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The equation can be written in parametric form using the trigonometric functions sine and cosine as = + , = + , where t is a parametric variable in the range 0 to 2 π, interpreted geometrically as the angle that the ray from (a, b) to (x, y) makes with the positive x axis.
An ellipse (red) obtained as the intersection of a cone with an inclined plane. Ellipse: notations Ellipses: examples with increasing eccentricity. In mathematics, an ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant.
Such a triple is commonly written (a, b, c), a well-known example is (3, 4, 5). If ( a , b , c ) is a Pythagorean triple, then so is ( ka , kb , kc ) for any positive integer k . A triangle whose side lengths are a Pythagorean triple is a right triangle and called a Pythagorean triangle .