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  2. Conic section - Wikipedia

    en.wikipedia.org/wiki/Conic_section

    A conic is the curve obtained as the intersection of a plane, called the cutting plane, with the surface of a double cone (a cone with two nappes).It is usually assumed that the cone is a right circular cone for the purpose of easy description, but this is not required; any double cone with some circular cross-section will suffice.

  3. List of curves - Wikipedia

    en.wikipedia.org/wiki/List_of_curves

    Print/export Download as PDF; Printable version; ... Plane curves of degree 2 are known as conics or conic sections and include Circle. Unit circle; Ellipse; Parabola ...

  4. Category:Conic sections - Wikipedia

    en.wikipedia.org/wiki/Category:Conic_sections

    Print/export Download as PDF; Printable version; In other projects ... Pages in category "Conic sections" The following 51 pages are in this category, out of 51 total

  5. Circumconic and inconic - Wikipedia

    en.wikipedia.org/wiki/Circumconic_and_inconic

    In Euclidean geometry, a circumconic is a conic section that passes through the three vertices of a triangle, [1] and an inconic is a conic section inscribed in the sides, possibly extended, of a triangle. [2] Suppose A, B, C are distinct non-collinear points, and let ABC denote the triangle whose vertices are A, B, C.

  6. Conic constant - Wikipedia

    en.wikipedia.org/wiki/Conic_constant

    In geometry, the conic constant (or Schwarzschild constant, [1] after Karl Schwarzschild) is a quantity describing conic sections, and is represented by the letter K. The constant is given by K = − e 2 , {\displaystyle K=-e^{2},} where e is the eccentricity of the conic section.

  7. Five points determine a conic - Wikipedia

    en.wikipedia.org/wiki/Five_points_determine_a_conic

    requiring a conic to pass through a point imposes a linear condition on the coordinates: for a fixed (,), the equation + + + + + = is a linear equation in (,,,,,); by dimension counting , five constraints (that the curve passes through five points) are necessary to specify a conic, as each constraint cuts the dimension of possibilities by 1 ...

  8. Conical surface - Wikipedia

    en.wikipedia.org/wiki/Conical_surface

    More generally, when the directrix is an ellipse, or any conic section, and the apex is an arbitrary point not on the plane of , one obtains an elliptic cone [4] (also called a conical quadric or quadratic cone), [5] which is a special case of a quadric surface.

  9. Analytic geometry - Wikipedia

    en.wikipedia.org/wiki/Analytic_geometry

    In the Cartesian coordinate system, the graph of a quadratic equation in two variables is always a conic section – though it may be degenerate, and all conic sections arise in this way. The equation will be of the form A x 2 + B x y + C y 2 + D x + E y + F = 0 with A , B , C not all zero. {\displaystyle Ax^{2}+Bxy+Cy^{2}+Dx+Ey+F=0{\text{ with ...

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