MathDB
constructing plane intersection

Source: Yugoslav TST 1987 P3

May 28, 2021
geometry3D geometryconstruction

Problem Statement

Let there be given lines a,b,ca,b,c in the space, no two of which are parallel. Suppose that there exist planes α,β,γ\alpha,\beta,\gamma which contain a,b,ca,b,c respectively, which are perpendicular to each other. Construct the intersection point of these three planes. (A space construction permits drawing lines, planes and spheres and translating objects for any vector.)
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