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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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In Exercises 27 to 34, Sketch and describe the locus of points in space.

In a room, find the locus of points that are equidistant from the parallel ceiling and floor, which are 8 ft apart.

To determine

To find:

The locus of points that are equidistant from the parallel ceiling and floor, which are 8 ft apart.

Explanation

Definition:

A locus is set of all points and only those points that satisfy a given set of conditions.

It must be noted that, the phrase “all points and only those points” has dual meaning as follows:

1. All points of the locus satisfy the given condition.

2. All points satisfying the given locus conditions are included in the locus.

Calculation:

It is given that the distance between the ceiling and the floor is 8 feet. We need to find the locus of points that are equidistant from the parallel ceiling and floor.

Draw an imaginary plane midway between the ceiling and the floor.

The points on the imaginary plane are equidistant from the ceiling and the floor

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