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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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For Exercises 39 to 44, make drawings as needed.

If two spheres intersect at more than one point, what type of geometric figure is determined by their intersection?

To determine

To find:

The geometric figure formed by the intersection of two spheres at more than one point.

Explanation

Approach:

A sphere is a three dimensional solid figure, which is made up of all points in the space, which lie at a common distance, called the radius, from a fixed point called the center of the sphere. A sphere is a 3 dimensional version of a circle. Similar to a circle, a sphere may have tangent and secant lines. In addition, the sphere may also have tangent planes.

1) A line which intersects a sphere in two distinct points is called the secant of a sphere.

2) A line which intersects a sphere in only one point is called the tangent to a sphere...

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