Cissoid
Given two curves 
and 
and a fixed
point 
, let a line from 
cut 
at 
and 
at 
. Then the locus
of a point 
such that 
is the cissoid.
The word cissoid means "ivy shaped."
| curve 1 | curve 2 | pole | cissoid |
| line | parallel line | any point | line |
| line | circle | center of circle | conchoid of Nicomedes |
| circle | circle tangent line | on circumference | oblique cissoid |
| circle | circle tangent line | on circumference opposite tangent | cissoid of Diocles |
| circle | radial line | on circumference | strophoid |
| circle | concentric circle | center of circles | circle |
| circle | same circle |  | lemniscate |
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cissoid
