. compendiosissime resolvamus,
  9. alias ad similes aliis multi
  10. plicando attollemus. Quaresi
  11. aequatio Z multiplicetur per X. (tametsi
  12. etiam multiplicari posset per X + C. sumta e. pro
  13. arbitrio, sed tunc in aequationibus habebimus formulas
  14. impares demta X, quod non dum facere utile puto,
  15. attoque G 7CK =, 6 muv X - DL C∞ .15 H
  16. -4d. + 4, 10. ... + 4, 9.
  17. quas aequationes, ut quam
  18. et an opus sit, ab eventu discam) fier:
  19. 14)
  20. +6mno X CX, five
  21. SH +O5L + (2) muvX
  22. 35
  23. +4,8-
  24. si
  25. 10
  26. adeoque collatis duobus ipsius G vatoribus
  27. ex aeq. 4, et 3. fiet
  28. mult
  29. Cui aequationi in qua absunt G et D, ut rursus similem, struamus, faciemus= multiplicabimus
  30. aequationem 1. per (C, fier 2 BsC + 3(C2)
  31. bC) et ope aequatio num 5 et 6. habebimus
  32. 2H + 2D 3L + 93P
  33. nempe addendo aequationi 5, hanc
  34. e7 5bC)
  35. 44, 8
  36. aequationem in qua etrum aberit H.
  37. 17, 5 mur X +7, 53L (4 7, 5, ZH 7) aequsi multiplicata per +7, 5 addatur aequationi
  38. +7, 4 13
  39. 4, st
  40. +7, 4.. + 7, 4
  41. 4,8. 418..S
  42. 2,7CX, - 7.6 muv X - 2, 16 L (2Y, 5 H
  43. 2, - 4d - 795
  44. +2, +, 9
  45. = 2,7,4
  46. 4, 8
  47. sro addatur
  48. 1,8
  49. aequationi E multiplicatae per, fiet aeg. 7 in
  50. quae aberit .
  51. Jam aequationem 1. multipli comus per X, ut inde struatur aequatio similis aequationi 2,
  52. (8
  53. fier 2BX +3(C)X, A bX. quam per 4 multiplicatam, addamus aequationi r per 2 Multiplicatue
  54. 2D + 2E 3E + B3F
  55. Demque mnultiplicetur aequatio, 1. per B. fier
  56. 2B3
  57. 3BC)
  58. 25142 iL 3H+3P.
  59. (10)
  60. fier (47, 4, D +4, 4E +04, 3F - 4 bX ∞ 7 (9)
  61. 24D) - 2,5 E = 2.6. F + 2C
  62. e
  63. HVBB. quam aequationemt mustiplicando per 2, ejue addendo ngutrim l. multiplica
  64. tam per - b. fiet. Multiplicetur haec aequatio per 7. eique alia
  65. addatur aeq. 3; multiplicata per- 2. fiet: fieit aequatio sine G, nempe
  66. +7.ZG) +9. 22L +7,3. H, + 7, 3P = 7bB 7 H Quam per 2 multiplicatam, addendo aequationi 6pe
  67. 2,7. = 2, 9. =2, 8 - + 2, 10. +2.d
  68. XL..
  69. 218, 23 multiplicatae, fiet aequatio sine H,
  70. cui si addatur aeq. 1. multiplicata
  71. per +218, habebitur aequatio
  72. (137
  73. 713
  74. sine B, nempe:
  75. 10. Habemus erg tres aequationes 7, 9, 13.
  76. loco datarum, 1. 2. 3. ita ut invents
  77. abscut termini absoluti, B.D. G. et ex affectis
  78. is qui absolutis proximus est, nempe H.
  79. compendii ergo causa loco aequationis 2 scribemus: 11 bsC) +1 P + 13L + fX H0 et proaeg. 9
  80. ae
  81. 14E + 15 F - 4b X + 2CFjo 16L +17 D + 18(C) + 19b fi23
  82. n
  83. 8 mum
  84. mo m
  85. no
  86. 4 DX
  87. +G + 4H
  88. 20
  89. L (2
  90. (12)
  91. 9mn
  92. v2
  93. .- -. B
  94. a
  95. H) i.
  96. 1omnv X
  97. W A
  98. 1 2. 82. b(C)
  99. la

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 267v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0534?run=74