Skew Conic

Also known as a Gauche Conic, Space Conic, Twisted Conic, or Cubical Conic Section. A third-orderSpace Curve having up to three points in common with a plane and having three points in common with the plane atinfinity. A skew cubic is determined by six points, with no four of them Coplanar. A line is met by up to fourtangents to a skew cubic.

A line joining two points of a skew cubic (Real or conjugate imaginary) iscalled a Secant of the curve, and a line having one point in common with the curve is called a Semisecant orTransversal. Depending on the nature of the roots, the skew conic is classified as follows:

1. The three Roots are Real and distinct (Cubical Hyperbola).

2. One root is Real and the other two are Complex Conjugates(Cubical Ellipse).

3. Two of the Roots coincide (Cubical Parabolic Hyperbola).

4. All three Roots coincide (Cubical Parabola).

• Heesch's Problem
• Height
• Heilbronn Triangle Problem
• Heine-Borel Theorem
• Heine Hypergeometric Series
• Heisenberg Group
• Heisenberg Space
• Held Group
• Helen of Geometers
• Helicoid
• Helix
• Helly Number
• Helly's Theorem
• Helmholtz Differential Equation
• Helmholtz Differential Equation--Bipolar Coordinates
• Helmholtz Differential Equation--Cartesian Coordinates
• Helmholtz Differential Equation--Circular Cylindrical Coordinates
• Helmholtz Differential Equation--Confocal Ellipsoidal Coordinates
• Helmholtz Differential Equation--Confocal Paraboloidal Coordinates
• Helmholtz Differential Equation--Conical Coordinates
• Helmholtz Differential Equation--Elliptic Cylindrical Coordinates
• Helmholtz Differential Equation--Oblate Spheroidal Coordinates
• Helmholtz Differential Equation--Parabolic Coordinates
• Helmholtz Differential Equation--Parabolic Cylindrical Coordinates
• Helmholtz Differential Equation Polar Coordinates