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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 226

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. 226
  2. PHITLOSOPHITSE NATURALIS
  3. COnPONVM Una cum. in n a An - erit nihil. EE propcerea momentum ip.
  4. GuSL. CCu A eric
  5. no
  6. An F L Q. F D.
  7. Ca5. 5. EF cum A in A SIC A, momentum ipsiuS A ductum in
  8. 2A= erit a, Per Ca5. 3: ideoque momentum ipsius A crit q A3
  9. sIvC = a A Z. EF ZEnCTAlIEeE SI POnatuE An aequale B, erit A ∞-
  10. quale B, ideoque ma Am == sequale nbB, - 2 ec maA aequa
  11. M
  12. m-n
  13. ICnbB SCu nbA n 2dCOquC a A n aequale b, id est, aequale
  14. momento ipsius A 9. F. D.
  15. Ca5. 6. Psitur Cenita cujuscunque Am B momentum cAt mo-
  16. mencum ipsius Am ductum in B una cum momento ipsius B du-
  17. Eto in A, id est ma A = 2 B L nbB == Am; idque sire dignita-
  18. cum indices m ex n sinc inceori numeri vel Fracti, sive afirmati-
  19. vi rel nesatiri. EE Par eA ratio concenti sub pluribus dignitati-
  20. buS. 2. F. D.
  21. Corol. T. Fline in continue proxortionalibus, si terminus unuS
  22. datur, momenta terminorum reliquorum crunt ue iidem termini
  23. mulciplicati per numerum intervallorum inter iplos ec terminum
  24. datum. Sunto A, B, C, D, R, I continue proportionales; et sI
  25. decur terminus C, momenta reliquorum terminorum crune inter
  26. (C UE = 2A, = B, D, 2E, 3F.
  27. Corol. 2. FE si in quaruor proxortionalibus duxe medixe dentur,
  28. momenta extremarum erunt ut caedem extremae. Idem incelligen-
  29. dum est de lateribus rectanguli cujuscunque dati.
  30. Corol. 3. FF i summa vel disterentia duorum quadratorum decurs
  31. MOMENEA laTETUM CTUNE reCipTOCC UE latOTA.
  32. Scholium.
  33. In liceris quae mihi cum Ceometra peritillimo Cr. Ci. Leibnitio at
  34. nis abhinc decem intercedebant, cum signiticarem me compotem
  35. esse methodi decerminandi Maximas ex Minimas, ducendi Tangen-
  36. ces, ec similia peragendis qua in terminis lurdis xeque ac in ratio-
  37. nalibus procederet. ex liceris transpoliris hanc sententiam involven-
  38. ibU
  39. DE MOTD

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 226. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0260?run=74