hyperbola (Meaning)
hyperbola (n)
an open curve formed by a plane that cuts the base of a right circular cone
hyperbola (n.)
A curve formed by a section of a cone, when the cutting plane makes a greater angle with the base than the side of the cone makes. It is a plane curve such that the difference of the distances from any point of it to two fixed points, called foci, is equal to a given distance. See Focus. If the cutting plane be produced so as to cut the opposite cone, another curve will be formed, which is also an hyperbola. Both curves are regarded as branches of the same hyperbola. See Illust. of Conic section, and Focus.
Synonyms & Antonyms of hyperbola
No Synonyms and anytonyms found
hyperbola Sentence Examples
- The asymptotes of a hyperbola form an angle of 90 degrees, creating a distinct shape.
- The conjugate diameters of a hyperbola are two chords that intersect at right angles.
- The eccentricity of a hyperbola determines the shape and distance between its foci.
- The area enclosed by a hyperbola and its asymptotes is finite and can be calculated using integration.
- The equation of a hyperbola can be represented in various forms, including the standard form and the general form.
- The asymptotes of a hyperbola are lines that the hyperbola approaches but never intersects.
- Hyperbolas are often used in mathematics, science, and engineering to model phenomena with non-linear relationships.
- The foci of a hyperbola are two fixed points that determine the location and shape of the hyperbola.
- The transverse axis of a hyperbola is the line segment joining its vertices.
- The vertices of a hyperbola are the points where the hyperbola intersects the transverse axis.
FAQs About the word hyperbola
an open curve formed by a plane that cuts the base of a right circular coneA curve formed by a section of a cone, when the cutting plane makes a greater angle w
No synonyms found.
No antonyms found.
The asymptotes of a hyperbola form an angle of 90 degrees, creating a distinct shape.
The conjugate diameters of a hyperbola are two chords that intersect at right angles.
The eccentricity of a hyperbola determines the shape and distance between its foci.
The area enclosed by a hyperbola and its asymptotes is finite and can be calculated using integration.
