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单词 directrix
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Examples ofdirectrix

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A circular cone has adirectrixthat is a circle.
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Measured along the axis of symmetry, the vertex is the midpoint between the focus and thedirectrix.
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Other examples are a conical surface with ellipticaldirectrix, 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 thedirectrixand 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 thedirectrixis taken as axiomatic.
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For the parabola, the center of thedirectrixmoves 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 thedirectrix.
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Conversely, two tangents which intersect on thedirectrixare perpendicular.
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The dashed blue line is thedirectrixof the ellipse shown.
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The ellipse thus generated has its second focus at the center of thedirectrixcircle, and the ellipse lies entirely within the circle.
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Later uses, along with equidistant anddirectrix, 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 thedirectrixof the parabola is also a catenary.
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One description of a parabola involves a point (the focus) and a line (thedirectrix).
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A parabola has a single axis of reflective symmetry, which passes through its focus and is perpendicular to itsdirectrix.
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The focus does not lie on thedirectrix.
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As another example, a sideways parabola (one whosedirectrixis 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 anddirectrix.
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These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.

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更新时间:2026/3/6 5:28:01