95h:51036 51M15 51M04
Hungerbühler, Norbert(CH-ETHZ)
A short elementary proof of the Mohr-Mascheroni theorem. (English)
Amer. Math. Monthly 101 (1994), no. 8, 784--787.
In 1797, Mascheroni proved that every geometric construction that can
be carried out by ruler and compass can be carried out with compass
alone; in fact, this had already been proved in 1672 by Mohr in a
little-known publication. Simpler proofs were obtained later by means
of inversion. In the present paper the author gives a short proof that
does not use inversion.
Reviewed by E. J. F. Primrose
© Copyright American Mathematical Society 1995, 1997