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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 75

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: 0.90.

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

The machine reads it as

  1. d
  2. F Puncts aaeS JaISC MIa GMLVIo A, D, C, Cc circum duo eorum
  3. B, C ceu polos, rotando angulos magnitudine datos Abl.
  4. ACB, applicenEur CFU-
  5. ra B A. C. Aprimo ad
  6. punctum D, deinde
  7. 2d punctum P, ec no-
  8. centur puncta N, N in
  9. quibus altera crura
  10. BL, CF casu utroque
  11. SC decuManE. AGatUE
  12. recta infinita NN, e
  13. rotentur anguliillimo
  14. biles circum polos suos
  15. B, C, ca lege ut cru-
  16. rum BL, CF vel
  17. BMI, C M intersectio
  18. quae jam sic m incidae
  19. semper in rectam illam
  20. intinitam M N ec cru-
  21. rum B A, C A, vel BD, CD interlectio, quae jam Sit a Trajecto-
  22. riam quaesitam P AD aB delincabit. Nam punctum a, per Lem.
  23. XXF, continget sectionem Conicam per puncta B, C transeuntem; ee
  24. ubi punctum m accedit ad puncta L. M, N, punctum d (Per con-
  25. Aructionem) accedet ad puncta , D, P. Delcribetur itaque sec.
  26. tio Conica transiens per puncta quinque , B, C3 P, D. Q. F. P.
  27. Corol. 2. Hlinc recta expedite duci porest qux Trajectoriam quae
  28. litam, in puncto quoris dato B, continset. Accedat punctum a ad
  29. punctum B, de recta B d cradet tangens quaesIta.
  30. Corol. 2. Inde etiam Trajectoriarum Cenera, Diametri de Latera
  31. recta inveniri poltunt, ut in Corollario secundo Lemmatis XIX.
  32. Scholium.
  33. Constructio prior cradet paulo simplicior junsendo B P, ec in cas
  34. S opus cA, producta capiendo Bp ad B P uc CA P R ad P T; e
  35. per p asendo rectam intinitam p d ipsi S P F Parallelam, inque ca
  36. capiendo semper pd aequalem Pr; ec agendo rectas Bd, Cr con-
  37. currences in d. Nam cum SInE P r ad PF, F R ad PT, pB adZB,
  38. ed 2d PF in eadem ratione: CrUnE P et Dr semiper aqua-
  39. 1C5.
  40. PRINCIPTA MATHEMATICA.
  41. Idem aliter.
  42. LIBER
  43. PRrUVS

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 75. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0109?run=74