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Plane curve: conic section
(the directrix). The focus does not lie on the directrix. The parabola is the locus of points in that plane that are equidistant from the directrix and
Parabola
Curve from a cone intersecting a 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
Conic_section
Plane curve
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,
Ellipse
Topics referred to by the same term
a directrix is a curve associated with a process generating a geometric object, such as: Directrix (conic section) Directrix (ellipse) Directrix (generatrix)
Directrix
Geometric point from which certain types of curves are constructed
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
Focus_(geometry)
Spheres tangent to a plane inside a cone
point (the focus) is proportional to the distance from a fixed line (the directrix), the constant of proportionality being called the eccentricity. A conic
Dandelin_spheres
Plane curve: conic section
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)
Hyperbola
Ruled surface made of lines parallel to a plane and intersecting an axis
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
Conoid
Relationship between two lines that meet at a right angle
the directrix. Conversely, two tangents which intersect on the directrix are perpendicular. This implies that, seen from any point on its directrix, any
Perpendicular
Concept in geometry
focus) and a fixed line (the directrix), where distance from the directrix is measured along a line perpendicular to the directrix. In shape analysis, the
Equidistant
Surface containing a line through every point
lateral surface of a cylinder or cone, a conical surface with elliptical directrix, the right conoid, the helicoid, and the tangent developable of a smooth
Ruled_surface
Geometric object moved along a path to generate a shape
shape. The path directing the motion of the generatrix motion is called a directrix or dirigent. A cone can be generated by moving a line (the generatrix)
Generatrix
Geometric shape
perimeter of the base of a cone is called the directrix, and each of the line segments between the directrix and apex is a generatrix or generating line
Cone
Surface formed from spheres centered along a curve
surface, directrix is a line, the axis of the cylinder) torus (pipe surface, directrix is a circle), right circular cone (canal surface, directrix is a line
Channel_surface
Species of moth
Thioscelis directrix is a moth in the family Depressariidae. It was described by Edward Meyrick in 1909. It is found in Peru, Bolivia and Costa Rica.
Thioscelis_directrix
1999 studio album by Divine Styler
Wordpower, Vol. 2: Directrix is the third album by Divine Styler, released in 1999 on Mo' Wax. This was his first album released in seven years, his last
Wordpower,_Vol._2:_Directrix
Resort town in La Altagracia Province, Dominican Republic
Dominican Liberation Party. Chosen directrix in 2007. Her vice director was Omar Elías Vásquez. She later served as vice directrix from 2016 to 2020. Radhamés
Punta_Cana
Characteristic of conic sections
locus of points whose distances to a point (the focus) and a line (the directrix) are in a constant ratio. That ratio is called the eccentricity, commonly
Eccentricity_(mathematics)
Surface drawn by a moving line passing through a fixed point
space curve — the directrix — that does not contain the apex. Each of those lines is called a generatrix of the surface. The directrix is often taken as
Conical_surface
Number whose square is a given number
The graph of the function f(x) = √x, made up of half a parabola with a vertical directrix
Square_root
The polygonal chain is the directrix of the surface; the parallel lines are its generators (or elements). If the directrix is a convex polygon, then the
Prismatic_surface
Geometric inversion of a torus, cylinder or double cone
surface. The first one uses an ellipse as directrix, the second one a hyperbola: In the x-y-plane the directrix is the ellipse with equation x 2 a 2 + y
Dupin_cyclide
Simple curve of Euclidean geometry
Sine-triple-angle circle Spieker circle Van Lamoen circle Eight-point circle of an orthodiagonal quadrilateral Director circle Directrix circle Villarceau circles
Circle
Three-dimensional solid
called the directrix, a cylindrical surface is that surface traced out by a line, called the generatrix, not in the plane of the directrix, moving parallel
Cylinder
American pornographic actress and director
children with him. The couple divorced seven years later. 2007 AFWG Award – Directrix Of The Year 2013 AVN – Game Changer 2013 NightMoves Award – Best Director
Dana_Vespoli
