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Ptolemy's Theorem yields as a corollary a pretty theorem [2] regarding an equilateral triangle inscribed in a circle. Given An equilateral triangle inscribed on a circle and a point on the circle. The distance from the point to the most distant vertex of the triangle is the sum of the distances from the point to the two nearer vertices.
ABC Circle Films (ACF or Circle) was a television movie and series production company owned by ABC that operated from 1970 [ABCMOW 1] to 1989. ABC Circle Films was formed after the first season of Movie of the Week to build on the telefilm success. ACF was granted a larger budget (by $250,000) and half an hour longer than the movie of the week ...
An inversion in their tangent point with respect to a circle of appropriate radius transforms the two touching given circles into two parallel lines, and the third given circle into another circle. Thus, the solutions may be found by sliding a circle of constant radius between two parallel lines until it contacts the transformed third circle.
Instead of being radially arrayed on a disc, the sequence of pictures depicting phases of motion is on a paper strip. For viewing, this is placed against the inner surface of the lower part of an open-topped metal drum, the upper part of which is provided with a vertical viewing slit across from each picture. The drum, on a spindle base, is spun.
Thales’ theorem: if AC is a diameter and B is a point on the diameter's circle, the angle ∠ ABC is a right angle.. In geometry, Thales's theorem states that if A, B, and C are distinct points on a circle where the line AC is a diameter, the angle ∠ ABC is a right angle.
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