Circles and Parametrization The blog post about circles, trigonometry, and groups defined a circle to be the set of points in a plane lying at fixed radius \(r\) from a point, the center. In rectangular coordinates, if \(c = (x_{0}, y_{0})\) is the center, then a point \((x, y)\) lies on the circle of radius…
Tag: circles
Circles, Trigonometry, and Groups
Circles In a flat plane, fix a point \(c\) and a positive real number \(r\). The circle with center \(c\) and radius \(r\) is the set of points at distance \(r\) from \(c\). To describe a circle algebraically, we might use rectangular coordinates. Write \(c = (x_{0}, y_{0})\), and let \((x, y)\) denote the coordinates of a general point on the…