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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 78

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: 0.89.

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

The machine reads it as

  1. 8
  2. BTITLOSOPTITA NATORALIS
  3. DF Moro tique occurrentibus in YY e T. SccetuT tangens in A, itd II H
  4. daronon YI A ad AT, uc cA rectan-
  5. culum sub media proportio-
  6. nali Inter C G _ C F et me-
  7. dia proportionali inter BII8
  8. HD, ad rectangulum subme-
  9. dia proportionali inter D G SE
  10. GB ee media proportionali in-
  11. TeF P Pe IC; e erit A punc.
  12. cum contactus. Nam s rectae
  13. P T Parallela HIX Trajecto-
  14. riam secet in punctis quibus-
  15. vis X a T: erit (ex Conicis)
  16. punctum A ita locandum, ue fuerit PI A quad. 2d. AT quad. in r2-
  17. tione compolita exratione rectanguli X IIY ad rectangulum B FY D
  18. seu rectanouli CC F ad rectangulum D CB EE ex ratione rectan
  19. guli BII D ad rectangulum P IC. Invento autem contactus
  20. puncto A, describetur Trajectoria uE in CaTU PRIMO. O. F P
  21. Capi aurem pocest: punctum vel inter puncta I _ Y, vel extra;
  22. ee perinde Trajectoria dupliciter delcribi.
  23. PRODOSITTO ZXIV. PROBLEMA XVI.
  24. Trajectoriam describere quae transibit per data tria puncta rectas
  25. duas positione datas contine et.
  26. DEnEUE TanGenteS TYY, K L. &
  27. puncta B, C, D. Per punctorum
  28. duo quaris B, D avc rectam in-
  29. Finitam BD tansentibus OCCur-
  30. rentem in punctis LI, R. Deinde
  31. etiam per alia duo quaeris C) D
  32. asc intinitam C D tangentibusoc-
  33. currentem in punctis L, L. ACtaS
  34. Ita (eCa In R EE S, UE SIE F R 2d
  35. R R ut est media proporcionalis
  36. inter BTI _ F D ad mediam
  37. proportionalem inter BK _ R D;
  38. ec (S ad L. S ut eAt media prO-
  39. portionalis inter CT_ PD ad me-
  40. diam proporrionalem inter C. L
  41. E
  42. u0-

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 78. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0112?run=74