id: 02369483
dt: j
an: 2006e.03035
au: Francis, Richard L.
ti: With compass and straightedge in hand. A constructible unit angle.
so: Consortium, No. 90, 3-7 (2006).
py: 2006
pu: COMAP (Consortium for Mathematics and Its Applications), Bedford, MA
la: EN
cc: G40
ut: angles; angle measurement; constructability of angles
ci:
li:
ab: 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 â€™naturalâ€™ 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.
rv: