\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2006e.03035}
\itemau{Francis, Richard L.}
\itemti{With compass and straightedge in hand. A constructible unit angle.}
\itemso{Consortium, No. 90, 3-7 (2006).}
\itemab
The author describes a quest for a reasonable but constructible unit of angle measure. Quite early in the classroom pursuit of Euclidean geometry, students learn how to construct the highly familiar right angle by use of the required tools of straightedge and compass. As a result, there is a 'natural' unit of angle measure, namely, the right angle. However, use of it as the basic unit seems impractical; it is too large! By such an approach, all acute angles would be fractional, a characteristic less than desirable.
\itemrv{~}
\itemcc{G40}
\itemut{angles; angle measurement; constructability of angles}
\itemli{}
\end