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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 87

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.

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The machine reads it as

  1. PRINOIDTA MATHIEMATTCA:
  2. 87
  3. Bentes alias qualvis duas GCD, FD F. in L _E K. Per harum LIVEn
  4. cangentium non parallelarum CL, FR cum parallelis C F, XL. PxIMOS.
  5. concursus C ec R, Le L. 2gc CR, FL concurrentes in R, e rec-
  6. ta O R ducta ec producta secabit cangentes parallelas C F, RL. in
  7. Dunctis contactuum. Patet hoc per COrol. 2. LCm. XXIV. P. 2-
  8. dem methodo invenire licet alia contactuum puncta, ex tum de-
  9. mum per L. Probl. XIV. Prajectoriam describere. 9. F. f.
  10. Scholium.
  11. Problemata, ubi dantur Trajectoriarum vel centra vel ACymp-
  12. toti, includuntnr in praecedentibus. NNam datis punctis et tangen-
  13. cibus una cum cencro, dantur alia toridem puncta alixeque tansen-
  14. res a centro ex altera ejus parte aequaliter dictantes. A(YMPEOTOS
  15. autem pro cansente habendta est, et ejus terminus intinite dictans
  16. (s ita loqui Fas sIC) pro puncto contactus. Concipe tangentis cu-
  17. julris punctum contactus abire in infinitum, ex tansens vercetur in
  18. Alymprocon, aeque constructiones Problematis xer ec Calus pri
  19. mi Problematis xr vertentur in constructiones Problematum ubi.
  20. ACyMPEOTI dANEUT.
  21. Potovam Trajectoria deseripta CA, InVeMIC HCCL a_s d UmBI
  22. licos ejus hac mechodo. In constructione et Agura Lemmaris XXI,
  23. tac uc angulorum mobi-
  24. lium PBN, PC N cru-
  25. ra B P, CP, quorum
  26. concurtu Trajcctoria de-
  27. scribebatur, sine sibi invi-
  28. cem parallela, cumque
  29. Terrancia sicum revolvan-
  30. tur circa polos (uos B, C
  31. in hgura illa. Interea ve.
  32. ro describane altera an.
  33. sulorum illorum crura
  34. CNI, B N, concurtu
  35. suo R vel k, Circulum
  36. IBRGC. Sic Circuli
  37. hujus centrum O. Ab
  38. hoc centro ad Regulam
  39. MN, ad quam alcera illa crura C. N, B N WLCd ConCuETCbAHE
  40. i

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 87. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0121?run=74