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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.
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 ...
Trivia questions for kids can be brain-bending fun for the whole family. Asking kids thought-provoking questions is a great way to engage their critical-thinking skills, according to Laura Linn ...
A worksheet, in the word's original meaning, is a sheet of paper on which one performs work. They come in many forms, most commonly associated with children's school work assignments, tax forms, and accounting or other business environments. Software is increasingly taking over the paper-based worksheet.
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 .
To the definition of an oval: e: exterior (passing) line, t: tangent, s: secant. In projective geometry an oval is a point set in a plane that is defined by incidence properties. The standard examples are the nondegenerate conics. However, a conic is only defined in a pappian plane, whereas an oval may exist in any type of projective plane. In ...
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