Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 9, 23, fol. 17v

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. 18r); this page is its left half.

The machine reads it as

  1. Continuatio
  2. si descensus ut 1. vel
  3. ejus duplum, triplum, etc
  4. si descensus 2. 3 etc
  5. Ascensus
  6. si descensus ut 1. vel ejgs
  7. duplum triplum, etc. si
  8. descensus, 2. 3 etc
  9. eCorpuu incurrenta ut 10. vel 8 vel del2 ber,1
  10. Corpus excipiens ut 1. quod quiescere intelligitur
  11. Descensus
  12. G
  13. 2a- ab -p2
  14. 24 - ab -ab
  15. 5ab + 3ab
  16. 8 2a + 4ab prab
  17. 3672 8=1 214aL +2ab
  18. 3l 8l 2a+ 4ab +2F I
  19. in eodem plo
  20. fitum AC vel B8
  21. a
  22. divisum in 100 partes et notatum
  23. numeris quadratis 100. 81. 64 eteusque
  24. ad 1. doscendendo. linea horizons
  25. purallelae per lineas divisionis ductae
  26. secabunt circul in punctis intersection
  27. quadrantes CA 10. DB10 centris
  28. C. et D. descriptos, et punctis sectionis
  29. ascribantur radices numerorum quadratorum,
  30. scilicet 10. 9. 8 ene usque ad 1. constat
  31. ex traditis Gaulaei corporum ex 10d 81. 64 etc.
  32. etc. (abstrahendo ab aeris rescistentia)
  33. curpora ex punctis 109. 8. erc. descendentia aequirunt celerita vel reflexione communicatus quiescenti mensurabimus ipsius iscensu; ad aliquod
  34. Erto umque celem
  35. 5
  36. abeb
  37. +2a
  38. 2ab- b
  39. 24- ab - b2
  40. 1 + b
  41. +b
  42. a+ 2ab + b
  43. 2a+ 4ab +2B
  44. 2a = ab -
  45. 2074ab + 262
  46. +113
  47. 2
  48. 328
  49. fit
  50. 2
  51. 5925
  52. 586
  53. +5 a
  54. +3ab
  55. Sa +hab
  56. 5a +3ab
  57. 2a+ 4 ab +2b
  58. 6
  59. lons
  60. es
  61. 289
  62. eb
  63. 1320
  64. 9248
  65. 9248716
  66. 1296
  67. 1 878
  68. 650t+
  69. 1. 1
  70. Corpora duo incurrens et exapiens x pendula intelliguntur ex iioem semidiametris
  71. CA. CB ita ut in peerpendiculari quiescentia se tangant: et circuli quos vibrando describerent
  72. sint in eodem plano, et centra suspensionis in eadem horique ontali non minus
  73. ac centra gravitatis et magnitudinis corporum, A. B.
  74. descendentium celeritates esse ut 10 9. 8 etc
  75. et eandem acquiri celeritatem si ex punctis 109. 8. descen-
  76. dant, ac si ex punctis 100. 81. 64 eH. descenderent. Ergo
  77. te ut 10.g. 8 ete. Rursus corpora habentia celeritatem ut et ascen-
  78. Ergo possumus celetitates in statu tsma quaesircs

Cite

Leibniz-Handschriften zur Mathematik LH 35, 9, 23, fol. 17v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068148:0034?run=74