## A math problem

Here's a fun little math problem I came up with a while back. I
recently posed it to some other people and was interested to find that
they solved it in completely different ways from me.

On a 2-D coordinate system, draw a line from (n,0) to (0,1-n), for all values of
n ranging from 0 to 1. You end up with a solid shape with two straight edges
and one curved edge. What is the equation describing the curved edge?
(The solution should be of the form y = f(x), for x ranging from 0 to 1.)

Here's the solution, but please try to
figure it out yourself first. It's a fun problem.
Mail me your solution if you
found yet another technique!

*Last updated 26 October 1998*

Go back to Dan's home page