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Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 157r

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. 156v); this page is its right half.

The machine reads it as

  1. et per potetum et. Bavius ve Ex et a hlenf prsiio e eige b p et H. sat pero q. Ct b puo ralitio tacetu X.
  2. Ha arte res velul coguntur ad quidvis
  3. si sit + 3C +4 ( quadrato, cuidam fiat + 2Cd+ dso
  4. 4
  5. pN
  6. et ut jam
  7. et c auferri possit, ponatur D e 2 p, et pro 2C dl, fiet 5C, ao pro C ponendo q
  8. eutd _ 3 pro 2cdl, fiet 3qu12
  9. et stabit
  10. 4+ 16 e 451
  11. 31aC + 4l7
  12. (5) -29 1q
  13. ’et pro quy ponendo c+ Ece + e
  14. sive C 1 4l4 - 3C= 9l7V
  15. Jam er.
  16. 16
  17. i ia
  18. 144
  19. 256 243
  20. 24
  21. g + +IL
  22. B11
  23. 256
  24. 24
  25. 81t
  26. seu 246
  27. 48 + 365
  28. +
  29. 3216 +20
  30. 81 16+12
  31. 2p2, vel 31
  32. et pro da 91
  33. sive
  34. vr
  35. e
  36. vel 91Va
  37. 2 +2d
  38. 6
  39. ponendo, omnes indelerminatas esse 1, fiet: 4 - 3 - 9
  40. seu = seu 4, cujus q. est =, et 49 est 256
  41. 1627 + 4 debeni aequari quad rato, seu 256 + 27216 + st 4,
  42. 2
  43. 101a 10
  44. 01
  45. e
  46. en1
  47. os
  48. 2cC 4ri
  49. =B 1 - 24
  50. C + C seu 4 + 1, - 4 + 1
  51. fiet 16 = 4 ∞4 + 1
  52. 64 Error in eo, quod omnes indeterminatas 16 - ~ +1 +6 -24 +9
  53. 8
  54. posui 1
  55. Nam inveni hic C p, 414 -3e -91
  56. eaque conferendo : 414 - 3C - 9lY 4 6 ec + 2ce l + E3
  57. Ista ergo cuncilia:
  58. 26
  59. ponendo
  60. E
  61. 9l larceliel
  62. et 31c + 4(+ c+ redl + 3 14dl74
  63. d (
  64. +2cd
  65. 4c12
  66. + 2 c dl
  67. ut in hac aequatione habeatur pare valor ipsius m, eud am +8fm + eg + 4f h2
  68. quod ulique feri potest h sumta pro arbitrio, erit que 2m + 2f e h. Sgl + 4f 27
  69. Et resumta aequatione in hitiali, et in ea
  70. A si Hs haec excerpta connescunt restabit subsi
  71. Resumatur Aequatio ipsa, et pro m substituatur ejus valor, caetera sum demta 9, etm
  72. sumantur pro artitrio, fiet: oe Al + e + am + eg gl- em - 8l 89.
  73. fietque 4- +1 -Eg 510 et 917 3
  74. An brevius ita, debet
  75. et habebimus aequationem:
  76. ia
  77. C
  78. +6l + f 1 Z + 2C + fE, destructisque destruendis, fiet:
  79. 61 + fl 2Cl + f c. eritque s 61. 2c (2
  80. +c2 - L
  81. eritque frse
  82. posito c e 1. deber ergo - l, esse quadratus X 2cd +d
  83. seu C ( = l ~ - d2
  84. 2+d
  85. sc
  86. + 6l + le 5 quadrato +
  87. n
  88. 1+ 3i
  89. 253
  90. pr praeterea 6ld t∞d2
  91. _
  92. quadrato
  93. seu 6d -d quad rato quod fut d V Ergo d, debet esse quadratus r
  94. ja
  95. et 6g2 - 12 = g+ erit etiam quadratus g + 69 l f. Gl +29 F etY
  96. Modus efficierdi, ut ex cd + CR + e sint quadratus, pouatur D, CCF Y et dart
  97. et e p, 2 ducatur in se ga Z:, fiet Y a + 2yZ + qu Utbus ex va +Z faciem
  98. une 6 sit (2 +6el + ler ’ a
  99. + 27 4 2
  100. X
  101. r
  102. 2qu 91f27
  103. 324
  104. 162
  105. 452
  106. 256
  107. 324
  108. 1040

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 157r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0315?run=74