Search the Nachlass

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 204

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.

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

The machine reads it as

  1. 204
  2. PHITLOSOPMLLE NATDORALIS
  3. DF MorD SCCanS tam PYM in P ec B. quam M F productam in N; ec primo
  4. Conronom si ateractio vel impulsus ponatur unitormis, erie (ex demonstracis
  5. Galilaei) curra F Parabola, cujus haec est proprictas, ut rectan-
  6. culum lub dato latere recto e linca PM aequale sIt (I M quadrato;
  7. sed ex linca _M bilecabitur in L. Unde si ad MI demittatur
  8. xerpendiculum L.O, ∞-
  9. quales CrunE MO, OR;
  10. additis aequa libusON,
  11. OL, HCnE tOEX aequaleS F
  12. MN, FR. Proinde cum
  13. TR detur, datur etiam
  14. MNV; eAque rectangu-
  15. tum NMT ad rectangu-
  16. Jum sub latere recto ec
  17. TM, HOC CA, ad FI M9.
  18. in data ratione. Sed rect.
  19. angulum NMI aequale
  20. eAt rectangulo F M G, id
  21. est, disferentiae quadrato-
  22. rum M L. 93 dc F L.9 ICu
  23. ratione habec ad sui iphus quarram parrem M L
  24. racio MLg -L Lg ad M L. 93 e aru ratio L. I9 ad ML. 9, de
  25. tUx
  26. erSC
  27. L. T9; eC TIM9 datam
  28. racio dimidiata L. T ad ML. Sed in omni triangulo L. MI, sinuS
  29. angulorum sunt proportionales lateribus oppoltis. Eroo datur
  30. racio simus auz scidentiae L M A ad sinum assull CMetSCA
  31. TIX L LR. Q. F. D.
  32. Ca5. 2. Transeat jam corpus successive per sparia plura paralle
  33. lis planis terminata AabB, BbCC, ecc. ec asitetur ri quae lIC in
  34. ngulis

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 204. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0238?run=74