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Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 23v

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: 0.71.

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. 28r); this page is its left half.

The machine reads it as

  1. 1
  2. Resumamus: dd aequ. aequ
  3. (4. 3
  4. Ex aequ. 2. mit aequ 3 aequ 3
  5. se
  6. (4). =
  7. (4)13. 7
  8. ex nostrir. YL9 +m ∞ + n92 34 ) + g+ 3ng rEp
  9. l
  10. aequ.
  11. Alg+mgg+ng3+ p gt vocemus Z. erit l+ 2mg + dn g2 + 4 pg qu
  12. ergo exargo Ter fet et 6 fiet.
  13. seu fiet:
  14. dy
  15. qim video optimam et compendio sessimam rationem extraheniihs
  16. modo sit
  17. p
  18. Bona est sed vel maxime ostendit
  19. remnon semper socceder
  20. revoonnm
  21. de bet esse. lX + in AX + n X+ P Xem in ili priores diffrcultates
  22. .
  23. aequari quadato: C + redX +ECCXX A
  24. +dd XX +2dex+ e A
  25. (5,
  26. dividatur hac aequatio in tres.
  27. Px. C cex, et nx aqu’2dex,
  28. per aequo erit e aqu sp. Et per cequ. 3 erit d aqu
  29. Restat praestanda aequatio 4. seu lx +
  30. et demique IX +m XX aqu ee HIcX + reC XX
  31. +dc
  32. Deber lx + mXx+ nX + pX aequadi quadrato ab + ex + fXX assinta v inde
  33. seu seu resse aequ. aequ vet XX + 2GHXX Bon hc
  34. Ht
  35. Vv + 2 evX F EfVXK
  36. + ee XXtrefX+ fs 4
  37. e
  38. + ee
  39. )
  40. hor
  41. Divellatu hac aequatio in tres. P X aego et nx aego ret X. et mXXAlxugorVxA e
  42. (6
  43. Ungo
  44. rec
  45. Ex aequ. 2 est f aequ sp. et ex aequ. 3 est e aequ. n unde ex aequatione 4. fiet
  46. P
  47. aequatio talis: + m XX + lX aequ. 2. sp B XX + vX + vV. Ex qua quonentus vator ipsius v
  48. nn.
  49. +p
  50. per v
  51. Sed quomam aqu. 7. ad huc difficilior, nec in ea arbitiariae praeter vi indeterminatam
  52. huc stotius lx nxx 1 n X p d ae quabimus, quadiato a c+ dv + ex +s -
  53. Hinc felciamus Y aequ Z+ C. fiet + m XY +lXego 2 sp XX + n ZX + ZZ + 2CZ + cc
  54. nn XX MCX
  55. 4
  56. 21 cX
  57. Y
  58. 61
  59. dividatur hoc aequo 8. in duas: in XX equ Z2+ 2CZ acc seu sim Nego Z+C
  60. Espc XY
  61. nex
  62. e P ZXX + n gX seu =nn X.
  63. s
  64. t
  65. sed video nihil hinc cegi, quia icognuila X Zec in se ducuntur
  66. 2
  67. C12)
  68. nc ryo 2Sp +n
  69. p
  70. p2
  71. aqu. extr quaerendo xper extinctionem fi et copendii causa faciendo ma i aeguq
  72. in fier +q Xx + lX + 1= 2la V +MMon (8) P- Ex ln ~ = un v0
  73. ece
  74. 2DI Xx _BX G
  75. evic
  76. L8CC
  77. 2
  78. +i J = Enrp
  79. de
  80. aequ.
  81. Ia ato
  82. NIE.
  83. P + v0
  84. 4, 4 - 2b sp
  85. ubi a
  86. aequam o gudiato, ubi iterae
  87. ascenditur ad Cubr
  88. nisi sit 1a- in +nnive divisibilis
  89. per 49- 20. sp
  90. f n + ap9
  91. aequ =+ sP
  92. sp
  93. ddg
  94. ed hoc obiter

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 23v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0046?run=74