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Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light, fol. 162

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. Construi etiam postunt aequationes per HIyperbo-
  2. lilmum Parabolae cum diametro. Ut h construenda
  3. sit haec aequatio dimentionum novem termino penul-
  4. timO CaTENS, d F CXX Y dX3. ] ex FX 5X-] hX
  5. =M
  6. ) kXS F IX =0; allumatur aequatio ad Ayperbolil-
  7. mum illum ZXY = 1 _ Scribendo y PrO =, aequatio
  8. construenda vertetur inhanc ay F CVY F dX yy ) CY
  9. FFxY Y mXXγ. - 8. ] hX -] kXX ] IX3 =O, qua CUT-
  10. vam secundi generis delignat cujus delcriptione
  11. Problema Tolretur. Ft quantitatum m ac s alter-
  12. utra hic deesse potest, vel pro lubitu assumi.
  13. Per Parabolam cubicam d Curras tertii generis
  14. construuntur etiam aequationes omnes dimentionum
  15. non plusguam duodecim, et per eandem Parabolam
  16. e curras quarti generis construuntur omnes dimen-
  17. tonum non plusquam quindecim, Ft BC deinceps in
  18. intinitum. Ft curvae illa tertii quarti d luperiorum
  19. generum describi semper postunt inveniendo eorum
  20. puncta per Creometriam planam. UE si construenda
  21. AE aequatio ~ X ) a X 10-= BX-] CX ] dX ] Cx6] FX5
  22. 8X2 ] hx3 f ixX F kX Y 1=0, e descripta
  23. hrabeatur Parabola Cubica; sc aequatio ad Pa-
  24. rabolam illam cubicam X = y, a scribendo y
  25. PTO X aequatio construenda vertetur in hanc
  26. 74-7 aX 53 =) CXXYY F FXXY - IXX =O, quae e
  27. =dx
  28. BX +KX
  29. aequatio ad Curram tertii generis cujus descriptione
  30. Problema solvetur. Deleribi autem potest haec Curra
  31. inreniendo ejus puncta per Creometriam planam, prop
  32. terea quod indeterminata quantitas x non nili ad
  33. duas dimentiones ascendit.

Cite

Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light, fol. 162. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1677894601:0342?run=74