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Optica Promota, Seu Abdita radiorum reflexorum & refractorum Mysteria, Geometrice Enucleata, fol. 49

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: 0.90.

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

The machine reads it as

  1. FOD. 38.
  2. Theorema
  3. Si visibile mistat radios parallelos, insphaeroidem densiratis; erunt api-
  4. ces penicillorum, sinculorum visibilis punctorum, in uno quam proxi-
  5. me plano.
  6. Le Sphaerois densicaris A R C B, Cusus aris CC producetur ad
  7. L DFOcum remOLIOrEM M; e per M ducacur planum I. M TH.
  8. cui normalis scaxis C CM. Dico omnes apicespenicillorum,
  9. exradiis in sphaeroidem parallele incidencibus, ortorum, cadere
  10. quam proxime in planum L M T N. Sic enim unius penicilli
  11. aris FR, normalicer incidens in spharoidis superticiem in puncto
  12. R; e per axem sphaeroidis e penicilli, ducatur planum, Faciens
  13. cum sptaeroide communem sectionem ellipsen A R C B, ex qua
  14. veneratur; cum plano
  15. verOL MTNI, rectam
  16. LM TN; X per pun-
  17. Ctum R, duCACuE una
  18. recta ORO, cangens
  19. ellipsem, _ axi Oc.
  20. currens in O; alia ve-
  21. FO K R, axi ellipleos
  22. Parallela, quae igicur
  23. retringetur in focum
  24. M. seu apicem peni-
  25. cilli radiorum axi pa-
  26. Fallelorum: ducacurq.
  27. per verricem ellipleos
  28. C, recta TC, ipAF R,
  29. Paralleloz quae ideore-
  30. Fringetur in I, apicem
  31. Penicilli, Radiorum
  32. ip(I F R Parallelorum:
  33. Fx quoniam angulus incidenriae IC P, est aequalis angulo inciden-
  34. ciX F RK; erit _ angulus refractionis RHC, angulo refractio-
  35. nis RM C aequalis; crunrq;e triangula C C H, C R M similia; d
  36. juts
  37. 1uS

Cite

Optica Promota, Seu Abdita radiorum reflexorum & refractorum Mysteria, Geometrice Enucleata, fol. 49. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/727094130:0061?run=74