Fish Curve - Conversion From Two Parametric Equations To A Single Equation

Conversion From Two Parametric Equations To A Single Equation

Converting a set of parametric equations involves eliminating the variable t from the simultaneous equations . If one of these equations can be solved for t, the expression obtained can be substituted into the other equation to obtain an equation involving x and y only. If x(t) and y(t) are rational functions then the techniques of the Theory of Equations such as resultants can be used to eliminate t. This is possible for the parametric equations describing the fish curve, as shown above.

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