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An oval (from Latin ovum 'egg') is a closed curve in a plane which resembles the outline of an egg. The term is not very specific, but in some areas ( projective geometry , technical drawing , etc.) it is given a more precise definition, which may include either one or two axes of symmetry of an ellipse .
A Cartesian oval is a set of points such that a weighted sum of the distances from any of its points to two fixed points (foci) is a constant. An ellipse is the case in which the weights are equal. A circle is an ellipse with an eccentricity of zero, meaning that the two foci coincide with each other as the centre of the circle.
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Example of Cartesian ovals. In geometry , a Cartesian oval is a plane curve consisting of points that have the same linear combination of distances from two fixed points ( foci ). These curves are named after French mathematician René Descartes , who used them in optics .
Aname-giri ; diagonal cut, cut at a 45-degree angle to make oval slices. Icho-giri; gingko leaf cut, cut into round slices which are cut into quarters. Koguchigiri; small edge cuts into tiny round slices. Kushigatagiri; wedge cut or comb cut. Kakugiri; cut into cubes. Sainome-kiri; cut into small cubes.
An oval is a curve similar to a circle (see definition below): any line meets it in at most 2 points and through any point of it there is exactly one tangent. The standard examples are the nondegenerate projective conic sections. In pappian projective planes of even order greater than four there are ovals which are not conics. In an infinite ...
The simplest example of a coordinate system is the identification of points on a line with real numbers using the number line.In this system, an arbitrary point O (the origin) is chosen on a given line.
Cassini ovals as planar sections of a torus (the torus on the right is a spindle torus) Cassini ovals appear as planar sections of tori, but only when the cutting plane is parallel to the axis of the torus and its distance to the axis equals the radius of the generating circle (see picture). The intersection of the torus with equation
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