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Contemporary Abstract Algebra | 8th Edition | ISBN: 9781133599708 | Authors: Joseph Gallian
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Describe the symmetries of a noncircular ellipse. Do the

Chapter 1, Problem 15E

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QUESTION:

Problem 15E

Describe the symmetries of a noncircular ellipse. Do the same for a hyperbola.

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QUESTION:

Problem 15E

Describe the symmetries of a noncircular ellipse. Do the same for a hyperbola.

ANSWER:

Step 1 of 2

Symmetries of a Noncircular Ellipse:

A noncircular ellipse has two axes of symmetry. The major axis is the longest line segment in the ellipse, and it divides the ellipse into two halves that are mirror images of each other. The minor axis is the shorter line segment, and it divides the ellipse into two halves that are also mirror images of each other. Additionally, the ellipse has two focal points; the line connecting these two points is called the focal axis, and it, too, divides the ellipse into two mirror image parts.

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