Rectangular (equilateral) hyperbola (xy = c² has asymptotes as axes; standard x²/a²−y²/a²=1 has e = √2)

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xy = c² has asymptotes as axes; standard x²/a²−y²/a²=1 has e = √2

What each symbol means

SymbolWhat it stands for
aEqual transverse/conjugate scale
cConstant for xy = c²

When to use this

Rectangular: perpendicular asymptotes for x²/a²−y²/a²=1.