McDougal Littell Jurgensen Geometry: Student Edition Geometry
5th Edition
ISBN: 9780395977279
Author: Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Publisher: Houghton Mifflin Company College Division
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Question
Chapter 9.2, Problem 21WE
a)
To determine
To find: the number of planes that can be drawn tangent to each of the spheres.
a)
Expert Solution
Answer to Problem 21WE
There are infinite numbers of planes that are tangent to each of the spheres.
Explanation of Solution
Given Information:
Given figure,
Calculation:
Consider three spheres as shown in the figure below.
It is required to find the number of planes that can be drawn tangent to each of the spheres.
A sphere is a locus of points in a space which are equidistant from a fixed point.
There are infinite numbers of points on the surface of a sphere.
Through each of these points, a plane can be drawn tangent to the surface of a sphere.
Therefore, there are infinite numbers of planes that are tangent to each of the spheres.
b)
To determine
To find: the number of spheres that can be drawn tangent to all three spheres.
b)
Expert Solution
Answer to Problem 21WE
There can be only one such sphere which lies at the center of three spheres.
Explanation of Solution
Given Information:
Given figure,
Calculation:
It is required to find the number of spheres which are tangent to each of the spheres.
The above figure shows three spheres, two in a row and then one directly above this row.
The three spheres seem congruent to each other.
It is required to draw spheres which are tangent to all the three given spheres.
There can be only one such sphere which lies at the center of three spheres.
The figure is shown below:
Chapter 9 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
Ch. 9.1 - Prob. 1CECh. 9.1 - Prob. 2CECh. 9.1 - Prob. 3CECh. 9.1 - Prob. 4CECh. 9.1 - Prob. 5CECh. 9.1 - Prob. 6CECh. 9.1 - Prob. 7CECh. 9.1 - Prob. 8CECh. 9.1 - Prob. 9CECh. 9.1 - Prob. 10CE
