Assertion: parabola's line | /r/HasProperty | the directrix
Facets:
Source sentences:
text: , and a fixed straight line (the directrix )
text: The line is called the "directrix"; the point is called the "focus".
text: It is a locus of a point, which moves so that distance from a fixed point (focus) is equal to the distance from a fixed line (directrix)
text: The fixed point is called Focus, the fixed line is called Directrix, and the ratio of the distance of the tracing point from the focus to its perpendicular distance from the directrix is called eccentricity.
text: A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line which is known as the directrix.
text: From the geometric point of view, the given point is the focus of the parabola and the given line is its directrix.
text: Here the fixed point is known as "focus" and the fixed line is known as "directrix".
text: As a verb ellipse is (grammar) to remove from a phrase a word which is grammatically needed, but which is clearly understood without having to be stated. is thatis (geometry) the conic section formed by the intersection of a cone with a plane parallel to a tangent plane to the cone; the locus of points equidistant from a fixed point (the focus) and line (the directrix) whileis (geometry) a closed curve, the locus of a point such that the sum of the distances from that point to two other fixed points (called the foci of the ellipse) is constant; equivalently, the conic section that is the intersection of a cone with a plane that does not intersect the base of the cone.is thatis (geometry) the conic section formed by the intersection of a cone with a plane parallel to a tangent plane to the cone; the locus of points equidistant from a fixed point (the focus) and line (the directrix) whileis (geometry) a closed curve, the locus of a point such that the sum of the distances from that point to two other fixed points (called the foci of the ellipse) is constant; equivalently, the conic section that is the intersection of a cone with a plane that does not intersect the base of the cone.(grammar) to remove from a phrase a word which is grammatically needed, but which is clearly understood without having to be stated.
text: One description of a parabola involves a point (the focus) and a line (the directrix).
text: As a plane curve, it may be defined as the path (locus) of a point moving so that its distance from a fixed line (the directrix) is equal to its distance from a fixed point (the focus).
text: The fixed point is the focus and the fixed line is the directrix.
text: The red point in the pictures below is the focus of the parabola and the red line is the directrix.
text: a fixed point (the focus) and a fixed line (the directrix).
text: ... a fixed straight line (the directrix)
text: A parabola can also be defined as locus of points which are equidistant from a given point (the focus) and a given line (the directrix).
text: A parabola is the set of points in the plane that lie equidistant from a fixed point, the focus, and a fixed line, the directrix.
text: A parabola is defined as a collection of points such that the distance to a fixed point (the focus) and a fixed straight line (the directrix) are equal.
text: We know this fixed line to be the directrix and the fixed point to be the focus.
text: The green line that is above the parabola (and directly above the vertex) is the directrix.
text: The green line (3/2 units up from the vertex) is the directrix, and the plus sign 3/2 units down from the vertex is the focus.
text: The green line is the directrix, and blue dot is the focus.
text: A parabola can also be defined as locus of points which are equidistant from a given point (the focus) and a given line (the directrix).
text: In context|geometry|lang=en terms the difference between parabola and ellipse is that parabola is (geometry) the conic section formed by the intersection of a cone with a plane parallel to a tangent plane to the cone; the locus of points equidistant from a fixed point (the focus) and line (the directrix) while ellipse is (geometry) a closed curve, the locus of a point such that the sum of the distances from that point to two other fixed points (called the foci of the ellipse) is constant; equivalently, the conic section that is the intersection of a cone with a plane that does not intersect the base of the cone.
text: As nouns the difference between parabola and ellipse is that parabola is (geometry) the conic section formed by the intersection of a cone with a plane parallel to a tangent plane to the cone; the locus of points equidistant from a fixed point (the focus) and line (the directrix) while ellipse is (geometry) a closed curve, the locus of a point such that the sum of the distances from that point to two other fixed points (called the foci of the ellipse) is constant; equivalently, the conic section that is the intersection of a cone with a plane that does not intersect the base of the cone.
text: As a verb ellipse is (grammar) to remove from a phrase a word which is grammatically needed, but which is clearly understood without having to be stated. is thatis (geometry) the conic section formed by the intersection of a cone with a plane parallel to a tangent plane to the cone; the locus of points equidistant from a fixed point (the focus) and line (the directrix) whileis (geometry) a closed curve, the locus of a point such that the sum of the distances from that point to two other fixed points (called the foci of the ellipse) is constant; equivalently, the conic section that is the intersection of a cone with a plane that does not intersect the base of the cone.is thatis (geometry) the conic section formed by the intersection of a cone with a plane parallel to a tangent plane to the cone; the locus of points equidistant from a fixed point (the focus) and line (the directrix) whileis (geometry) a closed curve, the locus of a point such that the sum of the distances from that point to two other fixed points (called the foci of the ellipse) is constant; equivalently, the conic section that is the intersection of a cone with a plane that does not intersect the base of the cone.(grammar) to remove from a phrase a word which is grammatically needed, but which is clearly understood without having to be stated.
