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Leibniz-Handschriften zur Mathematik LH 35, 10, 16, fol. 4r

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: 0.89.

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. 3v); this page is its right half.

The machine reads it as

  1. admoveata C ad N. sed non potest asumi ratio uscunue magna, quia non potest
  2. esse major quam Nd ad NX utcumque enim removeas C ab
  3. ponamus pondera H et F aequulia et sint momenta reciro se velat
  4. nunquam NL excede t Nd
  5. seu hoc loco conatus recipioce ut distantiae, ea sit momentum
  6. conatus applicatus R, ut conatus upplicatus d , ipsiC
  7. ut De ad cd ad
  8. ut CD ad RC sine con. R: con. C = CD: Rd ita suppono.
  9. ipsi
  10. Rursus NL: NX = con. R: con. C Ex meis demonstratis. Ergo fit
  11. CCd: Ad = NL : NX sed per priora NL: NX = (C N. AV). (Ad: Cd)
  12. Ergo fiet CN : RN, = qu. CD: qu. Rd
  13. qu + equ = CN: RN = eNqu + NDqu, :, R Nqu + Dqu. fiet
  14. CN. RAgu + CN. NDqu = RN:
  15. Huic aequat salis fit ponendo R
  16. Agu t NDqu
  17. RN
  18. Ngu +RN. Nequ. quaeritur CN (ad
  19. enime ANqu + NOqu = RNGu + NDqu
  20. qu (u
  21. Ad. bigu= Rd biqu
  22. CNgu = Adqu CN_ + 4RNqu ANqu
  23. RK
  24. YC Ad bigu 4 qu(Ad. RV)
  25. qu+
  26. Ergo res procedit si Ad qu t majus quam bis RN. Nd, sed hoc semper
  27. non sit minus quam
  28. 2RN
  29. quadratum hypotenusae maj est minus est
  30. N =
  31. nunquam
  32. verum est nam semper
  33. sed maquam sabilimus hypothesin veram, nea sententia
  34. duplo triangulo rectangulo,
  35. nunc adtibeamus
  36. seu ut quadrata sin attractiones sint reciproce ut quadrata distan
  37. E
  38. re R0
  39. NIL: NX = N cd
  40. tiarum fiat con. R. con. C qu. CD: qu. Rd=
  41. fiet CN: RN = Cd: R
  42. cDqu
  43. CNqui-

Cite

Leibniz-Handschriften zur Mathematik LH 35, 10, 16, fol. 4r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068169:0007?run=74