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Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light, fol. 149

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. P 149
  2. Secima quinta si FTyperbola inscripta jacet rextusD,
  3. decima lexta E HTyperbola circumscripta jacet (UD
  4. bali do trianguli Dds, X decima septima si HIy per-
  5. bola inseripta jacet sub eadem batI.
  6. Si duae radices sunt aequales e certia signi diversi Fis. 24.
  7. F18. 23.
  8. Fieura erit cruciformis. Nempe duae extribus Hy-
  9. perbolis seinricem decussabunt idq; vel ad verticem
  10. triansuli ab A(ymptotis comprehensi vel ad ejus ba-
  11. Tem. Ouae duae species sunt decima octara X decima
  12. HOna.
  13. Si duae radices unt inaequales ex ejusdem sioni e
  14. tertia est signi diversi, dux habebuntur LEyperbola
  15. in oppolitis angulis duarum atrimptoton cum Con-
  16. choidali intermedia. Conchoidalis autem vel jace- Fic. 27.
  17. (18. 26.
  18. bit ad ealdem partes alrmptoti lua cum triangulo
  19. ab asimptotis constituto, vel ad partes contrarias;
  20. _ hi duo calus constituunt speciem rigelimam et vi-
  21. gelimam primam.
  22. Frperbola redundans quae habet tres diaetros
  23. constat ex tribus IIrperbolis in sinubus alympEoton redundantes cun
  24. acentibus, idq; vel ad angulos trianguli ab alrmpto. cribus Diametris.
  25. 15. 28.
  26. tis comprehensi vel ad ejus latera. Catus prior dat Fig. 29.
  27. Speciem rigelimam secundtam, dt polterior lpeciem vi-
  28. gelImam tertiam.
  29. Si tres alimptori in puncto communi se mutuo
  30. decustant, vertuntur species quinta d sexta in viee vem aundantes
  31. limam quartam, septima X octara in vigelimam cum asymptorii
  32. tribus ad commu-
  33. quintam, e nona in vigelimam sextam ubi Ansuinea ne punctum con-
  34. non transit per concurtum asrmptoton, _ in risel. vergentibus.
  35. mam septimam ubi transit per concursum illum, quo Fis. 30.
  36. Fig. 31.
  37. calu termini b ac d desunt, d concurtus aly mpto- F1 5. 32.
  38. ton est centrum figurae ab omnibus ejus partibus Fis. 33.
  39. Oppoltis
  40. XVII.
  41. Typerbolae duae
  42. XVIIL
  43. Fsyperbolae no-

Cite

Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light, fol. 149. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1677894601:0329?run=74