ಒಂದು ವೇಳೆ  x = a secn θ, y = b tanθ, ಆದರೆ:

1
\({\left( {\frac{a}{x}} \right)^{2/n}} + {\left( {\frac{b}{y}} \right)^{\frac{2}{n}}}\) = 1
2
\({\left( {\frac{x}{a}} \right)^{2/n}} - {\left( {\frac{y}{b}} \right)^{\frac{2}{n}}}\) = 1
3
\({\left( {\frac{a}{x}} \right)^{2/n}} - {\left( {\frac{b}{y}} \right)^{\frac{2}{n}}}\) = 1
4
\({\left( {\frac{x}{a}} \right)^{2/n}} + {\left( {\frac{y}{b}} \right)^{\frac{2}{n}}}\) = 1

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