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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 60

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: 0.88.

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The machine reads it as

  1. 60
  2. PHILOSOPMILL NATDRALIS
  3. De Moro methodo sive dentur duo puncta P, p, sire dux tansentes L Is
  4. PORPORONFr, live punctum P ec tangens
  5. T R, describendi lunt circuli duo.
  6. Sic EI eorum interlectio com-
  7. munis, ex umbilicis S, FY, 220 illo
  8. dato describatur Trajectoria.
  9. Dico factum. Nam Trajecto.
  10. etoria delcripta (co quod FY)
  11. = SF in FIlipAI eC F FI -54
  12. in LIyperbola sequaTUE aXI
  13. cransibie per punctum P, et
  14. Per Lemma Luperius) tangce
  15. rectam YR. EF eodem argu-
  16. mento vel transibie eadem per
  17. puncta duo P, p. vel tanget re-
  18. Ctao duaS TR, Fr. G. L. F.
  19. PROPOSTTIO XIZ PROBLEMA XI
  20. Circa datum umbilicum Trajectoriam Parabolicam describere, quae
  21. transibit per puncta data, rectas positione datas contins et.
  22. Sic S’umbilicus, P punctum ec TR cangens Trajectorix delcri-
  23. bendae Centro P, interrallo F S describe cir-
  24. culum FC. Ab umbilico ad cansentem demit-
  25. ec Derpendicularem ST, et produc cam ad V,
  26. DE HE TV aequalis sT. Fodem modo descri-
  27. Bendus est alter circulus fe, s datur alterum
  28. punctum p; vel inveniendum alterum punctum
  29. 2 A datur altera tangens fr; dein ducenda re-
  30. _a TF qua tanGAE duOS circulOS FG, fe B
  31. dantur duo puncta F, p, vel tranleat per C
  32. Duncta V, V, S dantur duxe canoentes T R, Fr, vel
  33. s
  34. eanone circulum FC ex cranseae per punctum V,
  35. St datur punctum P e eangens TR. Ad FI demitte perpendicula-
  36. rem SF, canque biseca in K; ex aZC S R, vertice princixali R de-
  37. scribatur Parabola. Dico factum. Nam Parabola, ob aequales
  38. SA ec lR, SP _ FP, transibic per punctum P; ec (per Lem-
  39. matis XIV. COrol. 3.) ob aequales ST ec TV ec angulum rectum
  40. PFR, tanget rectam LR. Q. F. F.
  41. a dalit.

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 60. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0094?run=74