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strophoid

   Also found in: Encyclopedia, Wikipedia 0.02 sec.
stro·phoid  (strfoid)
n.
The curve traced out by points P and P which lie on lines through a fixed point A where the midpoint M of PP is on a fixed line and the absolute value PM = the absolute value PM = the absolute value MO, where O is the projection of A onto that fixed line.

[Greek strophos, twisted cord (from strephein, to turn; see streb(h)- in Indo-European roots) + -oid.]
click for a larger image
strophoid
graph of the equation
y2
=
x2(a + x)/(a - x)

strophoid  (strfoid)
The curve traced out by points P and P which lie on lines through a fixed point A where the midpoint M of PP is on a fixed line and the absolute value PM equals the absolute value PM equals the absolute value MO, where O is the projection of A onto that fixed line.
click for a larger image
strophoid
graph of the equation y2= x2(a + x)/(a - x)


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