Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences, fol. -

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. COLLhRX VI.
  2. cither Dirergins or Convergins: le no reman
  3. 20 add somethins concernins Rays Parallet 0 E
  4. Axis.
  5. In chis Case che Point D must be considered as
  6. infinicelr distane; and consequenty O P, OC, and
  7. C R, are all Intinire; and OP, O C, are in this
  8. Casc ro be accounced alvars equal, (since they
  9. differ bue by a pare ot che Radius oF che Sphel
  10. Rays, and a5 r tos For chosechat Limerse. And by
  11. 20 And all ihe Lrrareles C. L F, Wwherein C ti 1
  12. E0 P F in the Rario siren b ie Desiceo lC.
  13. Fraction.
  14. the celebraced Or. WVallis, in his Freatise of Alxe
  15. bra, Pa5. 258. bur che Construction chereot munt
  16. be repearede.
  17. Flicherro we have considered oniy Oblique Rays
  18. GPV L, which is no part ot cither ot chem;
  19. Wheretore che Ratio ot CR, 100 P, Wilt bc 2l.
  20. ays che Caire, viz. A5s eo r For Immergins
  21. ehis Proposirion C F isto P L in chelame Ratio:
  22. Ir remains cheretore ro Meu on che Bale CP
  23. Ehis Problem has beeh very tully considered by
  24. LEEOP V LBCa Lens, V C or P C Htie RadtiuS
  25. ot IES Sphere; and ler it be required eo sind alche
  26. POInES f, f, Cuch a5 C F, May be to Ps in che gi
  27. ven Racio oE stor TOr Bin S RaYS, OP 25r 1C
  28. Divide C V in K, and continue C V 1O F, char
  29. nued CP eill ir inversect the Circle in F, P F MaII
  30. De alvays equalro Vf che Distance oF che Focus
  31. ot each respectire Parcet OF RaySO P, FrOM thC
  32. Vercex or Poe osche Lens.
  33. Demonstration.
  34. sForthe Prersins.
  35. CR May DC FO V R, and C F 1OV F in che pro-
  36. Posed Rario: Itien divide K F equallr inche Point
  37. ; and wichettac Cenere (vcep the Lircle FR F;
  38. ehis Circle beins drawn, sires ceadils all che Foc
  39. OF che Parallel RaySOP, OP. Forhavins conri-
  40. Racio.
  41. equal ro che Angle of Incidence, and che Angle a
  42. Prothe Retracted Ansle; Wheretore P Frhe Side
  43. oppolire co the Anole aE C, is a5 the sine ot rhC
  44. Ansse ot Inciderce, aud C l orpolice 10che dnesc
  45. Draw che Pricke Line V F, ada D) Wobar 15 deli
  46. vered bY Or. WVallis in the atore-Che place, VP
  47. and C F. will be alivays in etie same proposed
  48. Aeain, V fbeins made equal to PF, CF andes
  49. Will bC ARCC CGua do dlC C P and VC; and
  50. equal. Wherelore Pf wrili be equal ro V F, and
  51. the Angles PCF, V CF beins ad verricem, are alic
  52. consequener lf 10 lf in elle same Ratio 25 C F
  53. tOV E; whence, and by whac forgoes, the Points
  54. fifarethe several respectire Foci oF che leveral PaFs
  55. cet ot Ra5SL,I. L L. V.
  56. ThatC F isr0 P F in the Ratio oF che Retracti.
  57. on, in che Cale ol Parallel RayS, Will yer be mere
  58. erident, it ic be considered, chat the Angle ac C is

Cite

Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences, fol. - . Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/806933011:0350?run=74