Lenses and systems of lenses, treated after the manner of Gauss (1884)
Pendlebury, Charles · Cambridge, Deighton, Bell, and Co. · leaf 25
andThen we have therefore 14. To find a relation between the distances of two con-jugate points from the foci. XF =d\XF = d\d =u-f,d- = v-f;dd={u-f)(v-f)= uv- uf - vf-^ff =ff (7) This relation, dd! =ff\ is called Newtons formula. 15. To our degree of approximation, the tangent plane at thevertex… … Then we have AQ = ^Xtana,^(3 = ^Xtana,AQ __AZtanaAq~ AXX^nal therefore ^Xsina . , , FX AX_AX FX~ aince PX, FX differ from AX, AX only by quantities of the REFRACTION AT A SINGLE SURFACE. 11 second order; therefore AQ = AQ, therefore the points Q, Q and P coincide to our degree ofapproximation.…
Lenses
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