In mathematics, a
directrix is a straight line associated to a geometric object, such as:
Directrix (conic section)
Directrix (rational
Kaynak: Directrixthose points whose distances to some point, called a focus , and some line, called a
directrix, are in a fixed ratio, called the eccentricity .
Kaynak: Conic sectionFor the ellipse, both the focus and the center of the
directrix circle have finite coordinates and the radius of the
directrix circle is
Kaynak: Focus (geometry)This is also the equation of the
directrix of this parabola, so the two perpendicular tangents intersect on the
directrix. Dimensions of
Kaynak: ParabolaA catenoid is a three- dimension al surface made by rotating a catenary curve about its
directrix. Not counting the plane, it is the
Kaynak: Catenoidpass through a fixed point — the apex or vertex — and any point of some fixed space curve — the
directrix — that does not contain the apex.
Kaynak: Conical surfaceDirectrix : File:Ellipse Properties of
Directrix. svg | of the ellipse is associated with a line parallel to the minor axis called a
directrix .
Kaynak: Ellipse Proof of the focus-
directrix property: The
directrix of a conic section can be found using Dandelin's construction. Each Dandelin sphere
Kaynak: Dandelin spheresDirectrix and focus: ratio of the distances to one focus and to a line (called the
directrix) is a constant epsilon that is larger than 1.
Kaynak: Hyperbola A parabola is the set of points in a plane equidistant from a fixed point (the focus) and a fixed line (the
directrix), where distance
Kaynak: EquidistantOther examples are a conical surface with elliptical
directrix , the right conoid , the helicoid , and the tangent developable of a
Kaynak: Ruled surfaceuse the focus and
directrix to obtain any number of points on a parabola —the first instance on record of the practical use of the
directrix.
Kaynak: Anthemius of Tralles(The focus of the parabola is the point F and the
directrix is the line L.) The value of P 2 is: ln(1 + sqrt2) + sqrt2 2.29558714939
Kaynak: Universal parabolic constantThe broken line is the
directrix of the surface; the parallel lines are its generators (or elements). If the broken line is closed (i.e.
Kaynak: Prismatic surfaceAll the vectors L(u) are parallel to the same plane, called the
directrix plane of the surface. This can be characterized by the
Kaynak: Catalan surfaceThe perimeter of the base of a cone is called the '
directrix', and each of the line segments between the
directrix and apex is a '
Kaynak: Cone