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Leibniz-Handschriften zur Mathematik LH 35, 5, 3, fol. 6r

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

The machine reads it as

  1. Mellodos tangentium invorsa
  2. cira methoios Tangentium invgisas notandam est, quando ex data BC.
  3. quanitur BD. inquisitionem vel ideo salis difficilem esse, quia BDB habetur
  4. da il smpliciter ad quadutum, ascendens, nam B+y
  5. 1
  6. q
  7. X -- X. a
  8. pr
  9. atqui talis aequatio ordinata serandum aise, non potest ad duas sadlces
  10. L3t
  11. e
  12. mulla
  13. aequales determinatiquia omnis aquatio pora equadratica
  14. ad duos aequa les radices determinari potest; sed conbra ad duas qual
  15. e
  16. oppositas, seu mole naequales, forma sive signo inaequales, jam
  17. determinata est. Esto : Cun malo videndam est an
  18. remedium quaeri possit
  19. sulsti tuta alia nequ adi 24l vel explicando
  20. quod experiemur vel alia inquirendi ratione substituta:
  21. Nenige adn tntum denser haberii potest summaomnium
  22. BG, vel summa omnium L; sed et summa omnium
  23. EF AH. vel FM
  24. Nimenum AE suuma omnium AE aequatur seginen do
  25. AL CA duplicato. Sumum comnimm EFconcabo
  26. AFL CA. dous licato. E Jami cncurum simpler
  27. auctum segmentui simplici aequatur grianus ulo ABL.
  28. e
  29. Eogo summa omnim AH)seu AE + EH, (ponendo EH EF
  30. auu vel summa omnium Ex MF seu EF + EM,
  31. ponendo EM AE) aequitur Triangulo ABL. A+x
  32. e
  33. Appellando ergo AB, X,
  34. BL, p.
  35. 2
  36. BD7I. Erit AD, p.
  37. . adeoque A~ AE XA
  38. 3
  39. vel si mavis et AE erit: -
  40. sive AE p + illet yl 1SyX. porro EF
  41. sine A EF
  42. ~ = AE
  43. 3i - yl + yx. fier: EF ∞X
  44. et EHs NX, et AHO H AE+EH p 2Xl - 2yx + yX
  45. e
  46. 21
  47. sive AH+ 2yl ∞ = yX, Ponamus jam exempli causa AH
  48. v
  49. esse applicatam parabolae quae valeat L fier X
  50. a
  51. H
  52. a
  53. 29l- yx
  54. sive +2lX + yxa -2yla 10. et l p Pna
  55. Est autem L
  56. A
  57. 3
  58. A BC Au bG
  59. cujus quadratum: 4uta = 4 y3a7
  60. 2
  61. Xa2
  62. + +X
  63. N N
  64. AVa-4uaX+ ax+ vxa
  65. rear
  66. L II
  67. ea
  68. el
  69. rya 2 F2ya = 2X
  70. na A Xa, fier: Gp 274 -2X
  71. Xa
  72. m
  73. Y, addatur ei BL Y, fiet:
  74. V ponendo p p GL. Sive
  75. na

Cite

Leibniz-Handschriften zur Mathematik LH 35, 5, 3, fol. 6r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068021:0011?run=73