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Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light, fol. 156

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. (156
  2. FIyperbolismus Parabolae per hanc aegrrationem
  3. lismi Parabola. dCFMIEUT Z Y Y-F CY = d; ex duas habet alymptotos,
  4. AbIcictam AB _ Ordinatam primam E principalem
  5. AC. IEyperbolae vero in hrac Agura Tunt duae, non
  6. in alimptoton angulis oppolitis led in ansulis qui
  7. lunt deinceps jacentes, idq; ad utrumq; latus ab.
  8. scislae AB, _ vel sine diametro Ei terminus cy ha-
  9. betur, vel cum diametro si terminus ille deest. Ouae
  10. duae species tunt sexagesima quarta e Cexagelima
  11. quinta.
  12. In secundo aequationum casu habebatur aequatio
  13. XY = 283] DZX ] CX ] d. Et Agura in hoc ca(U
  14. hrabet quatuor crura intinita quorum duo Cunt hy-
  15. perbolica circa alimptoton AC in contrarias partes
  16. tendentia et duo Parabolica conversentia e cum
  17. prioribus Speciem Pridentis Fere efformantia. FAq;
  18. haec Figura Parabola ilta per quam Cartelius aequa-
  19. tiones lex dimentionum construxit. Ihaec est igitur
  20. species sexagelima sexta.
  21. In tertio casu aequatio erat Y V = aX F DZX F CX
  22. du e Parabolum desienat cujus crura divereunt
  23. ab invicem X in contrarias partes infinite proore-
  24. diuntur. AbIciCa AB est ejus diameter e species ejus
  25. Cunt quinq; sequentes.
  26. Si aequationis a x- f DX2 F CZ ] d = 0 radices om-
  27. nes AT, AI, AF sunt reales _ inaequales, tigura est
  28. Parabola divergens campanitormis cum Ovali ad
  29. verticem. Ft species est lexagelima septima.
  30. Si radices duae lunt aequales, Parabola prodit vel
  31. nodata contingendo Oralem, vel punctata ob Oralem
  32. infinite parram. Ouae duae species lunt sexagetima
  33. octara et sexagetima nond.
  34. XV
  35. Duo Fsyperbo-
  36. Fis. 6E
  37. Fig. 69
  38. Tridens.
  39. EXVII
  40. Parabolae quin-
  41. que divergentes.
  42. Fig. 70, 71.
  43. S

Cite

Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light, fol. 156. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1677894601:0336?run=74