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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 288v

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: 0.75.

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. 289r); this page is its left half.

The machine reads it as

  1. seu ponendo y C + H ( set VH W +g. F et
  2. Zdata est et ideo pro
  3. quod in parabola
  4. +9d
  5. 13
  6. significat 1. confiesatur cum
  7. Restat quaerenda non
  8. tantum 4 etd.
  9. et h. et H
  10. seu 4 incognitae
  11. v
  12. sive ponendo Tys pu e, et V prov.
  13. X-1
  14. 1t
  15. b ea aliquid substitur
  16. potest, quo
  17. a
  18. 6_ + qdh e. X Besi(A 1 2. W +24 , W+ 2uf
  19. ds
  20. sige
  21. v
  22. jam
  23. dae
  24. et
  25. n
  26. nosit potat e Zq
  27. 2
  28. aequatone data
  29. 1 l.
  30. conferatur cum,
  31. aequatione data:
  32. Ut rem absolutis constrinamus
  33. ita agendum est 1 at Ratio
  34. inscribendi esto
  35. qam
  36. m con
  37. mo
  38. laterum Trianguli
  39. iatus unum DA, esto
  40. ipsa latus atterum EQ erit A =.
  41. jam Jam ED epo e. et F9. esto V. W
  42. erit AED p . L le-e
  43. Eri aRectangitum vero EFgnem
  44. leer
  45. el + W
  46. 4 q
  47. a
  48. e
  49. + W
  50. e
  51. c
  52. V-d
  53. Ex quatdor incognitis andetermnatis. l. c. d. J7. manifestum
  54. est determinari unam tantum, nisi in parabola, ubi das tantum. Nam
  55. per hanc aequationem determinatur una et, qui data S datur
  56. et V, quia datur e ergo restant indeterminatae duae. ouo diversi
  57. V-5
  58. audem incognitis seu arbitranis in superiori aquatione, sumendae d et h.
  59. nam in parobola, ratoo lateris recti ad transversum In parabola
  60. vero etiam ipsa ratio laterum.
  61. DE ad gE, eum infinita sit. deter
  62. ponvrestareat ttantum incognita du una Respondeo etsi
  63. munata est, ideoque
  64. enfinita non ideo est datadmam conferemus ergo aequationem superiorem cum data
  65. et in olit.
  66. pae
  67. at
  68. ne
  69. Habemus ergo, in sumtua quanitates indeterminatos:
  70. e
  71. J
  72. Si Et aequationes collatitias tantum 4.
  73. v
  74. nis quantitatibus pro arbitrio defincri possuent. Ac proinde g. ponatur jr.
  75. et ponatur X. F, v. habebitur g. (2. 4 per aegd. h. pr 9. per allimam.
  76. dilet h. per secundq et Zlum ic R ectuus 1Z ponemus 5. 0. quam K. ad
  77. us
  78. 1 + Z, - b + Z

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 288v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0576?run=74