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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 215

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. PRINCIPTA MATTIEMALICA
  2. 215
  3. Corol. 4. Spacium vero 2 corpore descriptum differentia est duO- L IDEN
  4. rum spatiorum, quorum alterum est ut tempus sumprum ab initio SECVNDVS.
  5. descensus, ex alterum ne velocitas, gux criam ipso descensus inieio
  6. aequantur inter (C.
  7. PROPOSITIO IV. PROBLEMA II.
  8. Posito quod vis gravitatis in Medio aliquo similari uniformis sit;
  9. ac tendat perpendiculariter ad planum Horizontis; definire mo-
  10. tum Projectilis in eodem, resistentiam velocitati proportionalem
  11. patientis.
  12. E locoquoris D egrediaturPrO-
  13. jectile secundum lineam quam-
  14. vis rectam D P, et per longitu-
  15. dinem D P exponatur ejuldem
  16. velocitas (ub inieio mOTUS. A
  17. puncto F ad lincam Hlorizonta-
  18. lem DC demittatur perpendi-
  19. culum F C, _E SCCCEUF D C in A
  20. UE AIE D A ad AC uE resistentia
  21. Medliis ex motu in alcitudinem
  22. Tub initio orta, ad rim gravi-
  23. tacis; vel (quod perinde est) ue
  24. lic rectangulum sub D _ D F
  25. ad rectangulum sub AC e C F
  26. Ut resistentia cora (ub initio mo-
  27. cus ad vim gravicacis. Asympeotis
  28. DC, CP, describatur LIyperbo-
  29. la quaeris CT BS sccanS Perpen-
  30. dicula DG) AB in G _ B; &
  31. compleatur parallelogrammum
  32. DEKC, cajus latUS GH SCCCE
  33. AB in G. Capiatur linea N in
  34. ratione ad QB qua D C NIE 2C
  35. CF; _ ad rectae DC pun-
  36. etum quodris R crecto perpen-
  37. diculo RT, quod TIyperbola
  38. in T, de rectis C. II, CR, D F
  39. in B, t _ V OCCUrrAE; in eo cape Vr aequalem
  40. p
  41. 23 vel quod per.
  42. inde

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 215. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0249?run=74