Consider a point B on a circle c(A,|OB|=r), and the tangent t

The resulting transform (f) is a

With the figure centered at the origin, as shown, (f) maps the circle (x/r)

The brakets in [A] denoting the class of all non-zero multiples of the matrix. The transformation is given, as usual, in the projectification of the real plane:

Map (f) reminds to the

An other projectivity, mapping the same circle to the same hyperbola with a different recipe is examined in HyperbolaGeneration2.html .

HyperbolaGeneration2.html

ParabolaProjectFromCircle.html

Projectivity.html

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