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Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light, fol. 144

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. 144.
  2. BC e ABIcissam AB detinitur, Temmper induet hanc
  3. FOTIAM XY = aX-) DXZ F CX-F d.
  4. Ouod si crura illa opposita Parabolici sint generis
  5. recta C. B C ad Curram utrinque, E Heri potest, ter-
  6. minata in plagam crurum ducatur a bilecetur in B,
  7. et locus puncti B erit linea recta. Sit ista AB, ter
  8. minata ad datum quodris punctum A, e sequatio
  9. qua relatio inter Ordinatam BC. X AbIcisam AB
  10. detinitur, semper induet hanc Formam, Yy = aX
  11. FDXX + CX ] d.
  12. At vero E recta ilta C. B C in unico tantum puncto
  13. occurrat C urrae, ideoq; ad Curram utrinq; terminari
  14. non postit: sit punctum illud C, X incidat recta illa
  15. ad punctum B in rectam quamris aliam positione
  16. datam X ad datum quodris punctum A terminatam
  17. AB: X aequatio qua relatio inter Ordinatam BC. 8
  18. ABICilam AC detinitur semper induet hanc Forma,
  19. Y = 4X3. ] bZX- ] CX Y d.
  20. Finumerando curras horum casuum, IIyperbolam
  21. vocabimus inscriptam quae tota jacet in Alimptoton
  22. angulo ad instar Arperbolae conicae, circumscriptam
  23. quae Alymptotos secat X partes abscictas in Cinu (uo
  24. amplectitur, ambieenam quae uno crure infinito in-
  25. scribitur ex altero circumscribitur, convereentem
  26. cujus crura concaritate lua seinvicem respiciunt de
  27. in plasam eandem diriguntur, divergentem cujus crura
  28. convexitate sua seinvicem recipiunt a in plagas con-
  29. trarias dirisuntur, cruribus contrariis praeditam cujus
  30. crura in partes contrarias convexa unt _ in plasas
  31. contrarias infinita, Conchoidalem quae rertice concaro
  32. _ cruribus divergentibus ad alymptoton applicatur,
  33. ansuineam quae Aexibus contrariis alymproton secat
  34. e
  35. Casus terciu.
  36. Casus quartus.
  37. Nominaformu
  38. pum.

Cite

Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light, fol. 144. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1677894601:0324?run=74