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If we discard the origin, we can divide all coefficients by their sum to see that a conical combination is a convex combination scaled by a positive factor. In the plane, the conical hull of a circle passing through the origin is the open half-plane defined by the tangent line to the circle at the origin plus the origin.
The slant height of a right circular cone is the distance from any point on the circle of its base to the apex via a line segment along the surface of the cone. It is given by r 2 + h 2 {\displaystyle {\sqrt {r^{2}+h^{2}}}} , where r {\displaystyle r} is the radius of the base and h {\displaystyle h} is the height.
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If the directrix is a circle , and the apex is located on the circle's axis (the line that contains the center of and is perpendicular to its plane), one obtains the right circular conical surface or double cone. [2]
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.
The ripples formed by dropping a small object into still water naturally form an expanding system of concentric circles. [9] Evenly spaced circles on the targets used in target archery [10] or similar sports provide another familiar example of concentric circles.
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The curve that has a catacaustic forming a circle. Approximates the Archimedean spiral. [11] Atomic spiral: 2002 = This spiral has two asymptotes; one is the circle of radius 1 and the other is the line = [12] Galactic spiral: 2019