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Optica Promota, Seu Abdita radiorum reflexorum & refractorum Mysteria, Geometrice Enucleata, fol. 55

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: 0.88.

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

The machine reads it as

  1. cuiperpendicularis siC axis PC: per alEerUM FOCuM M, dUCaEUF
  2. aliud planum priori parallelum, I. M Y N. Dico apices penicillo-
  3. rum, Cingulorum superticici ractiancis punctorum, cadere quam prox-
  4. me in planum L. M TN. Sic enim unius penicilli axis F R, per-
  5. pendicularicer incidens in speculum, in puncto R; per quem, e
  6. axem speculi, ducacur planum, Faciens communem sectionem cum
  7. Speculo, elliplem AC RB, ex qua generatur speculum; cum pla-
  8. nisvero, rectas lincas FPK, L. M TN; _ per punctum R, du-
  9. eatur recta DRO, tangens elliplem, ex occurrens axi in O; et ad
  10. idem punctum R, ducatur a Foco P, recta PR, quae ideo reflecte-
  11. cur in alcerum focum M, Peu apicem penicilli radiorum, ex FOCOP 22. FI jus.
  12. divergentium3. ducacurqs ad verricem speculi, ex puncto F, recta
  13. FC, quae reflecterur in H, apicem penicilli, radiorum ex puncto F
  14. divergencium. Sinc icaquo anguli C F R, C PR, aequales; (P2. COr. 22.
  15. rum enim differune uc demonstravimus) erunrq; igicur anguli Hujus.
  16. incidentiae PR F, P C F aequales: _ ideo anguli reAleri G RM,
  17. GC. II, aequales crunc; quare criangula G R M, C C HI Cun similia.
  18. LCUE
  19. OR: GM:: G C: GH,
  20. et ob limilicudinem crianoulorum C RO, OMT, UE
  21. eroDUE
  22. OR: G Mt :: 6O: OT3
  23. SC: 6O:: GH: GT; Si vero punctum
  24. R, non recedar mulcum a verrice ellipseos C: (de quibus peni-
  25. cillis nos cantum loquimur) CC Ferme aequalis erie rectae 603.
  26. eric ergo _CII, quam proxime aequalis iph G P; Incidicigitue
  27. apex penicilli racliorum, ex F divergentium, nempeH, in superfi
  28. Ciem plana, L. M T Nfere: quod demonstrandum erac.
  29. s
  30. aMCOIemIa.
  31. Si supersicies plana, foco speculi hypesbolici convexi (eni normalis
  32. sit axis speculi) mucat radios in speculum; erunt apices conorum
  33. radiosorum reftenm, sineulorum superficiei punctorum, in uno
  34. quans prox plano.
  35. t olu Conden AC b; CujuoanislL
  36. , Toct, M. Illes in toco P, superticies plina racians LP H.

Cite

Optica Promota, Seu Abdita radiorum reflexorum & refractorum Mysteria, Geometrice Enucleata, fol. 55. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/727094130:0067?run=74