You have seen that for an ellipse, the sum of the distances from any point to the

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You have seen that for an ellipse, the sum of the distances from any point to the two foci is constant. For a hyperbola, the difference of the distances from any point to the two foci is constant. What shape is created if the product of the distances is constant? What if the ratio of the distances is constant? You may want to use geometry software to explore these patterns.
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Discovering Advanced Algebra An Investigative Approach

ISBN: 978-1559539845

1st edition

Authors: Jerald Murdock, Ellen Kamischke, Eric Kamischke

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