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strophoid

stro·phoid

noun
The curve traced out by points P and Pˌ which lie on lines through a fixed point A where the midpoint M of PPˌ is on a fixed line and the absolute value |PM| = the absolute value |PˌM| = the absolute value |MO|, where O is the projection of A onto that fixed line.

Origin: Greek strophos, twisted cord (from strephein, to turn; see streb(h)- in Indo-European roots) + -oid.

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strophoid

graph of the equation

y2

=

x2(a + x)/(a - x)

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strophoid

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