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Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light, fol. 158

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: 0.95.

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

The machine reads it as

  1. L158.
  2. plasam cruris alicujus infiniti tendentes Curram
  3. in unico tantum puncto lecant (ut fit in ordinatis
  4. Parabolae Cartelianae et Parabolae cubicae, nec non in
  5. rectis AbIcisae Iyperbolismorum LIyberbolae _ Para-
  6. bolae parallelis) concipiendum est quod rectae illae
  7. per alia duo Curva puncta ad infinitam distan.
  8. tiam lita (ut ita dicam) transeunt. Hlujusmodi
  9. intersectiones duas coincidentes Eire ad finitam
  10. Cint distantiam Cire ad infinitam, vocabiimus pun-
  11. ctum duplex. Currae autem quae habent pun-
  12. ctum duplex describi postunt per sequentia Theo-
  13. remata.
  14. T. Si anguli duo magnitudine dati PAD, PBD circa
  15. scriptione orga- Polo5 Positione datos A, B rotentur, _ eorum crura
  16. AP, BP concursu suo P percurrant lineam rectam;
  17. crura duo reliqua AD, BD concursu suo D descri-
  18. bent sectionem Conicam per polos A, B transeun.
  19. tem: praeterquam ubi linea illa recta transit per po-
  20. lorum alterutrum A vel B, vel anguli BAD, ABD
  21. Timul cranescunt, quibus in casibus punctum D de-
  22. Feribet lineam rectam.
  23. 2. Si Crura prima AP, BP concurTU CUO P
  24. percurrant sectionem Conicam per polum alter-
  25. utrum A transeuntem, crura duo reliqua AD, BD
  26. concursu suo D describent Curram secundi gene
  27. ris per polum alterum B transeuntem _ pun-
  28. ctum duplex habentem in polo primo A per quem
  29. sectio Conica transit: praeterquam ubi anguli
  30. BAD, ABD cmul eranescunE, quo casu pun-
  31. ctum
  32. XXX
  33. Theoremata de
  34. Curvarum de-
  35. nica

Cite

Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light, fol. 158. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1677894601:0338?run=74