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Eccentricity of Hyperbola Calculator

Online hyperbola eccentricity: e=c/a>1; larger e means a wider opening.

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e=c/a>1
c>a
Focal distance

📖 Tutorial | Hyperbola e

1. Definition
The hyperbola eccentricity is e=c/a, c=√(a²+b²), range e>1.
2. Formula & Notation
a,cAxis, focal distance
3. Properties & Laws
  • e=c/a>1;
  • Rectangular hyperbola e=√2;
  • Larger e, wider opening;
  • c>a.
4. Steps
  1. Enter c>a>0;
  2. Click "Find e";
  3. Or click "Load Example".
5. Worked Examples
Example: 3,5: e=5/3≈1.667.
6. Common Pitfalls
c>a;
e>1;
Rectangular is √2.

❓ FAQ | Hyperbola e

Range?
>1.
Rectangular?
√2.
c?
√(a²+b²).
Meaning?
Opening.
Example?
1.667.
Larger?
Wider.