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rectangular hyperbola वाक्य

"rectangular hyperbola" हिंदी मेंrectangular hyperbola in a sentence
उदाहरण वाक्यमोबाइल
  • The eccentricity of a rectangular hyperbola is \ sqrt { 2 }.
  • A circumconic passing through the orthocenter of a triangle is a rectangular hyperbola.
  • The graph of two variables varying inversely on the Cartesian coordinate plane is a rectangular hyperbola.
  • Dionysodorus solved the cubic by means of the intersection of a rectangular hyperbola and a parabola.
  • In the case of a rectangular hyperbola, its conjugate is the reflection across an asymptote.
  • The rectangular hyperbola xy = 1 can be used to gauge velocities ( in the first quadrant ).
  • These three hyperbolas are all rectangular hyperbolas where the asymptotes are parallel to the x and y axes.
  • Dionysodorus is remembered for solving the cubic equation by means of the intersection of a rectangular hyperbola and a parabola.
  • Note that the locus of the perspectors of this family of rectangular hyperbolas will always lie on the four orthic axes.
  • The unit hyperbola is a special case of the rectangular hyperbola, with a particular eccentricity equals \ sqrt { 2 }.
  • 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.
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