| 11. | A few other lengths are used to describe hyperbolas.
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| 12. | This provides a simple technique for constructing a hyperbola, as shown below.
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| 13. | Drawing a set of such tangent lines reveals the envelope of the hyperbola.
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| 14. | A circumconic passing through the orthocenter of a triangle is a rectangular hyperbola.
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| 15. | If the eccentricity is greater than one, the trajectory is a hyperbola.
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| 16. | A hyperbola has two Dandelin spheres, touching opposite nappes of the cone.
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| 17. | The hyperbolas then have asymptotes parallel to the non-primed coordinate axes.
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| 18. | Now the line of the centres is a hyperbola.
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| 19. | Its intersections with horizontal planes consists of alternating hyperbolas.
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| 20. | Two different hyperbola will be formed on either side of the tangent plane.
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