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(generalized) strophoid |
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last updated: 2003-08-01 |
Given a curve C1 and fixed points O
(pole) and A (another point). Draw lines l through O that intersect C1 in Q. Then the strophoid
is defined as the collection of points P (on l) for which PQ is equal to a AQ.
Some special cases:
| curve C1 | pole O | fixed point A | strophoid |
| line | not on C1 | on C1 | oblique strophoid |
| line | not on C1 | projection of O on C1 | (right) strophoid |
| circle | center of C1 | on C1 | Freeth's nephroid |
| trisectrix of Maclaurin | ... | ... | Freeth's strophoid |