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Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light, fol. 180

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: 0.92.

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The machine reads it as

  1. P180
  2. enm altera converset _ aream dabie approximando,
  3. praeterquam ubi s (propter aream intinitam) vel
  4. nihil est vel numerus integer ex negatirus, vel ubi=
  5. aequalis est unitati. Si ZminOr eM unItate, CONVeF
  6. set series in qua index naftirmatirus est: tin Z unita
  7. te major est converoet series altera. In uno casu
  8. area adjacet abscissae ad usq;e ordinatam ductae, in
  9. altero adjacet abscissae ultra ordinatam producia.
  10. Nota insuper quod s Ordinata contentum eA (ub
  11. Factore rationali e Factore surdo irreducibili R
  12. _ Factoris Curdi latus R non diridit Factorem ratio-
  13. nalem (; Crit a - T = - = _ RV =R. Sin FactOrIS SUT-
  14. di latus R dividit factorem rationalem semel, crit
  15. a 1 = = X -) - Y _ RA+ =R = 1.: si dividit bis, Cxit
  16. a - 1 = - - - 2 8C R ~. 1 =-R + 12: E teF, CFIt a--T = X - 39
  17. _ R~ 1 = -Rr 13. X SC deinceps.
  18. Si Ordinata est Fractio rationalis irreducibilis ce
  19. Denominatore ex duobus vel pluribus terminis com
  20. Posito: relolvendus est denominator in divilores
  21. Luos omnes primos. Et C dirisor st aliquis cui
  22. nullus alius est aequalis, Curra quadrari nequit:
  23. Sin duo vel plures sint dirilores aequales, rejicien
  24. dus est corum unus, ∞ s adtuc alii duo vel plures
  25. sint sibi mutuo aequales _ prioribus inaequales, ic
  26. sciendus est etiam eorum unus, et sic in aliis omni-
  27. Dus aequalibus s adhuc plures lint: deinde divilor
  28. qui retinquitur vel contentum lub diriloribus omni-
  29. bus qui relinquuntur, si plures Cunt, ponendum est
  30. DTO R, E ejus quadrati reciprocum R = pFO RV, PPa
  31. terquam ubi contentum illud est quadratum vel cu
  32. bus vel quadeato quadratum, eEc. Quo ca lu Cjus latus
  33. POHCI.

Cite

Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light, fol. 180. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1677894601:0372?run=74