text: The conic section formed by the intersection of a cone with a plane parallel to a tangent plane to the cone; the locus of points equidistant from a fixed point (the focus) and line (the directrix).
text: The parabola is the set of points in the plane that are equidistant from a fixed line, (the directrix) and a fixed point (the focus) not on the line.
text: Begin with a line (the directrix), and a point labeled F Select an arbitrary point A, on the directrix, and construct a segment from that point to the focus (segment AF).
text: All of the conic sections can be defined as curves such that the ratio of the distances from a point on the curve to a straight line (the directrix) and a point (the focus) is a constant, called the eccentricity
text: A fixed straight line (the directrix)
text: A parabola can be defined as an infinite set of points that is equidistant from a point (the focus) and a line (the directrix).
text: As nouns the difference between parabola and paraboloid is that parabola is (geometry) the conic section formed by the intersection of a cone with a plane parallel to a tangent plane to the cone; the locus of points equidistant from a fixed point (the focus) and line (the directrix) while paraboloid is (mathematics) a surface having a parabolic cross section parallel to an axis, and circular or elliptical cross section perpendicular to the axis; especially the surface of revolution of a parabola.
text: is thatis (geometry) the conic section formed by the intersection of a cone with a plane parallel to a tangent plane to the cone; the locus of points equidistant from a fixed point (the focus) and line (the directrix) whileis (mathematics) a surface having a parabolic cross section parallel to an axis, and circular or elliptical cross section perpendicular to the axis; especially the surface of revolution of a parabola.
text: The conic section formed by the intersection of a cone with a plane parallel to a tangent plane to the cone; the locus of points equidistant from a fixed point (the focus) and line (the directrix).
text: Any point on a parabola is at an equal distance from a fixed point (the focus), and a fixed straight line (the directrix).
text: The given point is called the focus, and the line is called the directrix.
text: The point is called the focus of the parabola and the line is called the directrix.
text: In short, a parabola is a curve such that any point on the curve is at equal distance from a fixed point called locus and a fixed straight line called the directrix.
text: The line is called the directrix and the point is called the focus.
text: The line is called the directrix, and the point is called the focus.
text: The line is called the directrix and the point is called the focus
text: A parabola is a curve where any point is at an equal distance from a fixed point (called the focus), and a fixed straight line (called the directrix).
text: A parabola is the set of points that is the same distance away from a single point called the focus and a line called the directrix.
text: The fixed line is called the directrix, and the fixed point is called the focus.
text: A parabola is the set of all points \( M(x,y)\) in a plane such that the distance from \( M \) to a fixed point \( F \) called the focus is equal to the distance from \( M \) to a fixed line called the directrix as shown below in the graph.
text: A common definition defines it as the locus of points P such that the distance from a line (called the directrix) to P is equal to the distance from P to a fixed point F (called the focus).
text: If you take a straight line, which is called the directrix, and some point not on the line, which is called the focus, then a parabola is the locus of the points that are equidistant from the focus and the directrix.
text: A parabola, shown in Figure 1, below, is a special mathematical shape — a curve consisting of the points that are equidistant from both a given fixed point called the focal point or (focus) and a given fixed line (called the directrix).
text: Every point on a parabola (curved red line) is equidistant from both a given point called the focal point and a given line called the directrix.
text: So since p = +4, that becomes: [Incidentally the line which the bottom side of those two squares are part of is called the directrix.
text: A parabola is the set of points equally distant from a point (a focus) and a line (a directrix).
text: In this definition we start with a line (directrix) and a point (focus) and plot the locus of all points equidistant from each.
text: and a given line (directrix).
text: Definition: The locus of all points that are equidistant from a given point (focus)and a given line (directrix).
text: Click on a point (focus) and line (directrix)", I could not even remember what they were.
text: A parabola is the set of all points in a plane that are equidistant between a fixed point (focus) and a line (directrix).
text: The fixed line is the ‘directrix’ and the fixed point is the ‘focus’ {Fig.
text: Parabolic curve is a locus of all the points on the plane which have same distance from a line called Directrix and a fixed point called Focus.
text: Fixed line is called directrix
text: A parabola is the locus of all points in a plane that are equidistant from a given line, known as the directrix, and a given point not on the line, known as the focus (see Figure 1).