On strict strong constructibility with a compass alone

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We show that every point in the plane which can be constructed by a compass and a ruler, given a set S of points, can be constructed using a compass alone so that the following restriction is met. Let O and K be two arbitrarily chosen distinct points of S. Then every point is obtained as a proper intersection of two circles that are either completely symmetrical with respect to the line OK or have both their centers on this line.

Original languageEnglish
Pages (from-to)12-15
Number of pages4
JournalJournal of Geometry
Issue number1-2
StatePublished - Jul 1990


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