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词汇 directrix
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Examples of directrix


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A circular cone has a directrix that is a circle.
Measured along the axis of symmetry, the vertex is the midpoint between the focus and the directrix.
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Other examples are a conical surface with elliptical directrix, the right conoid, the helicoid, and the tangent developable of a smooth curve in space.
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The broken line is the "directrix" of the surface; the parallel lines are its "generators" (or "elements").
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The parabola is the locus of points in that plane that are equidistant from both the directrix and the focus.
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In the following proof, the fact that every point on the parabola is equidistant from the focus and from the directrix is taken as axiomatic.
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For the parabola, the center of the directrix moves to the point at infinity (see projective geometry).
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The focal parameter ("p") is the distance from the focus (or one of the two foci) to the directrix.
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Conversely, two tangents which intersect on the directrix are perpendicular.
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The dashed blue line is the directrix of the ellipse shown.
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The ellipse thus generated has its second focus at the center of the directrix circle, and the ellipse lies entirely within the circle.
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Later uses, along with equidistant and directrix, are vague and metaphorical.
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The "x" -axis thus chosen is called the "directrix" of the catenary.
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The envelope of the directrix of the parabola is also a catenary.
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One description of a parabola involves a point (the focus) and a line (the directrix).
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A parabola has a single axis of reflective symmetry, which passes through its focus and is perpendicular to its directrix.
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The focus does not lie on the directrix.
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As another example, a sideways parabola (one whose directrix is a vertical line) is not the graph of a function because some vertical lines will intersect the parabola twice.
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In one solution of the former problem is the first recorded use of the property of a conic (a hyperbola) with reference to the focus and directrix.
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