Conic Sections: The Ellipse - Part 2

With the standard form of the ellipse being x²/a² + y²/b² = 1 and given the eccentricity, e, we can define and determine all of the features of the ellipse.

For instance, the:

• x-intercepts are located at coordinates (a,0) and (-a,0)
• y-intercepts are located at coordinates (0,b) and (0,-b)
• semi-major axis has a length of a
• semi-minor axis has a length of b
• foci are located at (ea,0) and (-ea,0)
• directrices have equations x = a/e and x = -a/e

Suggested tutorials:

• Conic Sections: The Ellipse - Part 1

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