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In mathematics, a hyperbola (/haɪˈpɜːrbələ/ hy-PUR-bə-lə) is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces, called connected components or branches, that are mirror images of each other and resemble two infinite bows. The hyperbola is one of the…
History & Applications
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| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Hyperbola | is a | set of points | 0.90 | text |
| Hyperbola | is a | affine image of the unit hyperbola with equation x 2 | 0.90 | text |
| Hyperbola | is a | affine version of the 3-point-degeneration of Pascal's theorem.Area of the grey parallelogramThe area of the grey parallelogram M A P B | 0.90 | text |
| Hyperbola | is a | affine version of the 4-point-degeneration of Pascal's theorem.Tangent | 0.90 | text |
| Hyperbola | is a | affine version of the 4-point-degeneration of Pascal's theorem | 0.90 | text |
| Hyperbola | is a | essential tool for the determination of the orthoptic of a hyperbola | 0.90 | text |
| Hyperbola | is a | affine image of the hyperbola y | 0.90 | text |
| Hyperbola | is a | Klein four-group.The rectangular hyperbolas xy | 0.90 | text |
| Hyperbola | is a | basis for solving multilateration problems | 0.90 | text |
| the reciprocal relationship x y | instance of | or as the solution of certain bivariate quadratic equations | 0.80 | text |
| eccentricity | instance of | the asymptotes are the two coordinate axes.Hyperbolas share many of the ellipses' analytical properties | 0.80 | text |
| focus | instance of | the asymptotes are the two coordinate axes.Hyperbolas share many of the ellipses' analytical properties | 0.80 | text |
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