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Leibniz-Handschriften zur Optik und Dioptrik LH 37, 2, fol. 1r

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: 0.96.

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 2v); this page is its right half.

The machine reads it as

  1. roblemata Optica Nova
  2. reperta a
  3. G. G. L. L.
  4. cujus libet-
  5. probl. +. Omnes radios unius puncti objecdi dati
  6. colligere in unam lineam per
  7. refractionem, ita ut radii omnes a dato puncto
  8. ad superficiem refringentem objectivam
  9. Si omnes supenficies refringentes sin sphae.
  10. ricae concentricae; faciantque redios conder-
  11. gentes: radios radii omnes unius puncti
  12. probl. 1. Efficere ut omnes radii a quo-
  13. libet puncto dato objecti dati ducti ad puncta
  14. aequidistantia superficiei objectivae aequidi–
  15. stantia a puncto dato colligantur in
  16. unum punctum.
  17. solutio:
  18. Efficietur hoc: si omnes superficies refrin-
  19. gentes sint concentricae, et faciant radios
  20. convergentes.
  21. Demonstratio
  22. Esto objectum abc. Superficies refringens sphae-
  23. rica objectiva def. cujus centrumg puncti
  24. b radius b4. perpendicularis refractionis expers
  25. beg. continuetur ultra g. Radius bd
  26. refractus in d. ad perpendicularem versus h
  27. incidat in h. in aliam superficiem sphaericam
  28. sik. superficiei def concentricam; et
  29. per quam rursus in medium rarius egredia
  30. tur. Neigitur divergat radiu bdh. ab
  31. irrefracto beq contindato; patet super
  32. ficiem hik. debere concavitatem obevertere
  33. medio densiori. Ita radius su begbd3
  34. secabit radium beq. in l. Eodem moda radius
  35. bf. refractus ad in medium densius
  36. ad K ex densiore refringetur ad l. Idemus
  37. dicendum est de omnibus punctis superficiei def
  38. aequidistantibus a puncto b. quantum ab exd
  39. distat punctum D. Id est qui continentur cir–
  40. cumferentia circuli in superficie sphaerica
  41. cujus diameter est df
  42. Idem dicendum
  43. de radiis ad. au et omnibus aliis in plano
  44. non designabilibus qui continentur circumfe
  45. rentra circuli in supperficie sphaerica,
  46. cujus diameter dn. Colligentur enim omnes in
  47. puncto, O
  48. Observandum est nihil referre sive superficie
  49. def et hik. sint portiones ejusdem sphaerae
  50. sive sphaerarum concentricarum. Mosse item
  51. vel ddhiberi corpucli vel Corpus cylindricum
  52. def. K ih contentum superficiebus sphaericis
  53. Nisse
  54. ram integram defpxit
  55. +sphaericae.
  56. + in media en si

Cite

Leibniz-Handschriften zur Optik und Dioptrik LH 37, 2, fol. 1r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068531:0001?run=74