How can you divide an angle into 3 equal angles? You may only use a straightedge and a compass to achieve this.

(This means : You have an angle A, you divide Angle A into 3 Angles B,C,D. And B=C=D=A/3)

Note: vohonam clarified that the problem actually only gives you a straightedge, not a ruler.

(In reply to re(8): The next problem after this... by Nick Reed)

1782^12 + 1841^12 = 1922^12

And just for the heck of it, here's a really quick way of disproving the equation above:

1782^12 is even
1841^12 is odd

the sum of an even and an odd number must be odd.

but 1922^12 is even

so the equation is false.

Posted by Happy on 2002-06-21 04:30:02