Algebraic geometry
is uniquely determined by the rational normal scroll and is called the directrix of the scroll. Griffiths, Phillip; Harris, Joseph (1994), Principles of
Rational_normal_scroll
Euclidean space surface
the surface is a tangent developable surface and is generated by the directrix ( d cos φ , d sin φ , c φ ) {\displaystyle (d\cos \varphi ,d\sin \varphi
Generalized_helicoid
All points for which two tangents of a curve intersect at 90° angles
curve meet at a right angle. Examples: The orthoptic of a parabola is its directrix (proof: see below), The orthoptic of an ellipse x 2 a 2 + y 2 b 2 = 1
Orthoptic_(geometry)
American pornographic actress, director, producer and model (born 1981)
Award Best Director (Non-Feature) Belladonna: Manhandled 2 AFWG Award Directrix of the Year Iodine Girl Urban X Award Best Interracial Star —N/a NightMoves
Belladonna_(actress)
Polynomial function of degree two
where a and the discriminant b2 − 4ac are positive, with Roots and y-intercept in red Vertex and axis of symmetry in blue Focus and directrix in pink
Quadratic_function
State of matter with properties of both conventional liquids and crystals
annihilate. Most nematic phases are uniaxial: they have one axis (called a directrix) that is longer and preferred, with the other two being equivalent (can
Liquid_crystal
American pornographic film actress
verify] 2004 Adam Film World Guide Award – Directrix of the Year 2005 Adam Film World Guide Award – Directrix of the Year 2007 NightMoves Hall of Fame inductee
Jewel_De'Nyle
2019 studio album by Pluralone
sessions was released digitally on July 3, with the songs "Nowhere I Am" & "Directrix", the first one also count with Flea and Irons. On July 17 it will be
To_Be_One_with_You
Byzantine architect and mathematician (c. 474 – 533–558)
the first practical use of the directrix: having given the focus and a double ordinate, he used the focus and directrix to obtain any number of points
Anthemius_of_Tralles
Theorem in fluid mechanics
cross is the sum of their source depths. Every jet (even if not leaving horizontally) takes a parabolic path whose directrix is the surface of the water.
Torricelli's_law
Term in geometry; longest and shortest semidiameters of an ellipse
the center to either focus and the distance from the center to either directrix. The semi-minor axis of an ellipse runs from the center of the ellipse
Semi-major and semi-minor axes
Semi-major_and_semi-minor_axes
1992 studio album by Divine Styler
Producer Divine Styler Divine Styler chronology Word Power (1989) Spiral Walls Containing Autumns of Light (1992) Wordpower, Vol. 2: Directrix (1999)
Spiral Walls Containing Autumns of Light
Spiral_Walls_Containing_Autumns_of_Light
Method of drawing geometric objects
drawing tool that can draw any conic with already constructed focus, directrix, and eccentricity. The same set of points can often be constructed using
Straightedge and compass construction
Straightedge_and_compass_construction
Mathematical constant in conic sections
parameter in green. (The focus of the parabola is the point F and the directrix is the line L.) The value of P is P = ln ( 1 + 2 ) + 2 = 2.29558714939
Universal_parabolic_constant
American rapper
Junkies. The latter also appeared on his third LP, Wordpower, Vol. 2: Directrix (Featuring Exceed), which trafficked in information-age paranoia. Although
Divine_Styler
Species of moth
Thioscelis directrix except for the subterminal line, which is straighter, arising nearer the apex on the costa. The hindwings are as in T. directrix. Thioscelis
Thioscelis_whalleyi
Straight figure with zero width and depth
which do not meet the conic at any point of the Euclidean plane; or a directrix, whose distance from a point helps to establish whether the point is on
Line_(geometry)
Conic curves associated with a triangle
parabola inscribed in the reference triangle having the Euler line as directrix and the triangle center X110 as focus. The following quote from a paper
Kiepert_conics
Collinearity of the midpoints of parallel chords in a conic
its center. For a parabola the diameter is always perpendicular to its directrix and for a pair of intersecting lines (from a degenerate conic) the diameter
Midpoint_theorem_(conics)
Set of points that satisfy some specified conditions
of points equidistant from a fixed point (the focus) and a line (the directrix). Hyperbola: the set of points for each of which the absolute value of
Locus_(mathematics)
Geometric construction used in Ancient Greek mathematics
"inclined" towards P. Point P is called the pole of the neusis, line l the directrix, or guiding line, and line m the catch line. Length a is called the diastema
