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math.hyperbola-properties Calculator
Calculates the semi-axes, eccentricity, asymptotes, foci, and directrices of a hyperbola from its standard form equation. Hyperbolas appear in conic sections, relativistic trajectories, and the shape of cooling towers — the asymptotes define the long-range behaviour.
Inputs
A
Reference formula or conversion factor shown for context.
B
Reference formula or conversion factor shown for context.
X0
Reference formula or conversion factor shown for context.
Y0
Reference formula or conversion factor shown for context.
Results
c (focal distance)
The computed distance or separation.
eccentricity e
Sample size or count used in the calculation.
asymptote slopes
The gradient -- rise divided by run. In finance, rate of change per unit time.
directrix x=
Reference formula or conversion factor shown for context.