Hyperbolic spiral Totally Explained

Everything about Hyperbolic Spiral totally explained

A hyperbolic spiral is a transcendental plane curve also known as a reciprocal spiral. It has the polar equation rθ = a, and is the inverse to the Archimedean spiral.
It begins at an infinite distance from the pole in the centre (for θ starting from zero r = a/θ starts from infinity), it winds faster and faster around as it approaches the pole, the distance from any point to the pole, following the curve, is infinite. Applying the transformation from the polar coordinate system: ť

x = r cos 	heta, qquad y = r sin 	heta,

leads to the following parametric representation in Cartesian coordinates: ť

x = a =acdot 1=a.

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