Acnode/Examples
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Examples of Acnodes
Policeman on Point Duty
Consider the locus of the equation:
- $x^2 y^2 = a^2 \paren {x^2 + y^2}$
This is the classic quartic curve "policeman on point duty":
which has an acnode at $\tuple {0, 0}$.
Example: $y^2 = x^3 - x^2$
Consider the locus of the equation:
- $y^2 = x^3 - x^2$
This has an acnode at $\tuple {0, 0}$.