rectangular hyperbola in a sentence

1. The eccentricity of a rectangular hyperbola is \ sqrt { 2 }.
2. A circumconic passing through the orthocenter of a triangle is a rectangular hyperbola.
3. The graph of two variables varying inversely on the Cartesian coordinate plane is a rectangular hyperbola.
4. Dionysodorus solved the cubic by means of the intersection of a rectangular hyperbola and a parabola.
5. In the case of a rectangular hyperbola, its conjugate is the reflection across an asymptote.
6. It's difficult to find rectangular hyperbola in a sentence.
7. The rectangular hyperbola xy = 1 can be used to gauge velocities ( in the first quadrant ).
8. These three hyperbolas are all rectangular hyperbolas where the asymptotes are parallel to the x and y axes.
9. Dionysodorus is remembered for solving the cubic equation by means of the intersection of a rectangular hyperbola and a parabola.
10. Note that the locus of the perspectors of this family of rectangular hyperbolas will always lie on the four orthic axes.
11. The unit hyperbola is a special case of the rectangular hyperbola, with a particular eccentricity equals \ sqrt { 2 }.
12. As perpendicularity is the relation of conjugate diameters of a circle, so hyperbolic orthogonality is the relation of conjugate diameters of rectangular hyperbolas.
13. 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.
14. In particular when we choose the rectangular hyperbola " xy " = 1, one recovers the " natural logarithm ".
15. Thus, the angles in the original and conjugate hyperbolas are complementary angles, which implies that they have different eccentricities unless ? = 45?( a rectangular hyperbola ).
16. The well documented rectangular hyperbolas that pass through four orthocentric points are the Feuerbach, JeY
    醔ek and Kiepert circumhyperbolas of the reference triangle ABC in a normalized system with H as the orthocenter.
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