Neusis_construction
Surface of revolution of a catenary
the plane. The catenoid is obtained by rotating a catenary about its directrix. It was found and proved to be minimal by Leonhard Euler in 1744. Early
Catenoid
Species of moth
irregularly shaded with darker scaling, the maculation is as for Thioscelis directrix except for the subterminal and terminal transverse lines, which are solid
Thioscelis_geranomorpha
American musician (born 1979)
Overflowing" (2020) "Obscene b/w Fairy Tale" (2020) "Nowhere I Am b/w Directrix" (2020) I Don't Feel Well (2020) Mother Nature (EP, 2021) "Stretch the
Josh_Klinghoffer
N-th root of the product of n numbers
the center to either focus and the distance from the center to either directrix. Another way to think about it is as follows: Consider a circle with radius
Geometric_mean
Mathematical problem
This has gone under several names in the literature, formule directrix (Euler), directrix, 1-permutation, and diagonal amongst others. (Dénes & Keedwell
Mutually orthogonal Latin squares
Mutually_orthogonal_Latin_squares
Surface swept by tangents to a curve
curve forms a boundary of the tangent developable, and is called its directrix or edge of regression. This curve is obtained by first developing the
Tangent_developable
Curve used in computer graphics and related fields
and the axis, the line passing through G and perpendicular to CD is the directrix (solid green). The focus (F) is at the intersection of the axis and a
Bézier_curve
Circle formed by all 90° crossings of tangents of an ellipse or hyperbola
of a parabola the director circle degenerates to a straight line, the directrix of the parabola. Akopyan & Zaslavsky 2007, pp. 12–13 Faulkner 1952, p
Director_circle
Voronoi diagram generation algorithm
Mathematically, this means each parabola is formed by using the sweep line as the directrix and the input point as the focus. The algorithm maintains as data structures
Fortune's_algorithm
_{0},\theta )} . 1. pencil: Tori with the same directrix (green). 2. pencil: Cones containing the directrix circle of the torus with apexes on the axis of
Dupin's_theorem
flagship, the Directrix or Z9M9Z, had to be commissioned with extensive and advanced C3. It is explicitly stated in later novels that the Directrix/Z9M9Z is
Galactic_Patrol
Genus of moths
Thioscelis is a moth genus of the family Depressariidae. Thioscelis directrix Meyrick, 1909 Thioscelis fuscata Duckworth, 1967 Thioscelis geranomorpha
Thioscelis
Curve formed by a hanging chain
roulette curve traced by its focus is a catenary. The envelope of the directrix of the parabola is also a catenary. The involute from the vertex, that
Catenary
Food engineer and science-fiction author (1890–1965)
entire set-up was taken specifically, directly, and consciously from the Directrix. In your story, you reached the situation the Navy was in—more communication
E._E._Smith
optimal curve will necessarily be a catenary. The axis of revolution is the directrix of the catenary, and the minimal surface of revolution will thus be a
Minimal_surface_of_revolution
Room in a warship or aircraft that functions as a tactical center
was taken “specifically, consciously, and directly” from the spaceship Directrix in the Lensman novels of E. E. Smith, Ph.D., and influenced by the works
Combat_information_center
focus/directrix/eccentricity interpretation of conics, by retaining a single point F for the focus, any differentiable curve d serving as the directrix, and
Generalized_conic
4th-century Greek mathematician (c. 290–350)
the property of a conic (a hyperbola) with reference to the focus and directrix. In Book V, after an interesting preface concerning regular polygons,
Pappus_of_Alexandria
Division of something into two equal or congruent parts
point to the focus and the line from the point and perpendicular to the directrix. Each of the three medians of a triangle is a line segment going through
Bisection
Type of curve in hyperbolic geometry
whose distance from a focus F is equal to the distance to a hypercycle directrix that is not a line. Assuming a common axis for the hypercycles, the location
Hypercycle_(geometry)
Defunct English record label
Journey (Era of Bass Part 1) MW 122 Divine Styler – Wordpower, Vol. 2: Directrix MW 129 Nigo – Ape Sounds MW 132 South – From Here on In MW 141 David Axelrod
Mo'_Wax
degenerates into a single point. The focal surface of a Torus consists of the directrix circle and the axis of rotation. More generally, the focal surface of
Focal_surface
Concept in mathematics
infinity. Also, the polar line of a focus of the conic is its corresponding directrix. Let line L be the polar line of point p with respect to the non-degenerate
