Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 10, 9, fol. 4v

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: 0.85.

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. 3r); this page is its left half.

The machine reads it as

  1. habeo sustectam falsitatis.
  2. estos arcus lingis rectis aequales
  3. Equidem supponendo infinitis
  4. sit circulus ABC. in cum puncto E, sit
  5. tangens infinte parva DE, et ipsi AC
  6. EF, et BG sunus angri la
  7. BGH similia adeoque BE,
  8. parallela DF ad quam perpendicularis
  9. AHB. erunt trangula DFE et
  10. ut BH ad BG. Jam celerit pon
  11. deris descendentis po
  12. tatem aequalie celeitati pri
  13. pE DF. spatia autem inaequalia fun
  14. vis enut spatia celeritates.
  15. ut spatia percursa reciproce ergo et vires,
  16. vis et ponderis incircumferentiae circuli puncto B
  17. descensui motientis est ad vim corporis in jusdem libera descendentis in
  18. perpendientari t,
  19. raum B4 Eodem modo vis ponderis in LD. ad vimpondens
  20. in Nequ est ut Pm ad sinum radium HM.
  21. Jam ponamus pondus descendisse per LD, mnon ert vis i eAt
  22. sinc u acceleratione, ducenda est, quae cum sit infinite parva
  23. s descendentis
  24. (DF ad DE, seu ut rabus BH, ad Anagi
  25. nullam in ea considerabimus accelerationem. Ponendo rodium .
  26. in LD erit PM
  27. dato, em te mpore minore quovis dato BC
  28. spatium BD in tempore DE, et spatio
  29. Erit tempus quo percuritur spat
  30. ad tempus quo percurritur spatium AI
  31. ait ADE ad AFG, seu in duplicuta spattor
  32. latione. itoque si mobite
  33. spatium . pedis unius descende
  34. haen s simpulo secundo unico, descendet per
  35. duorum sempulis secundis quatuor, aetque ita relardacitur mns
  36. Jam contraflugamus AB esse vel AD vel AF esse
  37. leum et BC DE, FG esse spatium, erunt spatia percursa
  38. in suplicata temporum raive, et per consequens; ita motus acceerabitus
  39. in ergo considerandum est velut partes axis; vis
  40. in quonoce momento temporis expreita velut differentiae
  41. Pone corpus aliququod grave descendere in aecta AF
  42. dc primum perpurrece AB. spatium minus
  43. F in tempore FG, erat spatia in
  44. vis acquisita in quolibet nomento temporis,
  45. velut ordinatae;
  46. spatia percursa uit spitia poctiones
  47. figura ausem est seu
  48. y Y va-y
  49. frgura 8. Hcrentiam seu viriu simplit
  50. X. maximo
  51. (9) X - 2yX
  52. 2yX.. 4
  53. l- f1.
  54. E X (+ais a Cy
  55. -4 sa BX + 2y.
  56. Oy (1) = say
  57. X B a - y Ego
  58. 2yAX. 2y1 y + La - y; ou y a-y
  59. ou y 7 a- 9. ou 29 7 a.
  60. Z1V2aZ-Z
  61. fe dazC
  62. +co - fcz ... pat
  63. A Bco cot
  64. 2Z5 co +a.
  65. 2H aZ
  66. a -Z + Vra Z - Z Cd. Ergo 2aZ. Z p, ∞ +Z - a
  67. c + 2c07 = 2a, + Z - 2 a7 + a2. Ego
  68. Z +Haq .fco + s C0.
  69. Cor +ZCd DZ + co rDa.. Z + Sia. 27 a
  70. (DC Z senz. Z l raz. Z p7 a - 1a2 +7
  71. +Z+ a HV3l.
  72. = 2aZ - a 0 Z
  73. pa2. X n5 (trase ae ce 3a f a Bea n cerir
  74. a, sive Z +2
  75. et q - eaz 2aZ- Z Y 2a B3= 3a. a
  76. Ergo 8a3- 3a772a
  77. 8a t3 5a
  78. Entsi + 6a ofi to H

Cite

Leibniz-Handschriften zur Mathematik LH 35, 10, 9, fol. 4v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068162:0008?run=74