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Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light, fol. 141

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: 0.94.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. C24I
  2. Hyperbola primi generis duas Asymptotos, ca P2
  3. Cundi tres, ea tertis quatuor ex non plures habere DO. earum propricta
  4. test, e sic in reliquis. Et quemadmodum partestes.
  5. lineae cujulris rectae inter Fyperbolam Conicam ∞
  6. duas ejus AEymptotos lunt hinc inde aequales: sic in
  7. Ayperbolis secundi generis l ducatur recta quaeris
  8. lecans tam Curvam quam tres ejus ACymptotos in
  9. Tribus punctis, Tumma duarum partium iltius recta
  10. quae a duobus quibutris ACymptotis in eandem pla-
  11. sam ad duo puncta Currae extenduntur aequalis erit
  12. Parti tertiae quae a tertia ACymptoto in plasam con-
  13. crariam ad tertium Curvae punctum extenditur.
  14. Fit quemadmodum in Conicis sectionibus non Pa-
  15. rabolicis quadratum Ordinatim applicatae, hoc et, eran versa.
  16. rectansulum Ordinatarum quae ad contrarias par-
  17. tes Diametri ducuntur, est ad rectangulum partium
  18. Diametri quae ad Vertices Fllipseos vel Llyperbola
  19. terminantur, ut data quaedam linea quae dicitur Latus
  20. rectum, ad partem diametri quae inter Vertices jacet
  21. _ dicitur Latus transver sum: sic in Curris non P’ara-
  22. bolicis secundi generis Parallelepipedum (ub tribus
  23. Ordinatim applicatis est ad Parallelepipedum (ub par-
  24. tibus Diametri ad Ordinatas etres Verticesfigurae ab.
  25. Ccistis, in ratione quadam data: in qua ratione ( (u-
  26. mantur tres rectae ad tres partes diametri inter ver-
  27. tices fsurae litas singula ad lingulas, tunc illae tres
  28. rectae dici postunt Latera recta trgurae, _ illae partes
  29. Diametri inter Vertices Latera transversa. L.F sicut
  30. in Parabola Conica quae ad unam ex eandem diame
  31. trum unicum tantum habet Verticem, rectangutum
  32. CubOrdinatis aequatur rectangulo sub parte Diametri
  33. quae ad Ordinatas et Verticem abscinditur de recta
  34. quadam
  35. Asymptoti C
  36. Latera recta e.

Cite

Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light, fol. 141. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1677894601:0321?run=74