?The curves defined by the parametric equations \(x=\frac{t^{2}-c}{t^{2}+1} \quad

Chapter 16, Problem 47

(choose chapter or problem)

The curves defined by the parametric equations

                   \(x=\frac{t^{2}-c}{t^{2}+1} \quad y=\frac{t\left(t^{2}-c\right)}{t^{2}+1}\)

are called strophoids (from a Greek word meaning "to turn or twist"). Investigate how these curves vary as \(c\) varies.

Equation Transcription:

Text Transcription:

x=t^2-c/t^2+1   y=t(t^2-c)/t^2+1

c

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