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Leibniz-Handschriften zur Mechanik: Dynamika LH 37, 5, fol. 136r

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. 135v); this page is its right half.

The machine reads it as

  1. repraesentat gravitationem totius rectanguli lFG
  2. excentro B. Quaeritur jam quomodo exhibeatur
  3. potentia seu gravitatio, rectanguli _FG. ita
  4. ut C sit infixum in brachio a. Id ita fiet:
  5. investigemus tantum potentiam seu gravitatio
  6. nem dimidii ejus EiF. fis. 4.Id ita fiet: Triom-
  7. gulum EIF. vel aiF fig A: intelligatur
  8. locari erectum super ai figurae ste. atque
  9. ita duci intelligatur in Trapezium fig. S.
  10. iFGn Poductum solidum erit repraesentabit
  11. potentiam triangul aif Quod solidum ita
  12. computabimus: Ai fig. 5. est R427 FG.
  13. est 3. Factum ex iptis R4 24 area Rectam 32
  14. guli iFG. hoc ducatur in if R4
  15. fiet Rg 6561 cujus dimidium est R96561
  16. 32
  17. 18
  18. Jam ut est ba R43. ad FG. 3. ita est
  19. GP. vel ai. Rg 27 ad Pn. ert
  20. R4 27 = R 4 Z = R9 243 X R43 - R9 243
  21. 2
  22. Ducatur in ai R4 27 - xq 2Y3 - R96461) 2187
  23. tujus dividium Rg = 17 Hoc ducatur in
  24. if R4 27 - n1 2 187 productum dividatur
  25. per 4. seu A9 16. fiet R4 7 - - 16221 - 28
  26. Addantur in unum: A46561 + Aq 59094
  27. productum erit summa potentiae Trians ut. EFG.
  28. 16
  29. edtumen im duplicetus
  30. ob duplum trinngulu 1FE. figs. 4
  31. Sed inered si in versum intelligatur Frianyrilum,
  32. Basi versus centrum FG verus centruus rectis convexa, ut
  33. erpen
  34. cnlarter
  35. in fig. 6. ubiba. incidit in mediam FG. ducendum
  36. quidem rursus est in Traperium iaGn. fig. S. dimi-
  37. dium trianguli EFG. nempe ei F fig. 4. aul
  38. aEF fig. 6. sed eo discrimine, quod altitudo
  39. Trianguli IF (Fig. 4) insistere debet ipsia.
  40. figurae 5. et apex E epsi i fig. 5
  41. Ita pro ducetur quidem idem quod ante re cangulum FGP. fig. 5.
  42. nempe R4
  43. 1
  44. 2.
  45. 243
  46. 1
  47. 6561
  48. 2187

Cite

Leibniz-Handschriften zur Mechanik: Dynamika LH 37, 5, fol. 136r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068534:0267?run=74