Ch. 9.1 - Prob. 11CECh. 9.1 - Prob. 1WECh. 9.1 - Prob. 2WECh. 9.1 - Prob. 3WECh. 9.1 - Prob. 4WECh. 9.1 - Prob. 5WECh. 9.1 - Prob. 6WECh. 9.1 - Prob. 7WECh. 9.1 - Prob. 8WECh. 9.1 - Prob. 9WECh. 9.1 - Prob. 10WECh. 9.1 - Prob. 11WECh. 9.1 - Prob. 12WECh. 9.1 - Prob. 13WECh. 9.1 - Prob. 14WECh. 9.1 - Prob. 15WECh. 9.1 - Prob. 16WECh. 9.1 - Prob. 17WECh. 9.1 - Prob. 18WECh. 9.1 - Prob. 19WECh. 9.1 - Prob. 20WECh. 9.1 - Prob. 1ECh. 9.1 - Prob. 2ECh. 9.1 - Prob. 3ECh. 9.1 - Prob. 4ECh. 9.1 - Prob. 5ECh. 9.2 - Prob. 1CECh. 9.2 - Prob. 2CECh. 9.2 - Prob. 3CECh. 9.2 - Prob. 4CECh. 9.2 - Prob. 5CECh. 9.2 - Prob. 1WECh. 9.2 - Prob. 2WECh. 9.2 - Prob. 3WECh. 9.2 - Prob. 4WECh. 9.2 - Prob. 5WECh. 9.2 - Prob. 6WECh. 9.2 - Prob. 7WECh. 9.2 - Prob. 8WECh. 9.2 - Prob. 9WECh. 9.2 - Prob. 10WECh. 9.2 - Prob. 11WECh. 9.2 - Prob. 12WECh. 9.2 - Prob. 13WECh. 9.2 - Prob. 14WECh. 9.2 - Prob. 15WECh. 9.2 - Prob. 16WECh. 9.2 - Prob. 17WECh. 9.2 - Prob. 18WECh. 9.2 - Prob. 19WECh. 9.2 - Prob. 20WECh. 9.2 - Prob. 21WECh. 9.2 - Prob. 22WECh. 9.2 - Prob. 23WECh. 9.2 - Prob. 1MRECh. 9.2 - Prob. 2MRECh. 9.2 - Prob. 3MRECh. 9.3 - Prob. 1CECh. 9.3 - Prob. 2CECh. 9.3 - Prob. 3CECh. 9.3 - Prob. 4CECh. 9.3 - Prob. 5CECh. 9.3 - Prob. 6CECh. 9.3 - Prob. 7CECh. 9.3 - Prob. 8CECh. 9.3 - Prob. 9CECh. 9.3 - Prob. 10CECh. 9.3 - Prob. 11CECh. 9.3 - Prob. 12CECh. 9.3 - Prob. 13CECh. 9.3 - Prob. 1WECh. 9.3 - Prob. 2WECh. 9.3 - Prob. 3WECh. 9.3 - Prob. 4WECh. 9.3 - Prob. 5WECh. 9.3 - Prob. 6WECh. 9.3 - Prob. 7WECh. 9.3 - Prob. 8WECh. 9.3 - Prob. 9WECh. 9.3 - Prob. 10WECh. 9.3 - Prob. 11WECh. 9.3 - Prob. 12WECh. 9.3 - Prob. 13WECh. 9.3 - Prob. 14WECh. 9.3 - Prob. 15WECh. 9.3 - Prob. 16WECh. 9.3 - Prob. 17WECh. 9.3 - Prob. 18WECh. 9.3 - Prob. 19WECh. 9.3 - Prob. 20WECh. 9.3 - Prob. 21WECh. 9.3 - Prob. 22WECh. 9.3 - Prob. 23WECh. 9.3 - Prob. 24WECh. 9.4 - Prob. 1CECh. 9.4 - Prob. 2CECh. 9.4 - Prob. 3CECh. 9.4 - Prob. 4CECh. 9.4 - Prob. 5CECh. 9.4 - Prob. 6CECh. 9.4 - Prob. 7CECh. 9.4 - Prob. 1WECh. 9.4 - Prob. 2WECh. 9.4 - Prob. 3WECh. 9.4 - Prob. 4WECh. 9.4 - Prob. 5WECh. 9.4 - Prob. 6WECh. 9.4 - Prob. 7WECh. 9.4 - Prob. 8WECh. 9.4 - Prob. 9WECh. 9.4 - Prob. 10WECh. 9.4 - Prob. 11WECh. 9.4 - Prob. 12WECh. 9.4 - Prob. 13WECh. 9.4 - Prob. 14WECh. 9.4 - Prob. 15WECh. 9.4 - Prob. 16WECh. 9.4 - Prob. 17WECh. 9.4 - Prob. 18WECh. 9.4 - Prob. 19WECh. 9.4 - Prob. 20WECh. 9.4 - Prob. 