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Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light, fol. 179

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: 0.85.

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

The machine reads it as

  1. l179
  2. nIEUI. POnC jaM e =F. F Fa = 5. 5 a = F _C. X
  3. In aFCA ZRAX A--B,1-(-C 221 ]. D23n XC. Ecribe ip
  4. Torum A, B, C, _C. valores inventos e prodibit
  5. leries propohta. J. L. D.
  6. tit notandum est quod Ordinata omnis duobus
  7. modis in seriem resolvitur. Nam indexn vel afr-
  8. matirus est potest vel negatirus. Proponatur Ordi-
  9. 3K lZ2
  10. nata 22 st2 123) m24. laec vel sic scribi Potest
  11. 7. 2X ZL I~2XK 122 M23, vel SIC ZX - 1- 3H∞ 2
  12. XI -12 -,K2 3 =2. In Casu priore eAt a = ZH. D = 0.
  13. C - - - 1. C = - k. F = -0. 8 - -l. H = -M. a -
  14. 2 v-
  15. 1. C - - -. V =- 0. In
  16. posteriore es a = - - l. b =- 0. C = 3k. C--m. F---1.
  17. 3- -0. h --1. 2 -- - 1 - - - 1. 8 - 1 - - 1. D - - 2. F - - 2
  18. 1
  19. t =- -r. V =- -. Pentandus est calus uter
  20. que. Fit si serierum alterutra ob terminos tandem
  21. deticientes abrumpitur ac terminatur, habebitur area
  22. Currae in terminis finitis. Sic in exempli hujus
  23. priore casu scribendo in serie valores iplorum a, b,
  24. Cus C, Fg8, hu a, B, F, 5, tu V, termini omnes post pri-
  25. mum cranelcunt in intinitum e area C urrae procit
  26. 2
  27. =12 Im3. FF haec area ob signum nesatirum
  28. adiacet abscissae ultra ordinatam productae. Nam
  29. area omnis aftirmatira adjacet tam abscissae quam
  30. ordinatae, nesatira vero cadit ad contrarias par-
  31. tes ordinatae ex adjacet abscistae productae, manente
  32. Scilicet Piono Ordinatae. Hloc modo series alter-
  33. utra e nonnunquam utraque semper terminaEUE
  34. ex tinita evadit h Curra geometrice quadrari po-
  35. test. AC si Curra talem quadraturam non admit-
  36. cit, series utraqe continuabitur in intinitum, a ea-
  37. A a a:
  38. TUM

Cite

Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light, fol. 179. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1677894601:0371?run=74