Search results
Results from the WOW.Com Content Network
A hyperbola is an open curve with two branches, the intersection of a plane with both halves of a double cone.The plane does not have to be parallel to the axis of the cone; the hyperbola will be symmetrical in any case.
The diameter of the unit hyperbola represents a frame of reference in motion with rapidity a where tanh a = y/x and (x,y) is the endpoint of the diameter on the unit hyperbola. The conjugate diameter represents the spatial hyperplane of simultaneity corresponding to rapidity a.
The hyperbola is the isogonal conjugate of , the line joining the circumcenter and the incenter. [3] This fact leads to a few interesting properties. Specifically all the points lying on the line have their isogonal conjugates lying on the hyperbola.
A ray through the unit hyperbola x 2 − y 2 = 1 at the point (cosh a, sinh a), where a is twice the area between the ray, the hyperbola, and the x-axis. For points on the hyperbola below the x-axis, the area is considered negative (see animated version with comparison with the trigonometric (circular) functions).
NEW YORK (Reuters) -Gemini Trust Company agreed to pay a civil penalty of $5 million to settle U.S. Commodity Futures Trading Commission charges in connection with statements it made in connection ...
A triangle immersed in a saddle-shape plane (a hyperbolic paraboloid), along with two diverging ultra-parallel lines. In mathematics, hyperbolic geometry (also called Lobachevskian geometry or Bolyai–Lobachevskian geometry) is a non-Euclidean geometry.
In this position, the hyperbolic paraboloid opens downward along the x-axis and upward along the y-axis (that is, the parabola in the plane x = 0 opens upward and the parabola in the plane y = 0 opens downward). Any paraboloid (elliptic or hyperbolic) is a translation surface, as it can be generated by a moving parabola directed by a second ...
The following other wikis use this file: Usage on ar.wikipedia.org قطع ناقص; قطع زائد; قطع مكافئ; دائرة; قالب:قطوع مخروطية