Matrix representation of conic sections
Matrix_representation_of_conic_sections
Line constructed from a triangle
(two of them extended) of the triangle and has the Euler line as its directrix. Kimberling, Clark (1998). "Triangle centers and central triangles". Congressus
Euler_line
Geometry problem about finding touching circles
constructs their directrix lines instead. For any hyperbola, the ratio of distances from a point Z to a focus A and to the directrix is a fixed constant
Problem_of_Apollonius
4th-century BC Greek mathematician
in all of preserved ancient Greek mathematics that preserves the focus directrix construction of conics. Theorem 34b. Given an arc, its trisection point
Aristaeus_the_Elder
Greek American dramatic soprano (born 1950)
Company. While teaching at the National Conservatory of Athens whose Directrix was Krino Kalomiris, daughter of Manolis Kalomiris, the head of the National
Ioanna_Sfekas-Karvelas
United States Navy officer
was taken "specifically, consciously, and directly" from the spaceship Directrix in the Lensman novels of E. E. Smith, Ph.D., and influenced by the works
Cal_Laning
Surface that locally minimizes its area
catenoids: minimal surfaces made by rotating a catenary once around its directrix helicoids: A surface swept out by a line rotating with uniform velocity
Minimal_surface
Type of plane curve
circle. (The generator circle is the inverse curve of the parabola's directrix.) This property gives rise to the following simple method to draw a cardioid:
Cardioid
Unit) Divine Styler – "Nova" and "Microphenia" from Wordpower, Vol. 2: Directrix (1999, Mo' Wax) Divine Styler – "Terraform" from Contemplation Sompilation
Styles_of_Beyond_discography
Locus of the zeros of a polynomial of degree two
Ellipse (e = 0.5), parabola (e = 1), and hyperbola (e = 2) with fixed focus F and directrix.
Quadric
Mathematics of smooth surfaces
which can be generated by the motion of a straight line in E3. Choosing a directrix on the surface, i.e. a smooth unit speed curve c(t) orthogonal to the
Differential geometry of surfaces
Differential_geometry_of_surfaces
Type of dish antenna designed in the 1970s
the locus of points equidistant from the focal point and a directrix line. The directrix in this case was the upper side of the arm. After the parabolic
Leighton_Radio_Telescopes
Chemist and physician (1580–1644)
body. Van Helmont described the archeus as "aura vitalis seminum, vitae directrix" ("The chief Workman [Archeus] consists of the conjoyning of the vitall
Jan_Baptist_van_Helmont
Topics referred to by the same term
Word Power (album), a 1989 album by Divine Styler Wordpower, Vol. 2: Directrix, a 1999 album by Divine Styler Word Power, a 1967 board game published
Word_Power
Method for calculating extraction pressures of a multistage turbine
coordinate system has the shape of a degenerate quadric surface, the cone directrix being an ellipse. For a constant initial pressure p 01 {\displaystyle
Stodola's_cone_law
Mathematical concept
= u. All the vectors L(u) are parallel to the same plane, called the directrix plane of the surface. This can be characterized by the condition: the
Catalan_surface
Unique ellipse tangent to all 3 midpoints of a given triangle's sides
is tangent to the sides of the triangle and has the Euler line as its directrix. The foci of the Steiner inellipse of a triangle are the intersections
Steiner_inellipse
American film director
Year Ceremony Result Category Work 2003 AFW Award Won Directrix of the Year —N/a AVN Award Nominated Best Director – Non-Feature Lady Fellatio in the
Mason_(director)
2004 comic opera
2004 (Conductor: Dennis Russell Davies) Rita Billingsley, the wedding directrix soprano Maria Kanyova Nettie, grandmother of the groom mezzo-soprano Kathryn
A_Wedding_(opera)
Lines which intersect at a single point
hyperbola's center and that passes through the hyperbola's vertices; (2) either directrix; and (3) either of the asymptotes. In a tetrahedron, the four medians
Concurrent_lines
p. 26) directrix A straight line, or more generally a projective space, associated with some geometric configuration, such as the directrix of a conic
Glossary of classical algebraic geometry
Glossary_of_classical_algebraic_geometry
List of definitions of terms and concepts commonly used in aerospace engineering
the area it has scanned. Latus rectum – is the chord parallel to the directrix and passing through a focus; its half-length is the semi-latus rectum
Glossary of aerospace engineering
Glossary_of_aerospace_engineering
1971 novel by Joseph McElroy
