Chapter 12.7, Problem 10PPS

To determine

To find the following from the given sphere H

• Two lines containing point M
• A segment containing point S
• A triangle in given sphere

Answer to Problem 10PPS

• $\overrightarrow{CB}\text{and }\overrightarrow{GQ}$
• $\overleftrightarrow{CJ}\text{ or }\overleftrightarrow{GL}$
• $△SJG$

Explanation of Solution

Given information:

From the figure we get two lines that contains point M are line CBand line GQ since, M is the intersection of these two lines(or these two great circles)

Since S is also the intersection of great circles CBand GQ, the line segments that contains the point S are CJ or GL

One of the possible triangle from the given sphere is triangle SJG