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Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 388

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: 0.83.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. A P P F N D I X.
  2. Ducatur aequatio currae in pd, de fiet
  3. aA-
  4. b6
  5. Jda = (+ aa e)
  6. Aqu. vero differentialis in 3xy ducta PPXBet 3a Xyy dy =
  7. haae
  8. 6b V dX + 3aa
  9. Eritque summa aa,
  10. ob pydy = d = (+ aa + 4ee). d A -
  11. sane qudy F 4dC. Fsujus incesralis dirita per 4. Prxbebit C=
  12. 66
  13. Cee + :aa). A = Saace = aa
  14. inti t
  15. 12663
  16. 466 ~ p (rel NY)
  17. REqui B supra inventa est, scilicet B = eA F aa
  18. at
  19. a
  20. SuPra VerO CTaL dD (==
  21. 3667
  22. Vdx) = (+ aa + ee). d A.
  23. 2aa
  24. Et incegrando reperietur D = (+ aa + ee). A -
  25. raac
  26. bb
  27. Vydy FaC.
  28. 566 F C (vet sub-
  29. Cituendo hujus C Valorem inVENEuM) = = iaa A - aac
  30. aa
  31. 466) abb X 13.
  32. Acque adeo mulciplicando aequationem Der = invenietur D =
  33. +2bb A = iey + ; ~. y3.
  34. In hisce Formulis omnibus A Cenificat aream ABC, unde, si va-
  35. lores reperti licerarum B, C, D substicuantur in duabus primis
  36. aequationibus posterioris tabellae, habebitur ralor incognitae + pro
  37. omni sectione conica in planum ex in latus agitata tam in aëre vel
  38. in racuo, quam intra quemlibet liquorem; li in racuo, crit e =B,
  39. et si in aliquo liquore, cujus graritas specitica sit ad graritatem (pC-
  40. citicam Agurx Olcillantis, ut L ad n, erit B = - 8
  41. Ex hisce repertis Facili nesotio deduci postunt omnia, quae Ccleb.
  42. Tac. Bernoulli tribus tabellis complexus cA in Actis ACad. RC∞.
  43. Paril. Scient. 2703. 2d F. DeC. cui propterea non dintius immora-
  44. bor, nec etiam ostendere necellum duco, quomodo in sectionibus
  45. conicis ralores literarum Y, IE, L, inreniri debeant, cum hXeC reS nC
  46. trronibus. quidem nesotium Facessere possit; quandoquidem y in ha-
  47. rum quantitatum elementis ubique ad duas dimensiones ascendit, adco
  48. 88
  49. Add.

Cite

Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 388. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1066518432:0416?run=74