equidistant from a focus and a directrix, the other as a cross-section of a cone. Later uses, along with "equidistant" and "directrix", are vague and metaphorical
Ancient_History_(novel)
Canadian mathematician (1884–1948)
Society. 15 (1914): 167–196. doi:10.1090/S0002-9947-1914-1500971-7 "Scroll directrix curves." Transactions of the American Mathematical Society 16 (1915):
Charles_Thompson_Sullivan
Conic plane curve associated with a given triangle
tangent at B, C to the sides AB, AC, and two other similar parabolas. The directrix of the A-Artzt parabola is the perpendicular to the median through A at
Triangle_conic
directive, director, directorate, directorial, directory, directress, directrix, dirigible, erect, erection, erector, escort, experrection, incorrect
List of Latin verbs with English derivatives
List_of_Latin_verbs_with_English_derivatives
American mathematician
doi:10.2307/3028882. JSTOR 3028882. On septic scrolls having a rectilinear directrix. The Lord Baltimore Press. 1907. (Ph.D. thesis, 1905) with Virgil Snyder:
Charles_Herschel_Sisam
Point found separated from another, given a point pair
that of the tangent at P {\displaystyle P} . One can also sho that the directrix of the ellipse is the polar of the focus. In Galois geometry over a Galois
Projective_harmonic_conjugate
British musician
(ZTT 1999) Blanket - Urban Species ft Imogen Heap (Beechwood Music 1999) Directrix - Divine Styler (Mo Wax 2000) Sonar - Optical & Trace Remix (Prototype
Optical_(musician)
Norwegian merchant and businessperson
"The dramatic party" (Det dramatiske Selskab), of which Mathia was the "directrix" (directrise). Mathia would again take in a foster daughter, Martine Elieson
Mathia_Collett
DIRECTRIX
DIRECTRIX
DIRECTRIX
DIRECTRIX
Girl/Female
Hindu, Indian, Modern
Goddess Lakshmi; Goddess Laxmi
Surname or Lastname
English
English : from Old French carrel, ‘pillow’, ‘bolster’, hence a metonymic occupational name for a maker of these.In some cases perhaps an altered spelling of Irish Carroll. In other cases perhaps an altered spelling of French Carrel.
Girl/Female
Tamil
Kshipva | கà¯à®·à®¿à®ªà¯à®µà®¾
Elasticized
Surname or Lastname
English
English : habitational name from Chatfields in Sussex, which is named with the Old English personal name Ceatta (probably a variant of Catta) + Old English feld ‘open country’.
Girl/Female
Indian, Punjabi, Sikh
Victorious Almighty God
Boy/Male
Muslim
Firm
Boy/Male
Hindu, Indian, Sanskrit
Youth; Young; Handsome; Beautiful
Boy/Male
Tamil
Soumendu | ஔமேநà¯à®¤à¯Â
Boy/Male
Arabic, Muslim
Lion
Surname or Lastname
German
German : topographic name for someone who lived by a stream, Middle High German bach ‘stream’. This surname is established throughout central Europe and in Scandinavia, not just in Germany.Jewish (Ashkenazic) : ornamental name from German Bach ‘stream’, ‘creek’.English : topographic name for someone who lived by a stream, Middle English bache.Welsh : distinguishing epithet from Welsh bach ‘little’, ‘small’.Norwegian : Americanized spelling of the topographic name Bakk(e) ‘hillside’ (see Bakke).Polish, Czech, and Slovak : from the personal name Bach, a pet form of Bartomolaeus (Polish Bartłomiej, Czech Bartoloměj, Slovak Bartolomej (see Bartholomew) or possibly in some cases of Baltazar or Sebastian).
DIRECTRIX
DIRECTRIX
DIRECTRIX
DIRECTRIX
DIRECTRIX
n.
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.
n.
A directress.
n.
A point so related to a conic section and certain straight line called the directrix that the ratio of the distace between any point of the curve and the focus to the distance of the same point from the directrix is constant.
pl.
of Directrix
n.
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.
n.
A kind of curve; one of the conic sections formed by the intersection of the surface of a cone with a plane parallel to one of its sides. It is a curve, any point of which is equally distant from a fixed point, called the focus, and a fixed straight line, called the directrix. See Focus.
n.
The line of motion along which a describent line or surface is carried in the genesis of any plane or solid figure; a directrix.
n.
The right line drawn through the two points of contact of the two tangents drawn from a given point to a given conic section. The given point is called the pole of the line. If the given point lies within the curve so that the two tangents become imaginary, there is still a real polar line which does not meet the curve, but which possesses other properties of the polar. Thus the focus and directrix are pole and polar. There are also poles and polar curves to curves of higher degree than the second, and poles and polar planes to surfaces of the second degree.