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Leibniz-Handschriften zur Mathematik LH 35, 3 A 7, fol. 15v

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.

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The machine reads it as

  1. s
  2. ()
  3. sit aequatio _ data X + pX + Gd + tae + sx +t aeq 0.
  4. quasdam, non tamen om
  5. duae aliae, quarum quaelibet unam habeat radices communem cum
  6. ( 3)
  7. Xs IX blX n aq. 0. et a X _ AX + JX + h aequo
  8. 10
  9. Itae duae ducantur in se invicem fiet a + sX + AS l’X + bsXs
  10. reto
  11. N 4 X + f X +gx + he aequ. 0 Durantur in se invicem aequationes 2 et 3.
  12. fiet. X +
  13. fx
  14. Ux + bl X + m X
  15. sex
  16. afstsmX
  17. grb +gVX 1b9 (X +g m X
  18. + h X +fi lX C ex 1+bhI(EX + tm
  19. Acquatio data ducatur in aliam eti arbitrarium formulam
  20. tertius gradus lx ex dX +e aq. o fiet nempe 4o dxt eaequo
  21. X ApX+qxr + Se +ta
  22. CX +CpX rcqX terX+ Csx + etx
  23. + d. + dp. 4d9. +d72 +d15 + d. t X
  24. +8. + ex. +eq. +er. + es
  25. comparandae jam aequationes 4 et 6.
  26. +
  27. caequ. s= P dequd +sp pp +q equ. 98+ l. Ergo dd aequ 99+H sprpp - 4
  28. ea 3gP +up = Sp p3 4p + f9. pq aequ st a h
  29. Aequatio b comparetur cum generali
  30. X +1 X +2X +DX +4X + 5X+ 6X + 7X + 8 aeq.c
  31. fiet: caequ 1 - p. dt d + 1p = pP _ + q aequ. 2 seu dd 5g. 2 - 1p + pp - 49
  32. e + 2p = 1pp + pd - 44P + 19. p9 a. + r aequ. 3
  33. 1
  34. (60)
  35. seu
  36. deniq ob aluus terminos mectios. sa1c p A
  37. dq ip qq a ppqq= + ap: Hi aequ.
  38. aequ 3 - 2p + 1p - p + p9 - 1 9 - p3, E1 tE4 st a psa L. 9 fach. L + 7r. P + Bp. 15 1. 5
  39. 2
  40. aequ. 8. t dd aequ. - 854. f + 7: t
  41. es(H)
  42. ad C aequ 6 t+ s Grs2. Fe+ Zr. V + 84. t aequ. 6
  43. seu caequ b ct - 85 D: t + 75: l + 81: + aequ. 6
  44. seu caequ 858: +5 - 7s: f - 8r: t + b: t
  45. jungendoB et 15 fit 1 aqu 858: + - 7s to - 8Y: t + 6; 1 + p
  46. s
  47. aqo pSpS f: L = 7p S: F - 8pr: t + 6p: (= pp +99- 85 + 4 7
  48. axex. 9 et 12 fiet
  49. et 3 aeq. 8p s: F - 7 p s2 +-8pP: t + 6p t - p 1 9ip - 5(H: t 1 2p: +
  50. 8p58: ( + 7p5. f + sp P. to - 6p. + ( pd + pd L p 9
  51. Tn + 84 sd. f3 - 754: f = 8913. f + 64: F +pq + r + 8:
  52. exo
  53. 5
  54. Comparemus jam aequationem a cum eadem generali 7. fier
  55. faequ 1. ll + gg aequ 2. H + h aequ 5 seu gg aequ. 2 - Il
  56. 21)
  57. et R aequ. 3 = 1 11
  58. (22)
  59. et b1 + H 14 aequ 4
  60. incipiehido a H aequa 8 M
  61. eate
  62. (23
  63. 1
  64. seu gg aequ G. M = b1 8:
  65. Et à fine
  66. et gu ine+ b ( 8: m aqu.7 seu gngagrn
  67. 10
  68. uo
  69. aliod erf aqu. 6.M b
  70. et
  71. da
  72. deniqe bl + 2H- 1+ aequ 4. ec em +, b P D L l. = i agi
  73. sangendo aequationes 19 et 24 fit 1 aequ. 6: m - 7b 17 _: m + b l 8: M
  74. 20 et 23 sit 2 aequd I + 7: m - b 17 8: m
  75. 9
  76. 13
  77. i 1
  78. Sitem aegq. 13. 14 cum aequ. 25. 26.
  79. ujus in
  80. 25. 26 pro. 12.2. sub
  81. superest ut jungamque aequationes 16. 17 18. cum sgqu. 27. 28.29, et prpun 4 est 7. 1
  82. c. 60)
  83. 21 et 22. fit
  84. 3 aequi l + 8: m
  85. gin . 7. 16+6ers 8 1t4 h. 1b
  86. frt BM 8 sem E 52 V Z satSN BP(M GLME+ pt m aequ.
  87. 14 et 25 scribumus per copendina.
  88. 6+ M YbV ( +e HIE erex ioentu is et 26 fit unde exargent aeqq. 5
  89. quarumope invenienda literae b.7. 8. b.m.
  90. verum praevideo
  91. Assumantur
  92. ata

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 7, fol. 15v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068220:0030?run=74