Assuming that we are given a hyperbola and we know its vertices, asymptotes, and semi-major axes, is it possible to construct its foci using only a straightedge and a compass? It is easy to calculate the distance of the foci from the center using the equation of the hyperbola, but I would like to know if there is a purely geometrical way to do it.
2026-04-07 09:28:31.1775554111
ruler-straightedge construction of foci of hyperbola
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