10
Part of 1961 Miklós Schweitzer
Problems(1)
Miklós Schweitzer 1961- Problem 10
Source:
12/1/2015
10. Given a straight line in the plane and a point on . Construct, without making use of the Parallel Axiom, the half-line perpendicular to at the point and lying in one of the half-planes defined by , under the following restrictions: The construction must be effected by use of a ruler and of a length standard (i.e. an etalon-segment) only; moreover, all lines and points of the construction must lie in the chosen half-plane. (G. 20)
college contests