Assertion: ellipse's point | /r/HasProperty | the foci
Facets:
Source sentences:
text: Another definition of an ellipse is that it is the locus of points for which the sum of their distances from two fixed points (the foci) is constant.
text: A curved line forming a closed loop, where the sum of the distances from two points (foci) to every point on the line is constant.
text: In mathematics, an ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant.
text: The set of all points (x, y) in a plane the sum of whose distances from two fixed points, called foci, is constant.
text: If two special points (called the foci) are picked on a plane and if we collect all the points around those foci such that the sum of the distances between any point in that collection and the two foci are a constant, then the locus of all these points form a curve called Ellipse.
text: These two fixed points are known as the ‘foci’.
text: The two fixed points referred to in the definition are the two foci.
text: An ellipse is a set of points on a plane, creating an oval, curved shape, such that the sum of the distances from any point on the curve to two fixed points (the foci) is a constant (always the same).
text: An ellipse is a set of points, the sum of whose distances from two fixed points (the foci, which lie on the major axis) is constant.
text: From a pre-calculus perspective, an ellipse is a set of points on a plane, creating an oval, curved shape such that the sum of the distances from any point on the curve to two fixed points (the foci) is a constant (always the same).
text: These two points are the foci.
text: In geometry, an ellipse is a regular oval shape, traced by a point moving in a plane so that the sum of its distances from two other points (the foci) is constant, or resulting when a cone is cut by an oblique plane that does not intersect the base.
text: A: The two prominent points on every ellipse are the foci.
text: Yet another way to specify an ellipse is that it is the locus of points the sum of whose distances from two given points (the foci) is constant.
text: Another definition of an ellipse is that it is the locus of points for which the sum of their distances from two fixed points (the foci) is constant.
text: Its definition states: a curved line forming a closed loop, where the sum of the distances from two points (foci) to every point on the line is constant.
text: An ellipse is the set of all points in a plane such that the sum of the distances from two fixed points (foci) is constant.
text: In an ellipse, the distance of the locus of all points on the plane to two fixed points (foci) always adds to the same constant.
text: An ellipse is "the set of all points in a plane such that the sum of the distances from two fixed points (foci) is constant".
text: A hyperbola is "the set of all points in a plane such that the difference of the distances from two fixed points (foci) is constant".
text: An ellipse may be defined in plane geometry as the set of points such that the sum of their distances to two points (foci) is constant.
text: As such, it is a generalization of a circle, which is a special type of an ellipse having both focal points at the same location.
text: With the focal points on the X axis, the ellipse is oriented as in figure 2-14, view A, and the standard form of the equation is With the center at the origin, the numerators of the fractions on the left are x2 and y2.
text: As such, it is a generalization of a circle, which is a special type of an ellipse having both focal points at the same location.
text: However, an ellipse has two focal points in which the sum of the length of both focal points to any given point on the ellipse is always the same.
text: The geometric definition of an ellipse is the locus of a point which moves in a plane such that the sum of its distances from the two points called foci add up to a constant(greater than the distance between the said foci).
text: Foci: Two fixed points in the interior of the ellipse are called foci.
text: A hyperbole is the set of all points in a plane such that the absolute value of the difference of the distances from two ﬁxed points (called foci) is constant.
text: An ellipse is the locus of points the sum of whose distances from two fixed points, called foci, is a constant.
text: Instead of having all points the same distance from the center point, though, an ellipse is shaped so that when you add together the distances from two points inside the ellipse (called the foci) they always add up to the same number.
text: The fixed points F and F' in Figure 8 are called the foci and the point
text: The fixed points F and F' in Figure 11 are called the foci and the point
text: These two fixed points are known as the ‘foci’.