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Geometry of Gregorian Telescope

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a
b
p
ray
eyepiece
foci
photo
This Demonstration shows the principle of a telescope designed by the Scottish mathematician and astronomer James Gregory in the seventeenth century; it was first built in 1673 by Robert Hooke. The parameters
a
and
b
are the semiaxes of the ellipse, and the equation of the parabola in polar coordinates is
r=p/(1-cos(ϕ))
The ellipse and parabola have a common focus.
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