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Leibniz-Handschriften zur Mechanik: Dynamika LH 37, 5, fol. 135v

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: 0.88.

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. 136r); this page is its left half.

The machine reads it as

  1. jam ut inveniatur centrum gravitatis
  2. d seu recta Cd, et recra d7. resolvi
  3. intelligatur hoc triangulum in tria triangula
  4. isoselia, inter se aequalia FdG. GdE
  5. Ed F. Et uuiue eorum ut GdE. area
  6. er it tertia pars areae totius Tranguli R9
  7. vel Aq. 243. Dividatur ergo area per 3. seu Rp. 9. fiet
  8. fiet Rq 3f7. area Trianguli GdE.
  9. 4
  10. s
  11. as
  12. quae alioquin etiam fit ex dluctu baside.
  13. in altitudinem d3. ergo si Ag 27.
  14. area basi Trianguli GdE. dividatur per
  15. basin GE. 3. seu Rg. g. habebimus R4=
  16. digidiam
  17. pro da. quae si auferantur ex Fh. alti-
  18. 8
  19. in figura prima
  20. tudine, quae est Rq 22 erit Ed. distantia centri gravitatis a puncto suspensionis a
  21. Ry 27 R4
  22. etiam
  23. ab distantia. ab. esto R Xerit in fig 1 bad. bEd.
  24. + + Rg 27. Ponderali Travitubit.
  25. ergo Triangulum ex Rg 27. At in fig. 2.
  26. 4
  27. travitabit x bad. quae componetur ex ba Rq
  28. et ad. Rq3. Erit summa bad. R4=
  29. seu Rg vel Aq3
  30. 244
  31. Euc ut est
  32. admissa
  33. Rg. 12. ad Rg. 4 ita erit, xhypothesi calculi
  34. centri gravitatis, Triangulum EFG in
  35. fig. 3. ad idem in 4secunda fig 2da.
  36. seu natio erit Rq seu Ha _
  37. seu D
  38. Esto in fig. 4. idem Triangulum EFG. et linea
  39. bai. quae in fig. 2 esto intelligatur rect angulum
  40. IFG cujus longitudo bai. latitudo FG
  41. fiat in fig. Triangulum rectangutum,
  42. cujus alti tndo bai. basiparallela in a.
  43. sit F G. erit recta R ectangulum IFG. fig 5.
  44. simile et aequale rectangulo 0 FG fig. 4.
  45. repraesentabitque ejus pondus absolutum, in at
  46. Trapezium ifGn repraesentabit potentiam
  47. seu gravitationem Rectanguli oFG ex centro
  48. bfiet totum Triangulum bin. F9. 5.
  49. + viceversa
  50. facit 14..

Cite

Leibniz-Handschriften zur Mechanik: Dynamika LH 37, 5, fol. 135v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068534:0266?run=74