Saturday, 17 June 2017

geometry - Flex a square into a circle, and prove...

Let points A, B, C, and D be the vertices on a square. Let ¯CD's midpoint be E. Flex the square into a circle (so they'll have equal perimeter/circumference), and translate the circle so it touches point E (i.e. if ¯CD is the bottom line, then translate the circle up). Prove or disprove whether the points A and B will lie inside the circle or not. Using graphing tools I've determined that points A and B do lie inside the circle, but not by much. Need a nice, simple proof though. Thanks.

No comments:

Post a Comment

real analysis - How to find limhrightarrow0fracsin(ha)h

How to find limh0sin(ha)h without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...