id: 05986098
dt: j
an: 2011f.00485
au: Percy, Andrew; Carr, Alistair
ti: One coincidence after another.
so: Math. Spectr. 44, No. 1, 5-7 (2011).
py: 2011
pu: Applied Probability Trust (APT) c/o University of Sheffield, School of
Mathematics and Statistics (SoMaS), Sheffield
la: EN
cc: G40
ut: Pythagoreen theorem; plane geometry; triangle geometry
ci:
li:
ab: Imagine “Euclid’s windmill", i.e. triangle ABC with right angle at A
and squares AGFB, CKHA (and BDEC). Altitude at A in triangle ABC, lines
CF and BK intersect in a point. It is proved that this is also true in
a situation where triangle ABC is not rightangled.
rv: Gerd Walther (Kiel)