   Chapter 7.1, Problem 35E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Note: Exercises preceded by an asterisk are of a more challenging nature.In Exercises 29 to 36, 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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