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Spirograph is a geometric drawing device that produces mathematical roulette curves of the variety technically known as hypotrochoids and epitrochoids. The well-known toy version was developed by British engineer Denys Fisher and first sold in 1965.
The epitrochoid with R = 3, r = 1 and d = 1/2. In geometry, an epitrochoid (/ ɛ p ɪ ˈ t r ɒ k ɔɪ d / or / ɛ p ɪ ˈ t r oʊ k ɔɪ d /) is a roulette traced by a point attached to a circle of radius r rolling around the outside of a fixed circle of radius R, where the point is at a distance d from the center of the exterior circle.
The red curve is a hypotrochoid drawn as the smaller black circle rolls around inside the larger blue circle (parameters are R = 5, r = 3, d = 5).. In geometry, a hypotrochoid is a roulette traced by a point attached to a circle of radius r rolling around the inside of a fixed circle of radius R, where the point is a distance d from the center of the interior circle.
A pneumograph, also known as a pneumatograph or spirograph, is a device for recording velocity and force of chest movements during respiration. Principle of operation
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Among his other patents were the parabolagraph, the spirograph, the electric bell used in trains, and an electric arc lamp of his own design. [5] Abakanowicz published several works, including works on statistics, integrators and numerous popular scientific works, such as one describing his integraph.
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As a young man in 1827 he had developed a so-called "Speiragraph", an early prototype for the spirograph. He evidently continued on with experiments and inventions, and on 27 February 1860 received British patent no. 537 for 28 monocular and stereoscopic variations of cylindrical stroboscopic devices (see zoetrope ). [ 7 ]