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Bashyboy
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Homework Statement
Let C be a curve given by y = f(x). Let K be the curvature ([itex]K \ne 0[/itex]) and let [itex]z = \frac{1+ f'(x_0)^2}{f''(x_0)}[/itex]. Show that the coordinates [itex]( \alpha , \beta )[/itex] of the center of curvature at P are [itex]( \alpha , \beta ) = (x_0 -f'(x_0)z , y_0 + z)[/itex]
Homework Equations
The Attempt at a Solution
I attached a picture of the solution. The portion of the solution with a half-box I would appreciate someone helping me with.
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