21WECh. 9.4 - Prob. 22WECh. 9.4 - Prob. 23WECh. 9.4 - Prob. 24WECh. 9.4 - Prob. 25WECh. 9.4 - Prob. 26WECh. 9.4 - Prob. 27WECh. 9.4 - Prob. 1ST1Ch. 9.4 - Prob. 2ST1Ch. 9.4 - Prob. 3ST1Ch. 9.4 - Prob. 4ST1Ch. 9.4 - Prob. 5ST1Ch. 9.4 - Prob. 6ST1Ch. 9.5 - Prob. 1CECh. 9.5 - Prob. 2CECh. 9.5 - Prob. 3CECh. 9.5 - Prob. 4CECh. 9.5 - Prob. 5CECh. 9.5 - Prob. 6CECh. 9.5 - Prob. 7CECh. 9.5 - Prob. 8CECh. 9.5 - Prob. 9CECh. 9.5 - Prob. 10CECh. 9.5 - Prob. 11CECh. 9.5 - Prob. 12CECh. 9.5 - Prob. 13CECh. 9.5 - Prob. 14CECh. 9.5 - Prob. 1WECh. 9.5 - Prob. 2WECh. 9.5 - Prob. 3WECh. 9.5 - Prob. 4WECh. 9.5 - Prob. 5WECh. 9.5 - Prob. 6WECh. 9.5 - Prob. 7WECh. 9.5 - Prob. 8WECh. 9.5 - Prob. 9WECh. 9.5 - Prob. 10WECh. 9.5 - Prob. 11WECh. 9.5 - Prob. 12WECh. 9.5 - Prob. 13WECh. 9.5 - Prob. 14WECh. 9.5 - Prob. 15WECh. 9.5 - Prob. 16WECh. 9.5 - Prob. 17WECh. 9.5 - Prob. 18WECh. 9.5 - Prob. 19WECh. 9.5 - Prob. 20WECh. 9.5 - Prob. 21WECh. 9.5 - Prob. 22WECh. 9.5 - Prob. 23WECh. 9.5 - Prob. 24WECh. 9.5 - Prob. 25WECh. 9.5 - Prob. 26WECh. 9.5 - Prob. 27WECh. 9.5 - Prob. 28WECh. 9.5 - Prob. 29WECh. 9.5 - Prob. 1MRECh. 9.5 - Prob. 2MRECh. 9.5 - Prob. 3MRECh. 9.5 - Prob. 4MRECh. 9.5 - Prob. 5MRECh. 9.5 - Prob. 6MRECh. 9.6 - Prob. 1CECh. 9.6 - Prob. 2CECh. 9.6 - Prob. 3CECh. 9.6 - Prob. 4CECh. 9.6 - Prob. 5CECh. 9.6 - Prob. 6CECh. 9.6 - Prob. 7CECh. 9.6 - Prob. 8CECh. 9.6 - Prob. 9CECh. 9.6 - Prob. 10CECh. 9.6 - Prob. 1WECh. 9.6 - Prob. 2WECh. 9.6 - Prob. 3WECh. 9.6 - Prob. 4WECh. 9.6 - Prob. 5WECh. 9.6 - Prob. 6WECh. 9.6 - Prob. 7WECh. 9.6 - Prob. 8WECh. 9.6 - Prob. 9WECh. 9.6 - Prob. 10WECh. 9.6 - Prob. 11WECh. 9.6 - Prob. 12WECh. 9.6 - Prob. 13WECh. 9.6 - Prob. 14WECh. 9.6 - Prob. 15WECh. 9.6 - Prob. 16WECh. 9.6 - Prob. 17WECh. 9.6 - Prob. 18WECh. 9.6 - Prob. 19WECh. 9.6 - Prob. 20WECh. 9.6 - Prob. 21WECh. 9.6 - Prob. 22WECh. 9.6 - Prob. 23WECh. 9.6 - Prob. 24WECh. 9.6 - Prob. 25WECh. 9.6 - Prob. 26WECh. 9.6 - Prob. 27WECh. 9.6 - Prob. 28WECh. 9.6 - Prob. 29WECh. 9.6 - Prob. 30WECh. 9.6 - Prob. 31WECh. 9.6 - Prob. 32WECh. 9.6 - Prob. 1EXCh. 9.6 - Prob. 2EXCh. 9.6 - Prob. 3EXCh. 9.7 - Prob. 1CECh. 9.7 - Prob. 2CECh. 9.7 - Prob. 3CECh. 9.7 - Prob. 4CECh. 9.7 - Prob. 5CECh. 9.7 - Prob. 6CECh. 9.7 - Prob. 7CECh. 9.7 - Prob. 1WECh. 9.7 - Prob. 2WECh. 9.7 - Prob. 3WECh. 9.7 - Prob. 4WECh. 9.7 - Prob. 5WECh. 9.7 - Prob. 6WECh. 9.7 - Prob. 7WECh. 9.7 - Prob. 8WECh. 9.7 - Prob. 9WECh. 9.7 - Prob. 10WECh. 9.7 - Prob. 11WECh. 9.7 - Prob. 12WECh. 9.7 - Prob. 13WECh. 9.7 - Prob. 14WECh. 9.7 - Prob. 15WECh. 9.7 - Prob. 16WECh. 9.7 - Prob. 17WECh. 9.7 - Prob. 18WECh. 9.7 - Prob. 19WECh. 9.7 - Prob. 20WECh. 9.7 - Prob. 21WECh. 9.7 - Prob. 22WECh. 9.7 - Prob. 23WECh. 9.7 - Prob. 24WECh. 9.7 - Prob. 25WECh. 9.7 - Prob. 26WECh. 9.7 - Prob. 27WECh. 9.7 - Prob. 28WECh. 9.7 - Prob. 1ST2Ch. 9.7 - Prob. 2ST2Ch. 9.7 - Prob. 3ST2Ch. 9.7 - Prob. 4ST2Ch. 9.7 - Prob. 5ST2Ch. 9.7 - Prob. 6ST2Ch. 9.7 - Prob. 7ST2Ch. 9.7 - Prob. 8ST2Ch. 9.7 - Prob. 1ECh. 9.7 - Prob. 2ECh. 9.7 - Prob. 3ECh. 9.7 - Prob. 4ECh. 9.7 - Prob. 5ECh. 9 - Prob. 1CRCh. 9 - Prob. 2CRCh. 9 - Prob. 3CRCh. 9 - Prob. 4CRCh. 9 - Prob. 5CRCh. 9 - Prob. 6CRCh. 9 - Prob. 7CRCh. 9 - Prob. 8CRCh. 9 - Prob. 9CRCh. 9 - Prob. 10CRCh. 9 - Prob. 11CRCh. 9 - Prob. 12CRCh. 9 - Prob. 13CRCh. 9 - Prob. 14CRCh. 9 - Prob. 15CRCh. 9 - Prob. 16CRCh. 9 - Prob. 17CRCh. 9 - Prob. 18CRCh. 9 - Prob. 19CRCh. 9 - Prob. 20CRCh. 9 - Prob. 21CRCh. 9 - Prob. 22CRCh. 9 - Prob. 23CRCh. 9 - Prob. 24CRCh. 9 - Prob. 1CTCh. 9 - Prob. 2CTCh. 9 - Prob. 3CTCh. 9 - Prob. 4CTCh. 9 - Prob. 5CTCh. 9 - Prob. 6CTCh. 9 - Prob. 7CTCh. 9 - Prob. 8CTCh. 9 - Prob. 9CTCh. 9 - Prob. 10CTCh. 9 - Prob. 11CTCh. 9 - Prob. 12CTCh. 9 - Prob. 13CTCh. 9 - Prob. 14CTCh. 9 - Prob. 15CTCh. 9 - Prob. 16CTCh. 9 - Prob. 17CTCh. 9 - Prob. 18CTCh. 9 - Prob. 1CURCh. 9 - Prob. 2CURCh. 9 - Prob. 3CURCh. 9 - Prob. 4CURCh. 9 - Prob. 5CURCh. 9 - Prob. 6CURCh. 9 - Prob. 7CURCh. 9 - Prob. 8CURCh. 9 - Prob. 9CURCh. 9 - Prob. 10CURCh. 9 - Prob. 11CURCh. 9 - Prob. 12CURCh. 9 - Prob. 13CURCh. 9 - Prob. 14CURCh. 9 - Prob. 15CURCh. 9 - Prob. 16CURCh. 9 - Prob. 17CURCh. 9 - Prob. 18CURCh. 9 - Prob. 19CURCh. 9 - Prob. 20CURCh. 9 - Prob. 21CURCh. 9 - Prob. 22CURCh. 9 - Prob. 23CURCh. 9 - Prob. 24CURCh. 9 - Prob. 25CURCh. 9 - Prob. 26CURCh. 9 - Prob. 27CURCh. 9 - Prob. 28CURCh. 9 - Prob. 29CURCh. 9 - Prob. 30CUR
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