compass and straightedge construction of geometric mean
Draw a line segment of length . Label its endpoints and .
Extend the line segment past .
Mark off a line segment of length such that one of its endpoints is . Label its other endpoint as .
Construct a semicircle with center and radii and .
Plugging in and gives that as desired.
If you are interested in seeing the rules for compass and straightedge constructions, click on the provided.
|Title||compass and straightedge construction of geometric mean|
|Date of creation||2013-03-22 17:14:55|
|Last modified on||2013-03-22 17:14:55|
|Last modified by||Wkbj79 (1863)|