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Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light, fol. 7

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. same manner may che Retraction be Found when the
  2. Lens is Conrex on one side and Plane or Concare on
  3. che ocher, or Concare on boch Sides.
  4. A X. VI.
  5. Fhomogeneal Rays nhich Rom from severat Points of any Ob-
  6. sect, and faii almost Perpendiculariy on any reftectine or refra-
  7. etinz Plane or Spherical Surface, Pall aftermards diverge from
  8. lo many ether Points, or be Parallel to so many other Lines, or
  9. converge to se many other Points, either accurately or without any
  10. sensible Frror. And the same thing will happen, if the Rays be
  11. reflected or refracted successively by tuo or three or more Plane
  12. or spherical Surfaces.
  13. The Poine Erom Which Rays diverge or eo which chey
  14. conrerge may be called cheir Focus. And the FocuS ot
  15. che incident Raysbeing giren, thac ot che reflected or re-
  16. Fracted ones may be tound by finding the Retraction ot
  17. any trvo RaYS, as above; or more readily chus.
  18. Cas. 1. Let ACB BC 2 retlectinq or retracting Plane, Fiz. 4.
  19. and 2 che Focus oF che incident Rays, and C q C 2 per-
  20. pendicular eo thac Plane. And il this perpendicular be
  21. produced eo q (0 thac qC bc equal eo C, the point q
  22. Thall be the Focus ot the refected Rays. Or it gC bc
  23. cakcen on che Pame sde et che Plane wrich C and in PrO-
  24. portion co C as che sine ot Incidence co the sine ot
  25. Retraction, che point q Phall be the Focus ot che retrac
  26. ted Rays.
  27. Cas. 2. Tet A C B Be che rehecrins SurFaCC OF anY Fig. 5.
  28. Sphere whole Center is F. Bileet any Radius thereot (sup-
  29. Dosc F C) in Y, and if in chac Radius on the lame Side che
  30. Poine Prou cake che Poines and q. (0 that I O, TF,
  31. aud Tg be continual Proportionals, and che point Q be
  32. tlac

Cite

Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light, fol. 7. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1677894601:0017?run=74