Lenses and systems of lenses, treated after the manner of Gauss (1884)
Pendlebury, Charles · Cambridge, Deighton, Bell, and Co. · leaf 24
efoci. These relations we will now determine. 13. To find a relation between the distances of two con-jugate points from the centre of curvature of the refractingsurface. Let G be the centre of curvature and A the vertex of thesurface, X the origin of light, XP the path of a ray whichmeets the… … lXPB=^\ therefore /*„{- + ) = /*i (- + ) + Mh\ Let OX =jj CX = qCA =r andarc AP = hThen we have /t„ sinXPB = fi, sinXPB;therefore /t, sin [PGA + PXA) = /*, sin [PGA + PXA); h h \ (h h ■ =/*i -+ — p-r) \r g• Hence, to the required degree of approximation, we have r[p-r) r[q — r)therefore i^/^o (2 -…
Lenses
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