Handbook - Tutorial - Problems about Segments and Angles

Geometric Construction of the "Golden Ratio"



Draw a segment AB, using Segment with two points.
Build a circle centered in B, with radius AB, using Circle with center point and drow a line perpendicular to AB, passing through B. This line intersects the circle in C.
Build the segment BC, using Segment with two points.
Define the Middle point M of BC, using the given Interaction method, and build the circumference centered in M with radius BM, using Circle with center point.
Build the line AM, using Line: it intersects the circle Circle2 in the point P that is the nearest to A.
Build the circumference centered in A with radius PA, using Circle with center point.
This circle intersects the segment AB in H.
The segment AH is called the Golden Ratio of the segment AB.