Chapter 12.7, Problem 9PPS

To determine

To find the following from the given sphere

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

Answer to Problem 9PPS

• $\overrightarrow{XY}\text{and }\overrightarrow{WZ}$
• $\overleftrightarrow{ZW}\text{or }\overleftrightarrow{XY}$
• $△MRT$

Explanation of Solution

Given information:

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

Since S is also the intersection of great circles XY and WZ, the line segments that contains the point S are XY and WZ

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