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Directrix

Directrix Di*rect"rix, n.; pl. E. Directrixes, L. Directrices. 1. A directress. [R.] --Jer. Taylor. 2. (Geom.) (a) A line along which a point in another line moves, or which in any way governs the motion of the point and determines the position of the curve generated by it; the line along which the generatrix moves in generating a surface. (b) A straight line so situated with respect to a conic section that the distance of any point of the curve from it has a constant ratio to the distance of the same point from the focus.

Directrix Di*rect"rix, n.; pl. E. Directrixes, L. Directrices. 1. A directress. [R.] --Jer. Taylor. 2. (Geom.) (a) A line along which a point in another line moves, or which in any way governs the motion of the point and determines the position of the curve generated by it; the line along which the generatrix moves in generating a surface. (b) A straight line so situated with respect to a conic section that the distance of any point of the curve from it has a constant ratio to the distance of the same point from the focus.

- a directrix is a curve ****ociated with a process generating a geometric object, such as: Directrix (conic section) Directrix (generatrix) Directrix (rational...

- particular point, called a focus, and some particular line, called a directrix, are in a fixed ratio, called the eccentricity. The type of conic is determined...

- circular directrix. For the ellipse, both the focus and the center of the directrix circle have finite coordinates and the radius of the directrix circle...

- directrix). The focus does not lie on the directrix. The parabola is the locus of points in that plane that are equidistant from both the directrix and...

- called a directrix. A cone can be generated by moving a line (the generatrix) fixed at the ****ure apex of the cone along a closed curve (the directrix); if...

- — the apex or vertex — and any point of some fixed space curve — the directrix — that does not contain the apex. Each of those lines is called a generatrix...

- the directrix. Conversely, two tangents which intersect on the directrix are perpendicular. This implies that, seen from any point on its directrix, any...

- ellipse called the directrix: for all points on the ellipse, the ratio between the distance to the focus and the distance to the directrix is a constant....

- circular directrix related to F 1 {\displaystyle F_{1}} . This property should not be confused with the definition of a hyperbola with help of a directrix (line)...

- the directrix plane. (2) All rulings intersect a fixed line, the axis. The conoid is a right conoid, if its axis is perpendicular to its directrix plane...

- particular point, called a focus, and some particular line, called a directrix, are in a fixed ratio, called the eccentricity. The type of conic is determined...

- circular directrix. For the ellipse, both the focus and the center of the directrix circle have finite coordinates and the radius of the directrix circle...

- directrix). The focus does not lie on the directrix. The parabola is the locus of points in that plane that are equidistant from both the directrix and...

- called a directrix. A cone can be generated by moving a line (the generatrix) fixed at the ****ure apex of the cone along a closed curve (the directrix); if...

- — the apex or vertex — and any point of some fixed space curve — the directrix — that does not contain the apex. Each of those lines is called a generatrix...

- the directrix. Conversely, two tangents which intersect on the directrix are perpendicular. This implies that, seen from any point on its directrix, any...

- ellipse called the directrix: for all points on the ellipse, the ratio between the distance to the focus and the distance to the directrix is a constant....

- circular directrix related to F 1 {\displaystyle F_{1}} . This property should not be confused with the definition of a hyperbola with help of a directrix (line)...

- the directrix plane. (2) All rulings intersect a fixed line, the axis. The conoid is a right conoid, if its axis is perpendicular to its directrix plane...

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