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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 296v

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: 0.81.

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. 297r); this page is its left half.

The machine reads it as

  1. Si sit proposita Aequatio
  2. dx ity = 1BX +2By + 12], : 3Ox + quy + C41
  3. fiat X = 50Z + 501 + 51, et y = 60 Z +60v + 6) fet dx 50 d7 + Solv ptys 6oty r
  4. et ex aeq. 1. fiet 50dZ + 50 dv, :, 60 d2 +60dv = 20 56 206. 8
  5. et fiet: + 3050.50
  6. + q0. (. 50
  7. = 10. 50. 60
  8. - 20. 60.60
  9. + 40. 60 50
  10. 10.50 60
  11. = 20. 60 60
  12. 122+ E vV +YZ + +30. 51. 50 3+V
  13. +40. 61.50
  14. + 341. 50
  15. = 10, 51, 60
  16. = 20.61. 60
  17. = 121 60
  18. 40. 64v
  19. =O
  20. erum jam video cur talis methodus non procedat.
  21. e
  22. cer simalie
  23. 40.6190
  24. 1349. 50
  25. omnem ota liceat reducere ad homoeoptota, nam ita res
  26. in effectu reducitur ad unam a indeterminam, naeque
  27. quoniam fe ponendo Z+ V = K, feret X = 50K + 51 et y 60k +61
  28. quod absurdum est. Ergo minium oportet assurgere ad gradum
  29. secundum, itaque siat dx: du = 10X 420y + 121,: 30x + 40y + 341
  30. vaz
  31. vdv vdz de
  32. = 10. 502 ete (ut in 2) + 20. 6077 et (ut in 3) + 121 :, 30. 50 ese (ut i 2) + 40. 6027ete (aln.) + 3u 2. 3050.502 d + 16240 50803 vd 1 2 341 50. l 810 50. 802 d
  33. releunit. et ex ag. 1. fiet: 2. 50 Zd3 et (ut 1ia): 2.60 2 12 (x te (ut in 5) saX t al i 1) + 206011
  34. vdu
  35. Et multiplicatione istibuta per crucem, ex aequ. 6 fet fiet
  36. 2. 30. 505222 dZ + 2. 30. 50.50Z7vdv + g. 30. 50.
  37. 3050
  38. 2. 30. 50.70
  39. 30.50. 70
  40. qvaque + 2. 30. 50. 51 474 3 Y 2. 30. 50. 51 Z vdv
  41. 30 50.51
  42. L 30 70.51
  43. 30, 70.51
  44. +350. 70Z. dv + 30. 7051 2Zdv + 30. 70. 72 Zd + 30. 51. 72d3
  45. 30. 51. 51
  46. 30. 50. 51 222
  47. plicatione per exucem in aeq. 6. coefficiens ipsius ZVdZue est. 3070 51 + 3051. 7D
  48. 2 4 30, 70. 51 + 30. 51. 2.50+30. 51.70 +40. 80.51 +40. 61. 2.50+ 40.61.70
  49. 10, 70. 61 = 10, 51, 2. 60 - 10, 51. 80= 20. 80.61-20. 61. 2. 60 -20. 61. 80
  50. coefficiens ipsius Z Z7aV ess, 30. 50.51, + 30.51. 2. 50 + 30. 51. 70 + 40. 60. 51 140. 61. 2. 50 4061 70
  51. 10.50,30-20, 60. 8
  52. et qqu dque Habet coefficiculer (. 10. 450 4 30. 70. 2.50+ 30 18. 70 + 40. 60. 2. 50 40 80 2.50 + 40. 90.70
  53. et debet esse 9= 26 calculi autem contrahendi causa, licebit quodam quosdam terminos
  54. ponere aequales Tnihilo, in assumlis, non tamen simul hovet 60 nisi velimus facere et e -0 ut s
  55. eec
  56. 1050.83- 10. 78. 2. 60- 20. b0. 1. 29 802 b0
  57. E
  58. +3050.70 +40. b0.40
  59. =10n 50 2.60 10. 70. 2. 60-10. 70. 80 - 20 60. 260- 20 80. 2.60- 2. ∞. 80 1
  60. O2 10.50.61 - 10, 51. 2. 60 + 10. 51.80-29. 60. 61-2061. 2. 6 20 61.80
  61. Rursus 23 habl aefsicientem 3050 250 +40. 60. 250
  62. delevant. Erquet 70, 56, 51, 72, 82 sint . uexo
  63. quos certam inter se relationem debere fine paginae praecedentis costendimus e
  64. nempe ut colfficienss ZVdZ sit duplus coefficientis Zq dv; et ut coefficens
  65. jam facta multi
  66. a
  67. 1a50. 2. 60 - 60, 2, 664 330 5or0Y 1B 3. Gorobonorto da tis
  68. 52150, 20. 707 (a 2+ +40.
  69. ede
  70. Multiniatio instituenda esset per crucem in aeg. 6. ad procleecendam aeg. 7.
  71. Sed sufficit nos praevidere quae deb esse quomodo se habeant illi coefficiente,
  72. ipsie
  73. ipsius ZZV dqu sit triplus coefficientis 23 de
  74. debet esse d = 20.
  75. a
  76. et X= 177 + 850 V _ et X = 50ZZ + 70ZV + 51 Z + 72. et y =60 21 190 ZV1 69 + 31
  77. do
  78. et dx= 2.502dZ + 70Zav + si dq et du = 2. 60ZdZ + Z dp + 61 az .
  79. vdo
  80. +3. 30. 50. 72 ZdZ
  81. 30 51. 51
  82. seie
  83. d
  84. .
  85. 2061
  86. 121 60
  87. 6.51. 60
  88. 12, 82
  89. poterant
  90. ilti
  91. nam n
  92. calculo
  93. sequante
  94. non

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 296v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0588?run=74