
Concept explainers
To describe: procedure of constructing the foci

Answer to Problem 23WE
The procedure of constructing the foci is explained.
Explanation of Solution
Given:
Calculation:
Let us consider an ellipse with major axis of length
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,
Conclusion:
Therefore, the procedure of constructing the foci is explained.
Chapter 9 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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