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Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light, fol. 181

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. F18T7
  2. ponendum est pro R X Potestatis index 2 vel 3 vel 4
  3. negatire sumptus pron. Xt Ordinata ad denomina.
  4. TOrem R. vel R. vel R. vel REC. reducenda.
  5. 25 ]24 - 523- 22 ]82- 43 GuOniam MaeC
  6. UER Ordinata (IE -25. + 24 - 823
  7. Fractio irreducibilis est e denominatoris dirilores
  8. Tunt pares, nemPC Z- I, 2 L, 2 1 _ 7. , 2,
  9. 2.. F2, rejicio magnitudinis utriulque dirilorem
  10. unum e reliquorum 2-- 1, 2 1, 2-) 2 conten
  11. tum 23=32 2 DONO prO R _ ejus quadrati re-
  12. CiprOCUM P PeU R -2 PrO R.=. Dein Ordina
  13. tam ad denominatorem R TCu R- reduco, 8 Ft
  14. 6.
  15. 37
  16. 81
  17. Id CA 23X8 - 92 - . 23X 2 = 32.
  18. 73 = 37 - - 2) quad.
  19. Ft inde eA a = 8. b -- -9. c = = 0. d - - 1, XC
  20. . 5 = O. H = 1. 2 2 = - 2. a = -- F-
  21. B
  22. C = 2. F = -
  23. n = 1. B - 1 = 3. 0 = 4 = F. 5 = 3. t = 2. V = T. FF H15
  24. 222 terminis om-
  25. nibus in tota serie post primum cranescentibus.
  26. Si denig; Ordinata est Fractio irreducibilis ee ejus
  27. denominator contentum est sub factore rationali
  28. e factore surdo irreducibili R, inveniendi sunt la-
  29. Teris R dirilores omnes primi, ex rejiciendus est. di-
  30. vicor unus maenitudinis cujulque e per dirilores
  31. qui restant, siqui sint, multiplicandus est factor
  32. racionalis 2: _ E Factum aequale est lateri R vel
  33. lateris illius potectati alicui cujus index eA numerus
  34. integer, eAto index ille m, e erit a -1 = - r - I, 8
  35. 34 - 4+ X- ] 99. XX- 99X3, 6974
  36. R =R r. m. UF Si Ordinata
  37. 24 - L X cub. 93- ] 495 -. qXX - x
  38. quoniam

Cite

Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light, fol. 181. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1677894601:0373?run=74