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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 64r

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: 0.77.

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. 63v); this page is its right half.

The machine reads it as

  1. Ergo per aeq. 42. eut:
  2. Ca
  3. e
  4. ag- f. - la -lm B
  5. Ga
  6. I-Im- m
  7. 3,f3 - agf 40eh, 1 Im -m ag- F C
  8. 3Za
  9. a
  10. 0
  11. (46) sive compendio, multiplicando per crutem: 03)
  12. si
  13. 63
  14. (17 ) estautem D pa lEm + 213m 4+ l n , et 8 - 16 - 3 V m 2ln
  15. 4) et fer: 12 m + 2l’ m + 1 m. E
  16. Cunque nulla alia sapersit aequatio,
  17. -l - 3lm - 31 2
  18. -ln- 31m 31 ms (da
  19. =m
  20. =
  21. patet unam ex
  22. duabus incognitis, quae nempe supernumeraria est simi posse pro
  23. arbituo, ita scilicet ut aequatio quae inde oriri debet, fat
  24. quantum licet simplex, palet ergo eadem hic opus esse methore
  25. qua in aequationibus numerorum explicandis valore ubsim aliquam
  26. exincognitam ita pro arbitrio assumimus ut explicatione
  27. facta, aequatio residua fiat linearis seu rationalis: ita hoc loco
  28. Cvalore plano
  29. quaeritur ejusmodi explicatio itsupernume rariae
  30. ut, residuae valor fiat planus seu circularis
  31. Ne quis ervort sbsit, aequationes 2. 3. 4 ipplicemus ad Tubum
  32. ultiplicando in se X+C Nam X+I X+m x. I-m
  33. ca unde fier: X + lX + Im X4 X - 1 - m, unde:
  34. +m.
  35. X3 (+IX) (+ lm) X - Vm B0. Hinc sequitur quamdoeunque
  36. verus ergo
  37. +m. - 1.= lm
  38. -l . Lm)
  39. calculus superior m. L mb
  40. = mv.
  41. in aequatione Tubicasecundi
  42. termino carente aequatios tertius
  43. terminus est affirmativus sequi aliquid
  44. nhaginarium, redicem scilicet extrahendam
  45. ex
  46. =12Lem - m. Hinc sequitur nec
  47. alias formas in hanc mutari posse, quia fieri non possum
  48. aequationes radicum realium, ex aequationibus radicum magi
  49. rariarum.
  50. Si Aequationem 49 brevius enuntiabimu potendo pro- l- In ponendo yk.
  51. v
  52. a
  53. 60
  54. (51) fier: Qai aa catm +aym + ma a
  55. po sibstimendo , pu 22
  56. ((3) fier:
  57. 5a
  58. d
  59. 2
  60. N
  61. et pro n substituendo _ B, extracta Radice
  62. O2
  63. av q
  64. (15) Na 1
  65. a
  66. 1ds) Ya
  67. 2
  68. E5t porendo p) ve fier: Av, p v ip v Spa
  69. 56). per V
  70. (57)
  71. 1fer: V
  72. (5) eut a M po
  73. 12
  74. a
  75. 62a
  76. 11093
  77. sorxa
  78. .Ergo a0
  79. Egi juncta 50 et 10 eit, b
  80. 8ta, cub 1 +4
  81. +lm + m
  82. estra
  83. a3
  84. adeoque poret pm -3
  85. 1H0a- Voa ce
  86. ip 1y10396-1 48a
  87. 9 Aub (42+ 43),a.
  88. et divisis ommibus
  89. Ergo
  90. Habitis jam
  91. litusi radicibus, l. et m.
  92. 48a cob (474) habetur et a, et habita a habetuor X, nam X + a pjo, et X1 a,o
  93. m a talt alpi o ex topotres, ne sub fim cduli cvanscare nccspe es aicitiotam Y.
  94. quod signum eris stail elerans calculi veri
  95. 1
  96. (45)
  97. lm l m-3m

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 64r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0127?run=74