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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 67

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: 0.85.

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

The machine reads it as

  1. PRINCIDIA MATIIEMALIBI
  2. C45. 2. Ponamus jam Trapezii latera Oppolita C a B D HON LIBIE
  3. eNC parallela. AsC B d Parallelam AC _ Occurrentem cum rectae PRIWVS.
  4. ST in t, tum Conicae lectioni in d.
  5. ec ipsi Z Q Parallelam agc D MI
  6. secantem C d in MI _E AB in IV.
  7. Jam ob similia criangula B F +
  8. DBN; Cst BF CCUT O ad Y+ uF
  9. D N ad NB. Sic et Rr cA 2d
  10. 19 TCu FS uE D M 2d AN.
  11. Erso, ducendo ancecedentes in
  12. ancecedentes ex consequentes in
  13. consequentes, ut rectangulum FO
  14. in Rr est ad rectangulum F S in
  15. TF ita rectangulum ND MI CA
  16. funse a eCaeL L
  17. ad rectangulum AN B, _E (pEF C a T. Z) R
  18. ad rectangulum F S in FF, ac dirisim ia rectan
  19. est ad rectangulum PSX FF. 9. F. D.
  20. Ca5. 2. Ponamus denique lineas
  21. QuatuOF P ∞ P R, P S, F F non
  22. CsC parallelas laceribus AC, AB,
  23. sed ad ea utcunque inclinatas. P. 2-
  24. rum vice agc F9, Fr parallelas
  25. ipA AC; ec F5, F+ Parallelas
  26. ipA AB; SE Propcer datos anou-
  27. los criangulorum P _g, F Rr,
  28. P S5, F T+, dabuntur rationes
  29. P ad P 9, PR ad Fr, F
  30. ad F S, ec F Y ad P +; atque adeo rationes compolx L X P R
  31. ad P 9 X P r, _ F SX FT ad Fs X PF. Scd, per superius de
  32. monstrata, ratio Pg X Fr ad FsX P + data cA: ErO ee ratio
  33. Q X P R ad PS X FZ
  34. d. F. D.
  35. L E M M A XVIII.
  36. lisdem positis, si rectanculum ductarum ad opposita duo latera Tra
  37. pexii POX PR sit ad rectangulum ductarum ad reliqua duo late-
  38. ra PSXPT in data ratione; punctum P, a quo lineae ducuntur,
  39. tanset Conicam sectionem circa Trapezium descriptam.
  40. K.
  41. ang
  42. t
  43. atum
  44. XT L
  45. PeF

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 67. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0101?run=74