| 1. | The eccentricity of a rectangular hyperbola is \ sqrt { 2 }.
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| 2. | A circumconic passing through the orthocenter of a triangle is a rectangular hyperbola.
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| 3. | The graph of two variables varying inversely on the Cartesian coordinate plane is a rectangular hyperbola.
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| 4. | Dionysodorus solved the cubic by means of the intersection of a rectangular hyperbola and a parabola.
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| 5. | In the case of a rectangular hyperbola, its conjugate is the reflection across an asymptote.
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| 6. | The rectangular hyperbola xy = 1 can be used to gauge velocities ( in the first quadrant ).
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| 7. | These three hyperbolas are all rectangular hyperbolas where the asymptotes are parallel to the x and y axes.
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| 8. | Dionysodorus is remembered for solving the cubic equation by means of the intersection of a rectangular hyperbola and a parabola.
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| 9. | Note that the locus of the perspectors of this family of rectangular hyperbolas will always lie on the four orthic axes.
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| 10. | The unit hyperbola is a special case of the rectangular hyperbola, with a particular eccentricity equals \ sqrt { 2 }.
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