
Jordan's Inequality
Jordan's inequality states that for 
Consider a unit circle, OA = 1 with a point P on the circle.
Construct a perpendicular from P to the horizontal line with M being the
foot of the perpendicular and Q its reflection. Let x be the measure of
the angle POM. The line PM has length sin x.
Construct a circle of radius MP and center at M.
Prove Jordan's Inequality.
Details.
Return to EMAT 6600
Page.
Reference: Yuefeng, Feng. (1996) Proof without words. Mathematics
Magazine. 69, p. 126.