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Leibniz-Handschriften zur Mathematik LH 35, 11, 18C, fol. 52r

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. ad M
  2. ets
  3. scer
  4. ur qoo
  5. es,
  6. et sd
  7. KML
  8. ed cy
  9. eas
  10. sint
  11. quas
  12. M
  13. 13-
  14. at
  15. totam
  16. se
  17. siter
  18. soli.
  19. A.S.
  20. utum
  21. 10
  22. e0 ar-
  23. olo
  24. ant
  25. Sect. 1. Cap. 3. De Purtibus
  26. m ratione rectarum AB, tunc ipsi virge attrituemus gravi 39.
  27. G.
  28. tatem spetificam mediam, quam si ubique aequalem haberet, tan
  29. tum ponderis haberet quantum nunc; seu eam quam acciperet
  30. si funderetur in massam homogeneam, ita ut aurum et argen.
  31. 1
  32. fum aequaliter distribueretur; nempe in exemplo proposito, si
  33. pormale ABC reprasentabit pondus integrum virgae, cui fiat
  34. aequale retangulum ASdGH, ejusdem cum triangulo altitu–
  35. 6G
  36. gravitatem specticam, attribuendam toti vvirgae
  37. Prop. 17
  38. 1a
  39. Si factum ex applicatis in totum aliquod ordinatim
  40. duetis repretentetur per figuram, cujus basis repraesentet to-
  41. s
  42. tum, altitudines varie repraecentent ordinatim duita; appli-
  43. catum totius resuttans repraesentabitur per rectam constan
  44. tem quae in totam basia ducta figuram pucori aequalem pro
  45. ducit.
  46. 42
  47. Ut si (Fig. 18.) AB sit virga diversarum n diversie pun-
  48. C
  49. eis (B) gravitatum (B) (C.); gravitas iprius virga seu medra
  50. q
  51. et
  52. e
  53. BG
  54. G aequalis figu
  55. c
  56. catis factae. Patet ex definitione 5; addatur prop. 7. et 8.
  57. Def. 6. MeDrM AX T AMEFICrM ett summa
  58. quotcunque quantitatum divisa per quantitatum numerum.
  59. A
  60. he medum Arithmeticum inter 3 et 5, est summa
  61. a
  62. 4, nempe summa 3 plus 5 seu 8, divisa per numerum quanti
  63. 25
  64. tatum, su per 2, fit 4; Sed medium Arithmetuum inter–
  65. tres quantitates, 3,5, 8, ett -
  66. Hujus medis tam late sumti maximus est usus; exempli
  67. cau-

Cite

Leibniz-Handschriften zur Mathematik LH 35, 11, 18C, fol. 52r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068193:0105?run=74