- The name lemniscate is sometimes given to any
**crunodal**quartic curve having only one real finite branch which is symmetric about the axis. - For a
**crunodal**cubic the six inflections which disappear are two of them real, the other four imaginary, and there remain two imaginary inflections and one real inflection. - The oval may unite itself with the infinite branch, or it may dwindle into a point, and we have the
**crunodal**and the acnodal forms respectively; or if simultaneously the oval dwindles into a point and unites itself to the infinite branch, we have the cuspidal form. **Crunodal**or acnodal), or cuspidal; and we see further that there are two kinds of non-singular curves, the complex and the simplex.- There is thus a complete division into the five kinds, the complex, simplex,
**crunodal**, acnodal and cuspidal.

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