Thursday, August 25, 2005

Of Belated Birthday Resolutions, or What I Came Up With When You Didn't Turn Up In A Box

Dear Omnipotent Divine Bequeath-er of Happy Birthdays,

I promise to...

1) Be more proliferate in the commodity of blog updates.

2) Be loyal to my lost cause(s).

3) Love myself more less.

4) Depossess my abode of the visually olfactorily acrid prescence of a particularly repugnant pile of festering futility. I mean homework, not me.

5) Manufacture more Zs.

6) Get carnal soon.

7) Cease the prodigal squandering of time on inane blog posts.

8)

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Puzzle of the day from perplexus.info:
Trisecting an angle (Difficulty: 2 of 5)

Trisecting an angle, using only compass and straight edge, was one of the great classical problems of antiquity.

Modern mathematics has proved it impossible, but here is a simple and ingenious mathematical cardboard device that trisects accurately:


If you place it properly, so the edge AB passes through the vertex of the given angle, one side of the angle passes through point C, and the other side tangents the arc MN (arc of the circumference centered at E and radius ED), the lines traced from the vertex through the points D and E trisect exactly the angle.

Prove it.

The device is perfectly drawn to scale, so you can get any information you need about lengths, parallelism, intersections etc...



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