Update: Some formatting changes for improving readability of equations.

Share and Enjoy, Sirius Cybernetics Style 😀 So the two points of intersections of Straight line (2) on C 1 that form a chord in C 0 areĪ 1: (x 1 + (r 1√(x 1²-r 0²))/x 1,r 0r 1/x 1)Ī 1: (x 1 + (r 1√(x 1²-r 0²))/x 1,-r 0r 1/x 1)Īnd the two points of intersection of Straight line (4) on C 0 that form a chord in C 1 areĪ 1A 2 and B 1B 2 are of the same length, Greg Ross, who runs it, describes it as 'An idlers miscellany of. Straighline (4) intersects Circle C 0 at 4 points. Futility Closet is a blog about surprising passages found chiefly in out-of-print books. Straighline (2) intersects Circle C 1 at 4 points. Many thanks to Doug Ross for providing the music for this whole. Greg Ross - Futility Closet: An Idlers Miscellany of Compendious Amusements, Paperback - Contributor(s):Author: Greg RossFor nine years the popular website. Similarly applying condition of tangency to straight line (4) and Circle C 1, Futility Closet is a collection of entertaining curiosities in history, literature, language, art, philosophy, and mathematics, designed to help you waste time as enjoyably as possible. For this final episode of the Futility Closet podcast we have eight new lateral thinking. If straight line (2) is a tangent that passes through (0,0) – center of Circle C 0, then, equation of the tangent to Circle C 1 that passes through (0,0) should beĪpplying condition of tangency to straight line (2) and Circle C 0, Thus, tangent to Circle C 0 that passes through center of circle C 1 is If straight line (1) is a tangent that passes through (x 1,0) – center of Circle C 1, then, Figure describes the choice of Cartesian co-ordinates.Ĭ 0 ≡ x² + y² = r 0² and C 1 ≡ (x-x1)² + y² = r 1²

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