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  2. Parabola - Wikipedia

    en.wikipedia.org/wiki/Parabola

    The definition of a parabola by its focus and directrix can be used for drawing it with help of pins and strings: [9] Choose the focus and the directrix of the parabola. Take a triangle of a set square and prepare a string with length | | (see diagram).

  3. Focus (geometry) - Wikipedia

    en.wikipedia.org/wiki/Focus_(geometry)

    The ellipse thus generated has its second focus at the center of the directrix circle, and the ellipse lies entirely within the circle. For the parabola, the center of the directrix moves to the point at infinity (see Projective geometry). The directrix "circle" becomes a curve with zero curvature, indistinguishable from a straight line.

  4. Eccentricity (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Eccentricity_(mathematics)

    A family of conic sections of varying eccentricity share a focus point and directrix line, including an ellipse (red, e = 1/2), a parabola (green, e = 1), and a hyperbola (blue, e = 2). The conic of eccentricity 0 in this figure is an infinitesimal circle centered at the focus, and the conic of eccentricity ∞ is an infinitesimally separated ...

  5. File:Parabola with focus and directrix.svg - Wikipedia

    en.wikipedia.org/wiki/File:Parabola_with_focus...

    A parabola, showing directrix (L) and focus (F). Generic points marked for explanation. File usage. The following page uses this file: File:Parabola with focus and ...

  6. File:Parabola with focus and arbitrary line.svg - Wikipedia

    en.wikipedia.org/wiki/File:Parabola_with_focus...

    A parabola, showing arbitrary line (L), focus (F), and vertex (V). Generic points marked for explanation. ... Adapted from this image, which shows L as the directrix ...

  7. Conic section - Wikipedia

    en.wikipedia.org/wiki/Conic_section

    Define b by the equations c 2 = a 2 − b 2 for an ellipse and c 2 = a 2 + b 2 for a hyperbola. For a circle, c = 0 so a 2 = b 2, with radius r = a = b. For the parabola, the standard form has the focus on the x-axis at the point (a, 0) and the directrix the line with equation x = −a. In standard form the parabola will always pass through the ...

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