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Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light, fol. 154

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: 0.91.

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The machine reads it as

  1. fig. 60.
  2. 154
  3. Si radices illae Tunt signi contrarii habetUE C On-
  4. choidalis cum Parabola ad alteras partes ACYmptoti.
  5. Duae species est quinquasetima sexta.
  6. (Siquando in primo aequationum casu terminus
  7. verbolismi tsyper Uterq; a X _ b X X deest, figura erit FIrperbolismus
  8. sectionis alicujus Conicae. IIyperbolilinum Agurae
  9. voco cujus Ordinata prodit applicando contentum (ub
  10. Ordinata Rrura illius e recta data ad ABCcictam com-
  11. munem. ITac ratione linea recta vertitur in hyper.
  12. bolam Conicam, ex sectio omnis Conica vertitur in
  13. aliquam tisurarum quas hic Fyperbolilmos sectio-
  14. num Conicarum voco. Nam aequatio ad Aguras
  15. de quibus asimus, nempe Xy y ] Cy = Cx F d, seu
  16. =
  17. et V cc + 4dX Y 4 CXX generatur appli-
  18. cando contentum sub Ordinata sectionis Conicae
  19. CtV ec F 4 dX F + CX X _ recta data m ad currarum
  20. Abscissam communem X. Unde liquet quod figura
  21. genita LEyperbolismus erit Iperbola, Fllipleos vet
  22. Parabolae perinde ut terminus c Z aftirmatirus est
  23. vel nesatirus vel nullus.
  24. Typerbolimus Hlyperbolae tres habet alumptotos
  25. quarum una est Ordinata prima ex principalis Ad,
  26. alterae duae sunt parallelae ABICillae AB _ ab eadem
  27. hinc inde aequaliter distant. In Ordinata principali
  28. Ad cape Ad, A5 hinc inde aequales quantitati VC
  29. et per puncta d ac s’agc d8, 8y Alymptotos AB.
  30. Ccistae A B parallelas.
  31. Ubi terminus ey non deest tigura nullam ha-
  32. bet diametrum. In hoc casu E aequationis hujus
  33. CXX ] dX ] CC =0 radices duae AP, Ap sunt reales
  34. XX
  35. Ouatuor TYy
  36. bola

Cite

Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light, fol. 154. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1677894601:0334?run=74