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Examples ofdirectrix
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A circular cone has adirectrixthat is a circle.
From theCambridge English Corpus
Measured along the axis of symmetry, the vertex is the midpoint between the focus and thedirectrix.
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This example is from Wikipedia and may be reused under a CC BY-SA license.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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This example is from Wikipedia and may be reused under a CC BY-SA license.The broken line is the "directrix" of the surface; the parallel lines are its "generators" (or "elements").
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This example is from Wikipedia and may be reused under a CC BY-SA license.The parabola is the locus of points in that plane that are equidistant from both thedirectrixand the focus.
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This example is from Wikipedia and may be reused under a CC BY-SA license.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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This example is from Wikipedia and may be reused under a CC BY-SA license.For the parabola, the center of thedirectrixmoves to the point at infinity (see projective geometry).
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This example is from Wikipedia and may be reused under a CC BY-SA license.The focal parameter ("p") is the distance from the focus (or one of the two foci) to thedirectrix.
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This example is from Wikipedia and may be reused under a CC BY-SA license.Conversely, two tangents which intersect on thedirectrixare perpendicular.
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This example is from Wikipedia and may be reused under a CC BY-SA license.The dashed blue line is thedirectrixof the ellipse shown.
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This example is from Wikipedia and may be reused under a CC BY-SA license.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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This example is from Wikipedia and may be reused under a CC BY-SA license.Later uses, along with equidistant anddirectrix, are vague and metaphorical.
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Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.The "x" -axis thus chosen is called the "directrix" of the catenary.
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This example is from Wikipedia and may be reused under a CC BY-SA license.The envelope of thedirectrixof the parabola is also a catenary.
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Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.One description of a parabola involves a point (the focus) and a line (thedirectrix).
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This example is from Wikipedia and may be reused under a CC BY-SA license.A parabola has a single axis of reflective symmetry, which passes through its focus and is perpendicular to itsdirectrix.
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This example is from Wikipedia and may be reused under a CC BY-SA license.The focus does not lie on thedirectrix.
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This example is from Wikipedia and may be reused under a CC BY-SA license.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.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
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This example is from Wikipedia and may be reused under a CC BY-SA license.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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Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.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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