Compass-Only Constructions

References:
A. N. Kostovskii, Geometrical Constructions Using Compasses Only, Pergamon Press, Popular lectures in Mathematics, Vol. 4, 1961.
Martin Gardner, Mathematical Circus, Knopf, 1979.

Midpoint

Martin Gardner, Mathematical Circus, Knopf, 1979, p. 230.

Invert a point

A. N. Kostovskii, Geometrical Constructions Using Compasses Only, Pergamon Press, Popular lectures in Mathematics, Vol. 4, 1961, pp. 34-35.

Invert a straight line

A. N. Kostovskii, Geometrical Constructions Using Compasses Only, Pergamon Press, Popular lectures in Mathematics, Vol. 4, 1961, pp. 36.

Invert a circle through center

A. N. Kostovskii, Geometrical Constructions Using Compasses Only, Pergamon Press, Popular lectures in Mathematics, Vol. 4, 1961, p. 36.

Invert a circle not passing through center

A. N. Kostovskii, Geometrical Constructions Using Compasses Only, Pergamon Press, Popular lectures in Mathematics, Vol. 4, 1961, pp. 37-38.

Circumcircle

A. N. Kostovskii, Geometrical Constructions Using Compasses Only, Pergamon Press, Popular lectures in Mathematics, Vol. 4, 1961, pp. 42-43.

Center of a circle

Martin Gardner, Mathematical Circus, Knopf, 1979, p. 221.
A. N. Kostovskii, Geometrical Constructions Using Compasses Only, Pergamon Press, Popular lectures in Mathematics, Vol. 4, 1961, pp. 40-41.

Divide a circle into four equal parts in five steps

Martin Gardner, Mathematical Circus, Knopf, 1979, p. 230.

Given one side, to construct the square

Martin Gardner, Mathematical Circus, Knopf, 1979, p. 225.

Given a diagonal, to construct the square

Martin Gardner, Mathematical Circus, Knopf, 1979, p. 231.

Regular pentagon

R. Courand and H. Robbins, What Is Mathematics?, pp. 150-151.

Compass-Only Constructions

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