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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 97

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: 0.87.

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The machine reads it as

  1. PRINCIPTA MATHIEMATICA
  2. SECTIO V
  3. De Tnventione Motuum in Orbibus datis.
  4. PROPOSTTIO XXX PROBLEMA XXII.
  5. corporis in data Trajectoria Parabolica moti invenire locum ad
  6. tempus assirnatum.
  7. Sie Sumbilicus ec A vertex principa-
  8. lis Parabolae, sicque 4 ASXMI aequale
  9. arex Parabolica abscindendae A F 5,
  10. quae radio SF, vel post excessum cor-
  11. Poris de vertice deleripta fuit, vel an-
  12. ce appulsum ejus ad verricem descri-
  13. benda eAt. Innocescit quanticas areae il-
  14. lius abscindendae ex tempore ipsi pro-
  15. portionali. Biseca AS in C, crigeque
  16. verpendiculum C H aequale 3 M, e
  17. Circulus cenero I, interrallo H S
  18. descriptus secabit Parabolam in loco
  19. quaesico P. Nam, demissa ad axem
  20. Derpendiculari PO 8x ducta P HI, eAt
  21. ACg + GTI9(= H F g = AO = AG: quad. + FO -C H
  22. 2d.)=
  23. AO9. + FOg = 26AO - 2GTIX FO + AGg + GFIg. Ondo
  24. 2CFXPO(= AO9 + FO9 -26A0) = AOg + = P Og.
  25. PrO AOq seribe AOX
  26. PO0
  27. L 5: des applicatis cerminis omnibus acl
  28. 3FOductisque in 2AS,HCEZGTIX AS(= 5AOXFO + E ASZFO
  29. AO + 3
  30. Ex DO-+ AO -35C
  31. X PO = aTCX A FO = SFO)
  32. Fareae A F S. Sed G FLCTaLZM, d inde FC TT X AS CA 4 ASXN.
  33. Frgo area abscissa AP Saequalis est abscindenda 4 ASXH. Q. L. D.
  34. Corol. I. Elinc CTFY CA 2d S, ut tempus quo corpus deserip.
  35. sic arcum AP ad tempus quo corpus descripsie arcum inter verti-
  36. cem A e perpendiculum ad axem ab umbilico S crectum.
  37. Corol. 2. FF C irculo AS P Per COrpUS motum P PerpetuO tran(
  38. unce, relocicas puncti H est ad velocitatem quam corpus habu. F
  39. PX 1MVS.

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 97. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0131?run=74