It generalizes a circle, which is the special type of ellipse in which the two focal points are the same. A chord that passes through the center of the circle is also a diameter of the circle. The chord of an angle is the length of the chord between two points on a unit circle separated by that central angle. As seen in the image below, chords AC and DB intersect inside the circle at point E. The chord function is defined geometrically as shown in the picture. 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. If two chords or secants intersect in the interior of a circle, then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord. It follows from basic trigonometry that: The length of an arc of a circle is l r, where r d / 2 is the radius and is the central angle (in radians) subtended by the arc. Ellipses: examples with increasing eccentricity
0 Comments
Leave a Reply. |
Details
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |