Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 304v

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: 0.74.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. AB sit X. BC sit y. Quantitatis indeterminate. determinutae vero a. b. c. d. e. f. aequalio celationem exptcen
  2. potest
  3. generalissima seu plenissimique ves foositot
  4. 5
  5. ac
  6. latem has, explica et ad quodcunque exemplum possunt applicari, pro varia explicatione literari
  7. quae et aihito aequales ponentur cum aliqui termini desunt; e Quantitati negilivae quole
  8. non adduntur sed auferuntur Jam ex methodo. langentiam Auidenus vel Slusus
  9. posita CT tangente, et DC vocata h. eriit 7 aequ.. 2ax + cy + d
  10. 2by+ cx + C.
  11. ope habemus ergo un duas aequationes nunam datam quae contiges
  12. duas indeterminatas X et y. alteram, qucventam quae continet
  13. hes 9. X. y. quae ritur _ ex his alia in qua nulla sit V. sed tantum duae hlerae
  14. X. et 7. sive nquaritur relatio ipsius Z sive
  15. Ut ergo collatur), consideratur
  16. =ax - dX - f
  17. ex aequalyne priore habebjo y aequ.
  18. positi p aequ.
  19. by+cx+0
  20. MoB ad salani X sid 1AB
  21. BC pe compend.
  22. p
  23. ex posteriore y sine 3 aego
  24. bx +9
  25. =ax - X - f et 9 uegi CX + e.) fiet ex 2da aequatione fier G ax + d = CxZ - eZ
  26. ee
  27. seu posit a raequ. 2aX +d = cxZ = ez.
  28. et
  29. e)
  30. aequ. 8b 60 fiet y
  31. 10 r 3bZ-C
  32. ergo aequando aeg. Y et 10 fiet PS. aequ. bry + q0. et y aque psqu quam aequaationem
  33. jungendo aequationi 10, fier ps grs aequ. br
  34. aequ. + 4b2gr- 4bcZ+ c2
  35. = ax - dx = F
  36. -4bfZ 44bcfZ -f0
  37. = 4bd7 + +bcd ZY - e d X
  38. 4ab 23 + 4abez ac A
  39. p2
  40. Jesi
  41. CX +O
  42. 26Z- c
  43. =cx = e
  44. rerbax tibeh
  45. ag seu 2bc
  46. qu aequ
  47. Yaeqe. ~C
  48. X Y 2be7
  49. ey
  50. + 2bcd2 2bde Z
  51. dx
  52. +4 abcZX + 4abeZX - 2acK -2aCCX
  53. nn
  54. =2bC CEX - 1b eqZ 4 rbesX
  55. 2bcr X - 2b cet
  56. X +OZX +CC
  57. tce
  58. a
  59. aequ. 4aX + 4 adX - 4 ac ZX - 4 a CZX, + d = 2rZ C 2 deZ, 4 CXZ + 2CO AZ
  60. =bce X
  61. +4bd
  62. e
  63. n
  64. -IZ abcZ X + 4a bX f3bC272 -4aber. XZ + 4abdX - 9bde Z+ bdi at0
  65. Unde ordinando habebrinus:
  66. 3bc X
  67. 22
  68. e
  69. e
  70. +3ac + 4bF
  71. abcdt 2acc. = co2
  72. 13c
  73. cde
  74. +2Ca. 24bcf
  75. 4fC
  76. ubi notabilia: idem semper iumerus liberarm cognitarum in termino quolitet totius aequationes bio
  77. 4ab
  78. articulo
  79. adem signa in quolibet membro eundemque eadem signa artict humerureque articuloum a quolibet in quolio
  80. cirtento ejusdem memori Denique bines articulos cucilibet altiorum mem brocum, ternos un feliorum
  81. A
  82. cC
  83. X
  84. C
  85. 2a
  86. t
  87. e

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 304v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0608?run=74