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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 234

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: 0.84.

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

The machine reads it as

  1. 2.34
  2. PFILOSOPMLE NATDRALIS
  3. ConvonbY2 +C+
  4. DR00
  5. C
  6. CunE aECuS GFY ec HI. Prxeterca li ab
  7. Ordinata C F subducatur semisumma Ordinatarum BC ac DP
  8. ec ab Ordinata D I Subdueatur Pemisumma Ordinatarum C IV Sc
  9. F KL, manebUnE arcUUM GY _E HIN TaSIEEX R00 _E R00 + 350.
  10. Hc hxe sunt lincolis L FY ec NY proportionales, adeoque in du-
  11. plicata ratione temporum infinice parrorum T e F, e inde ratio
  12. si est qR + 350
  13. seu R + 250. 8
  14. =TTT + 2MEXNL
  15. substiuendo ipsorum =, GTI, HIP, MI et NY valores jam in-
  16. ventos, cradit
  17. 500
  18. 2R VY+ OO. EE CUM 2 NY SIE 2R00, RC.
  19. Sistentia jam erit ad Gravitatem ut 3500
  20. id eAt, ut 35VI FOO ad +R R.
  21. 2R
  22. YE +O ad 2R00,
  23. Velocitas autem ca est quacum corpus de loco quoris HI, Se-
  24. cundum tangentem HIN corediens, in Parabola diametrum FC
  25. de lacus rectum YN
  26. moveri potest.
  27. seu F habentes deinceps in racuo
  28. FE relistentia est ut Medii densitas ec quadratum relociratis
  29. conjunctim, ec propterea Medii densitas cM ut relictentia directe
  30. ex quadratum relocitatis inverse, id est, ux 38Y I + directe
  31. B
  32. 1 +
  33. inverte, hoc cst, uF
  34. 4.R R
  35. RYI +95. Q. F L.
  36. Corol. T. Si TanGCnS FY N producatur utrinque dONCC OCCUTTAE
  37. Ordinatae cuilibet AF in T: erie
  38. qC aequalis YI = O, adco-
  39. que in suverioribus pro v1. FOO scribi potest. Oua ratione
  40. Relictentia exit ad GraVIEaTeM HE 3SZ HIF ad 4RR X AC Vclo-
  41. IC VR e Medii denScaS CxIE Ut
  42. CitaS CrIE DE =
  43. SX AC
  44. RXHZ
  45. Corol. 2. EE hinc, Si Curra linea P FFP Q detiniatur per rela-
  46. tionem inter balem scu abscillam AC. ec ordinatim applicatam
  47. CII.
  48. DE MOTV

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 234. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0268?run=74