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Conical surface

Conic Con"ic, Conical Con"ic*al, a. [Gr. ?: cf. F. conique. See Cone.] 1. Having the form of, or resembling, a geometrical cone; round and tapering to a point, or gradually lessening in circumference; as, a conic or conical figure; a conical vessel. 2. Of or pertaining to a cone; as, conic sections. Conic section (Geom.), a curved line formed by the intersection of the surface of a right cone and a plane. The conic sections are the parabola, ellipse, and hyperbola. The right lines and the circle which result from certain positions of the plane are sometimes, though not generally included. Conic sections, that branch of geometry which treats of the parabola, ellipse, and hyperbola. Conical pendulum. See Pendulum. Conical projection, a method of delineating the surface of a sphere upon a plane surface as if projected upon the surface of a cone; -- much used by makers of maps in Europe. Conical surface (Geom.), a surface described by a right line moving along any curve and always passing through a fixed point that is not in the plane of that curve.

Conic Con"ic, Conical Con"ic*al, a. [Gr. ?: cf. F. conique. See Cone.] 1. Having the form of, or resembling, a geometrical cone; round and tapering to a point, or gradually lessening in circumference; as, a conic or conical figure; a conical vessel. 2. Of or pertaining to a cone; as, conic sections. Conic section (Geom.), a curved line formed by the intersection of the surface of a right cone and a plane. The conic sections are the parabola, ellipse, and hyperbola. The right lines and the circle which result from certain positions of the plane are sometimes, though not generally included. Conic sections, that branch of geometry which treats of the parabola, ellipse, and hyperbola. Conical pendulum. See Pendulum. Conical projection, a method of delineating the surface of a sphere upon a plane surface as if projected upon the surface of a cone; -- much used by makers of maps in Europe. Conical surface (Geom.), a surface described by a right line moving along any curve and always passing through a fixed point that is not in the plane of that curve.

- In geometry, a (general) conical surface is the unbounded surface formed by the union of all the straight lines that p**** through a fixed point — the apex...

- or partial lines is called the lateral surface; if the lateral surface is unbounded, it is a conical surface. In the case of line segments, the cone...

- lies on S. Examples include the plane, the curved surface of a cylinder or cone, a conical surface with elliptical directrix, the right conoid, the helicoid...

- surfaces of revolution generated by a straight line are cylindrical and conical surfaces depending on whether or not the line is parallel to the axis. A circle...

- conic section as a slice of a quadratic form. Instead of a conical surface, one requires conical hypersurfaces in four-dimensional space with points p =...

- minimal surface Triply periodic minimal surface Catalan surface right conoid Conical surface helicoid sphericon Hyperboloid of one sheet (doubly ruled)...

- chemistry, a conical intersection of two or more potential energy surfaces is the set of molecular geometry points where the potential energy surfaces are degenerate...

- angle of conical surface. Figure 6 shows Mohr–Coulomb yield surface in two-dimensional stress space. It is a cross section of this conical prism on the...

- A conical hill (also cone or conical mountain) is a landform with a distinctly conical shape. It is usually isolated or rises above other surrounding foothills...

- generally, conical surfaces; away from the apex The oloid and the sphericon are members of a special family of solids that develop their entire surface when...

- or partial lines is called the lateral surface; if the lateral surface is unbounded, it is a conical surface. In the case of line segments, the cone...

- lies on S. Examples include the plane, the curved surface of a cylinder or cone, a conical surface with elliptical directrix, the right conoid, the helicoid...

- surfaces of revolution generated by a straight line are cylindrical and conical surfaces depending on whether or not the line is parallel to the axis. A circle...

- conic section as a slice of a quadratic form. Instead of a conical surface, one requires conical hypersurfaces in four-dimensional space with points p =...

- minimal surface Triply periodic minimal surface Catalan surface right conoid Conical surface helicoid sphericon Hyperboloid of one sheet (doubly ruled)...

- chemistry, a conical intersection of two or more potential energy surfaces is the set of molecular geometry points where the potential energy surfaces are degenerate...

- angle of conical surface. Figure 6 shows Mohr–Coulomb yield surface in two-dimensional stress space. It is a cross section of this conical prism on the...

- A conical hill (also cone or conical mountain) is a landform with a distinctly conical shape. It is usually isolated or rises above other surrounding foothills...

- generally, conical surfaces; away from the apex The oloid and the sphericon are members of a special family of solids that develop their entire surface when...

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