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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 59

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: 0.91.

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

The machine reads it as

  1. PATNCIDTA MATTIEMATICA.
  2. SFCTIC
  3. De Inventione Orbium Ellipticorum, Parabolicorum Hyperbolico-
  4. rum ex umbilico dato.
  5. L F MI M A XV.
  6. Si ab Ellipseos vel Ryperbola cujusvis umbilicis duobus S, FI, ad
  7. punctum quodvis tertium V inftectantur rectae duae SV, FIV.
  8. quarum una TIV aequalis sit axi principali ficurae, altera SV a
  9. perpendiculo TR in se demisso bi-
  10. secetur in T; perpendiculum illud
  11. TR sectionem Conicam alicubitan
  12. set: e contra, si tangit, erit LIV
  13. aequalis axi principali fiourae.
  14. Secet enim perpendiculum Y R re-
  15. ctam FTV productam, si opus Fuerie,
  16. In R; ec jungatur SR. Ob aequalCs
  17. S, TV, aequales CrUnE _ recta SK, V R ex anguli Z RS, Z RV.
  18. Onde punctum R erit ad Sectionem Conicam, ec perpendiculum
  19. TR tanset candem: _E CONETA. G. F. D.
  20. PROPOSTTTO ZVIII. PROBLEMA Z.
  21. Daris umbilico axibus principalibus describere Trajectorias F. lipti
  22. cas e Hyperbolicas, quae transibunt per puncta data, rectas po-
  23. sitione datas contingent.
  24. Sic S communis umbilicus Rourarum; AB longicudo axis prin-
  25. cipalis Frajectorix cujusvis; F punctum per quod Prajectoria de-
  26. DEE FranSIrC; _ T R recta quam debet tangere. CCnErO F inter-
  27. vallo AB =SP, A orbita sIC EILip (IS, vel AB F SF, RI C2 SIC IIY-
  28. verbolas delcribatur circulus FC. Ad tangentem Y R demittatur
  29. erpendiculum SF, ec producatur idem ad V, uE sic ZV aequalis
  30. centroque V e interrallo AB describatur circulus P IL. IIaC
  31. methodo
  32. L.2
  33. PRIMVS

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 59. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0093?run=74