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    • https://phys.libretexts.org/Bookshelves/Astronomy__Cosmology/Celestial_Mechanics_(Tatum)/02%3A_Conic_Sections/2.04%3A_The_Hyperbola
      A hyperbola is the locus of a point that moves such that the difference between its distances from two fixed points called the foci is constant.
    • https://phys.libretexts.org/Bookshelves/Astronomy__Cosmology/Celestial_Mechanics_(Tatum)/02%3A_Conic_Sections/2.06%3A_The_General_Conic_Section
      Thus if x is first replaced with x+ˉg/ˉc and y with y+ˉf/ˉc, and then the new x is replaced with x \cos θ − y \sin θ and the new y with \(x \sin θ...Thus if x is first replaced with x + \bar{g} / \bar{c} and y with y + \bar{f}/\bar{c}, and then the new x is replaced with x \cos θ − y \sin θ and the new y with x \sin θ + y \cos θ, the Equation will take the familiar form of a conic section with its major or transverse axis coincident with the x axis and its centre at the origin.

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