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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 56v

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: 0.80.

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. 55r); this page is its left half.

The machine reads it as

  1. ponamus jam ex 10, 11, 12, etc. solam esse 10 = Xx et 12 = 1 et reliquis 0
  2. 20 - =aa, caetera esse 0, fiet d12 0 20
  3. etq esse o
  4. Hoc cat H aititunt tur a dio o
  5. Ex terminis ultimissiet 10. ∞. 1. 41
  6. Expenultimis
  7. Exantessenullimis
  8. Ex penantesmultinis
  9. Exanto penantep enullinis
  10. 42 1134 siato
  11. cvancesicumtu ige
  12. evanescnt sequentes
  13. egq et sit 412353)
  14. ve A92 5- 3. 33. In
  15. et 43 sevari pt
  16. 10 f0.3. g2 + v 1.14
  17. 1. 10. 10. 745
  18. +20.20d30
  19. 0=10 4 2y7
  20. (1) = 10. 20d40 + 20: 40 1 410. 20. 1.3) X
  21. +2020 d31 +209220 = 1020d4) 420. 4410 1D. V. 231 X
  22. 2020 432
  23. 10. 30.3.33
  24. Exaequ. A
  25. valubus puanti a G ag . D3X = 5 d42 1, 32ar + 20.dd +-da
  26. sed sic debet esse constans,
  27. o
  28. s
  29. 220 4
  30. bique, ata s
  31. Ex
  32. sa; quant. tes vero
  33. 1, 32133,40,41,42. 40
  34. t Melhodo a meaubi
  35. 1.N Ya + 20 ( (2de nte do) t L(re datd Ha). L dl 4 1
  36. =+d40
  37. 6. 12
  38. dar die q + 1e d2
  39. D1211
  40. Exaeg. 3, habetur d4o cum i in segeatibus
  41. ndisata
  42. Exaeq. 1 habetur 30, cum nuspiam alibi redeat.
  43. non redeat itaque aeqq. (et 3 carere possum 1 et Z sunt expedita. per ae
  44. per aeq. 2. habetur d3i, quoniam 31 in aeq9 4 et 5 quae supersunt non
  45. denique per eg. 5, habetur 33. ita omnia sunt
  46. per aeq. A habetur 32
  47. per aeg. 2. reperta per 5 33 =- 5 d42 it d. 33= 31. 42 20 dd 42 - 3 d 41
  48. ENZ117.
  49. 2. 1010 42 = 2. 10. . 40. seu explicato 32
  50. XBP. 22020 9
  51. (d31 = Eod41 rde + C2. 1 3
  52. d31 = (10 d41) + di8 41 + 2. 1, 3 19 42 ( 210. 20, 4d 92 (-240 = d4)) = 21or. 1 - 2. t0n 90
  53. 70 23.12
  54. d40 = 4. 10. 12. 41 + 200 20 d32 (- 10. 20 d42) - 1 20d0 42 - 12. 20_3) (+ 1020 d44
  55. 20 20
  56. per aeq. 3,
  57. dEo subslitendo valoem sit d30 = 1 10 2(4 10. .
  58. 20.20c
  59. 10 20d 2 - +
  60. 20 12
  61. 12320
  62. 12.20
  63. 41. ubi prodes
  64. 2020
  65. 40 g2 ( 1 3)+ dio 40 (+ 3D ( 10. 10 4)
  66. Ex his videturfieri posse 42 = 0 et erit 33 =0, et 32 = = d41
  67. 120 2020
  68. sed video in eo etratum, quod praetervidi 40 latere in aeg. 2. etque ita ex aeq i per aeq. 3 non tolli
  69. Ergo per aeq. 2 et 4 tollatur 32 bis, fiot 3E B. 42, + 19. 40 4 20. d31 - 2 d41 - 41041. Et ex
  70. aeq. 4 fil 32 (= 3. 10 42 + 20193 - = d 41 ) 318 42 = 20 4142 - = d41. quos duos valore H
  71. equado fet de C 1405.1 112. 40 - 404 = 21092 - 20 d g2 - 20 d 34
  72. tine
  73. ficlus 41 = 218. 1240 10
  74. 20. adgepit
  75. esceret d4+. tque aded habemus hine H absonte
  76. 2 d3] in 2 2. 10 240 42. Et ita habemus valorem
  77. d10 210. 2 1 2 dio, 20.
  78. dio 2.312
  79. ipsias d31 sed cundem 1 per 40. sed ertudem ex aequ 3 pottem habere sine 40 explicando d32
  80. per posterictem calorur seu per aq. 4. edc Hos duos rs aquando habetur
  81. Hinc jam habetur 40, atque adeo et gx 40. sed rursus ex aeque 3. habetur a40 sine 40, dum 2 explicatur
  82. per valorem unde abest 40, atque ita habebitur aequalio in qua 31, d31, dd3i et 41, da1 Ad 41, et
  83. 42, d42, dd 42, d42 quae cum sit novisima nec, incognitae invicem ducantur, assumman
  84. tur 31 et 41 sic ut se mutuo tollantu restabunt tantum ac, d4, et dd41, et assumto 42
  85. pro arcirio habebitur 41, atque adeu et d d 41; adeoque caetera omnia. Est ergo
  86. pro artitrio abebi 2.10 42+ 20 de 41 20 20. d42e - 20, 20 d31. Et fiet ad
  87. d40 = 5 d
  88. 42 + 210 d42 + g2odio 1 + 30 di0 d 41=
  89. 2.10.12
  90. 100) d 4r- 2020 43 42 2 1o n.
  91. quae plr aey3 = 4.1041 + 20 d32 ( d43 - 42 (+ 1 A42. 3 Et pro set 433 ponendo valorem ex aeq. 4. fie l
  92. quos duos
  93. d40 = 4. 1 41 - 42 + 3d (1) 42 + 3. 10 d92 - L d (20)dd 42 - f 2 d3 42 - L dd 41 = 31
  94. ipsius a40 valores s et 4 aequando, fiat d(. 6d0) 41 = 4. 10. 41 - 31 0 seu 3) = (4. 10 (D - 1s2. d )) 4
  95. unde ducendo d31 et dd 31 per sed ta non possumus evitare quid maneat 4), d4t, dd4r
  96. Nota sit 432b fit ergo d+2 + 3. 3) =0
  97. 0 S.M
  98. .1D. 10, 3. 43
  99. 10.12.. 42 M
  100. 10404
  101. 10.128. 43
  102. a
  103. A (3)= 12. 20 at 20. 42d10 12 20. 1. 31
  104. 10.20d42
  105. 1220. 141
  106. 1020d43
  107. 5) = n. 20 dar
  108. 1020444
  109. 10. 10.9.7)
  110. 20. 44d10 1220393 X
  111. 19204.175.
  112. 20. 43d10
  113. 20.20451

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 56v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0112?run=74