Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Concept explainers

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is…

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Question

Chapter 9.4, Problem 23WE

To determine

To describe: procedure of constructing the foci

Expert Solution & Answer

Answer to Problem 23WE

The procedure of constructing the foci is explained.

Explanation of Solution

Given:

Algebra and Trigonometry: Structure and Method, Book 2, Chapter 9.4, Problem 23WE

Calculation:

Let us consider an ellipse with major axis of length 2a and minor axis of length 2b .

The sum of the focal radii is equal to the length of the major axis.

The distances to each of the foci from a point at a distance b from the canter on the minor axis are equal.

Place the compass at the point b on the minor axis and sketch an arc of radius a intersecting the major axis at two points.

The sum of the distances from any point on the ellipse to these two points is a constant, 2a .

Conclusion:

Therefore, the procedure of constructing the foci is explained.

Chapter 9.4, Problem 22WE

Chapter 9.4, Problem 24WE

Chapter 9 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 9.1 - Prob. 1OE Ch. 9.1 - Prob. 2OE Ch. 9.1 - Prob. 3OE Ch. 9.1 - Prob. 4OE Ch. 9.1 - Prob. 5OE Ch. 9.1 - Prob. 6OE Ch. 9.1 - Prob. 7OE Ch. 9.1 - Prob. 8OE Ch. 9.1 - Prob. 9OE Ch. 9.1 - Prob. 10OE

Ch. 9.1 - Prob. 11OE Ch. 9.1 - Prob. 12OE Ch. 9.1 - Prob. 13OE Ch. 9.1 - Prob. 14OE Ch. 9.1 - Prob. 15OE Ch. 9.1 - Prob. 1WE Ch. 9.1 - Prob. 2WE Ch. 9.1 - Prob. 3WE Ch. 9.1 - Prob. 4WE Ch. 9.1 - Prob. 5WE Ch. 9.1 - Prob. 6WE Ch. 9.1 - Prob. 7WE Ch. 9.1 - Prob. 8WE Ch. 9.1 - Prob. 9WE Ch. 9.1 - Prob. 10WE Ch. 9.1 - Prob. 11WE Ch. 9.1 - Prob. 12WE Ch. 9.1 - Prob. 13WE Ch. 9.1 - Prob. 14WE Ch. 9.1 - Prob. 15WE Ch. 9.1 - Prob. 16WE Ch. 9.1 - Prob. 17WE Ch. 9.1 - Prob. 18WE Ch. 9.1 - Prob. 19WE Ch. 9.1 - Prob. 20WE Ch. 9.1 - Prob. 21WE Ch. 9.1 - Prob. 22WE Ch. 9.1 - Prob. 23WE Ch. 9.1 - Prob. 24WE Ch. 9.1 - Prob. 25WE Ch. 9.1 - Prob. 26WE Ch. 9.1 - Prob. 27WE Ch. 9.1 - Prob. 28WE Ch. 9.1 - Prob. 29WE Ch. 9.1 - Prob. 30WE Ch. 9.1 - Prob. 31WE Ch. 9.1 - Prob. 32WE Ch. 9.1 - Prob. 1P Ch. 9.1 - Prob. 2P Ch. 9.1 - Prob. 3P Ch. 9.1 - Prob. 4P Ch. 9.1 - Prob. 5P Ch. 9.1 - Prob. 6P Ch. 9.1 - Prob. 7P Ch. 9.1 - Prob. 8P Ch. 9.1 - Prob. 9P Ch. 9.1 - Prob. 10P Ch. 9.1 - Prob. 11P Ch. 9.1 - Prob. 12P Ch. 9.1 - 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