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Optica Promota, Seu Abdita radiorum reflexorum & refractorum Mysteria, Geometrice Enucleata, fol. 53

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: 0.87.

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

The machine reads it as

  1. D
  2. d. 41. Jet
  3. lo
  4. Si exuno hyperbolae foco ducarur rectula, axi perpendicularis; et ab
  5. aliquo rectelae puncto ducantur duae rectae, una. ad hyperbola verticem,
  6. alcera illius circumferentiae perpendicularis; es a foco hyperbolae
  7. praedicto, ducatur alia recta, occurrens perpendiculari in circumfe-
  8. remtia: erit anculus comprehensus a duabus primis rectis, ferme
  9. aequalis aneulo comprehenso, a terria, e axc hyperbola.
  10. IE hyperbola A C R ex cujus LOCOM, diicatur rectL M Y, adi
  11. M C. perxendicularis; e apuncto T, ad hyperbola verricem
  12. C ducatur una recta TC;. _ ab eodem puncto Y, ducatur altera
  13. ad punctum contactus R, cangenti OR O perpendicularis, I R;
  14. e a fOCOM, ad punctum R, duCATUTMB. Dic angulOS CMR,
  15. CYRfere aequales esse. PrOduICALUT FNGenS Q R O, UE COnCUT
  16. FAL CuM axC inO5:
  17. _ dIaCETO TO,
  18. cucatur circulus,
  19. qui cransibie per
  20. Puncta R, E BI,
  21. quoniam anguli
  22. TMO, TRO.
  23. TUNE reCtI: CrUHI-
  24. que angeti OM
  25. R, OYR, in Ca-
  26. dem circuli por.
  27. tione, inter le a-
  28. Quales 5: aBgulus
  29. aurem RETC, nOD
  30. diftere uIEuM,
  31. ab anguloRTO;
  32. quoniam ER punctum, cadat prove verricem C; (quod semper
  33. evenic proprer brevitacem Linex M P) TaNgenS QRO, COnCUT-
  34. reccum axe, Ferme in verrice C: et probrevicacerectae C, dimi-
  35. nuicur aneulus O. TC, differentia Incer angulOS R M C, R F C:
  36. Ouare (M T fueric breviuscula; crunt anguli R TC, RM C, tere
  37. requales; quod demonstrandum erat.
  38. PrOP

Cite

Optica Promota, Seu Abdita radiorum reflexorum & refractorum Mysteria, Geometrice Enucleata, fol. 53. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/727094130:0065?run=74