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metal prints prolate cycloid metal prints locus metal prints curve metal prints cycloid metal prints demonstrating metal prints moving metal prints rotating metal prints history metal prints geometry metal prints mathematics metal prints diagram metal prints coloured metal prints 1891 metal prints 19th century metal prints 1800s metal prints

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Cycloidal geometry. Historical artwork showing a geometrical curve called a cycloid. This curve can be generated by tracing the path of a point on a circle that is rolling along a straight line. This can be seen as combining translational (forward) movement, and rotational (cyclical) movement. The shapes formed can vary, depending on the location of the point chosen, and the reference system used. An observer on the wagon sees only circular motions. A stationary observer will see cycloidal motion. This cycloid contains loops, and is called a prolate cycloid. Cycloids are used in the shape of gear teeth and violins. Artwork from Physique Populaire (E. Desbeaux, 1891).

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