rectangular hyperbola उदाहरण वाक्य
उदाहरण वाक्य
- As perpendicularity is the relation of conjugate diameters of a circle, so hyperbolic orthogonality is the relation of conjugate diameters of rectangular hyperbolas.
- The sum of these areas will always be greater than the area without discrimination assuming the demand curve resembles a rectangular hyperbola with unitary elasticity.
- In particular when we choose the rectangular hyperbola " xy " = 1, one recovers the " natural logarithm ".
- Thus, the angles in the original and conjugate hyperbolas are complementary angles, which implies that they have different eccentricities unless ? = 45?( a rectangular hyperbola ).
- The well documented rectangular hyperbolas that pass through four orthocentric points are the Feuerbach, JeY�bek and Kiepert circumhyperbolas of the reference triangle ABC in a normalized system with H as the orthocenter.
- This conic is a rectangular hyperbola and it is called the "'Kiepert hyperbola "'in honor of Ludwig Kiepert ( 1846 1934 ), the mathematician who discovered this result.
- Note also that the one point on the nine-point circle that is the center of this rectangular hyperbola will have four different definitions dependent on which of the four possible triangles is used as the reference triangle.
- *Dao's theorem on a rectangular hyperbola, the this article for this section : " Dao Thanh, Oai ( 2014 ) . " A Simple Proof of Gibert s Generalization of the Lester Circle Theorem ".
- So if a rectangular hyperbola is drawn through four orthocentric points it will have one fixed center on the common nine-point circle but it will have four perspectors one on each of the orthic axes of the four possible triangles.
- Christopher Bath describes a nine-point rectangular hyperbola passing through these centers : incenter X ( 1 ), the three excenters, the centroid X ( 2 ), the de Longchamps point X ( 20 ), and the three points obtained by extending the triangle medians to twice their cevian length.