Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 9, 16, fol. 17r

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: 0.87.

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

The machine reads it as

  1. slobu
  2. ex loca 1A tem ut in locum Z, ibiq javenia incurrat
  3. a
  4. pli Hboprioriaqua se ponde
  5. in corro globos inter se aaequalesu et singules padus si dium nos nemu
  6. 1 et C, 1Y uti ambo.B at
  7. pance
  8. simal paumu duqua
  9. l
  10. mnd pondec let omnestres
  11. t rvoluminea
  12. esunt et ponamus 1B. pC, 2A esse dore phiorum globorum
  13. centra, et AM, 1B2 A, aequalem esse ipsi iC2A, angulumque 1B1 AI C esse reclum
  14. cijo post ictum corpus A quidem quieturam in loco 2A corpora a itam BetC recipere impelur
  15. B quidam ex 1B tende c in 2B, linea 1A1B2B continnata celeritate ea qua i
  16. et
  17. A tendens versus ex iA versus 2 A, tendebat simul es 1A versus L. posito 1A esse
  18. ipsi 1AL esC ips. 1B2B aeaal parallelan. (vero similiter ex 1C
  19. endere versus 2C celeritate ea qua Tendens ex 1A versus 2A, tendebat simul
  20. ex 1A versus M, posito 1AM esse parallatam ipsi 1C2C. Ita enim non eadem servatur
  21. quantitas directionis aireua et viriumdirectionis quidem qua centram gravitatis commune omni
  22. eadembi pergit in linea 1A2A eadem quapuque celeritate. Virium autem, quia siponamus 1B2B =1AL
  23. et eA , C2C = 1AM patet quoleata rac
  24. um pel
  25. siutum aB quads B2B (seu 1AL) + quadr
  26. amba
  27. 1(2C (seu 1AM) esse aequale quadrato 1A2A. ac proinde quadrata celeritatum ante concursum
  28. ducta in cujus libet corpus, nempe qu. 1B2B in B _4+ DC2C in C) aequari quadrato celeritatis
  29. ante concursum, in suum, corpus sen, qu. iA2A sles in A) Hinc palet compositiones
  30. do
  31. in angulur
  32. motuum sprectare conciliari, sum principio astimandarum.
  33. celeritatum seu altitudinius
  34. spatiorum. Non vero cum prin
  35. instro aestimande per quan.
  36. titatem motus
  37. verlatur
  38. virium a quadratos

Cite

Leibniz-Handschriften zur Mathematik LH 35, 9, 16, fol. 17r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068140:0033?run=73