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Leibniz-Handschriften zur Mathematik LH 35, 11, 18C, fol. 77v

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: 0.77.

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The machine reads it as

  1. 2 formali
  2. Sect. III. Cap. t De Actionu motus et Effectu
  3. indicem vel exponentem seuratio L’ ad M (2 ad 16) ett ra
  4. tionis A ad B (cu ad 4) triplicata subduplicata, vel ratio A
  5. C
  6. ad B est rationis L ad M duplicata subtriplicata; Cum enus
  7. c
  8. ratio L ad M. sit ut euborum (nam 2, 16, 128 etc. estut 1
  9. 8, 64, etc.) ratio A ad B eit ut quadratorum (nempe 1,
  10. c
  11. 4326, etc.) Eademgi locum habent in aliis omnibus, etiam
  12. s
  13. indefinite sit progrediendum in ineterpolanda serie priore ut
  14. in eam mcdat posterior, quemadmorum factum est m calcu
  15. landis logarithmis.
  16. Frop.
  17. Si eadem matoria quantitas moveatur per longi-
  18. tudinem aequales, Telocitates erunt actionibus proportionales
  19. Nan velocitates dix quaecunque A: et
  20. ligi termino seriei progressionia Geometrica; Hac serues
  21. continuetur ut sit A, B, C; itaque respondentes ets actiones
  22. C
  23. LM,N, erunt etiam termini progressionis Gesmetrica,
  24. per prop. 5.) et quidem vel ejusdem seurm ratione simplice
  25. velocitatum, vel in ratione velocitatum secundum nume-
  26. ie
  27. runo centum multiplicata aut submultiplicata (per prop.
  28. a
  29. b. huic) sed quoniam longitudine et materia posita eadim
  30. C
  31. e.
  32. nullius alterius quam solius velocitatis vel temporis (quod
  33. velocitati qua cadem longituedo percurritar reuproce propor
  34. tionale ett) contideratio superetse potett (per. def. 3. Sio).
  35. Hagi nulla fieri potett compositio sive multiplicatio rati–
  36. onum Et proinde necesse ett actiones eandim quantita
  37. tem materiae per eandem longitudinem transfirentes etse
  38. sim.
  39. Smo
  40. s
  41. tra
  42. po
  43. et
  44. Sa
  45. set
  46. n
  47. ab
  48. Ur
  49. ac
  50. se
  51. a
  52. a

Cite

Leibniz-Handschriften zur Mathematik LH 35, 11, 18C, fol. 77v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068193:0156?run=74