Saturday, October 28, 2006

Numero Uno



"I don't like losing."

"Then don't take part."

"But I like winning."



I never have sequels to blog posts with "#1"s in their titles. That's because sequels are invariably doomed to the sideline, relegated to the shadows of their originals. First love is sweetest ; The first cut is the deepest. Even memory works on primacy and recency - You're either first or last. If you're not The Winner, you're a loser. The nomenclature "runner-up" or "second" is an excruciatingly vexing reminder of one's fallibility in being contingency to "first". The fact that one has the advantage over everyone else is insignificant and inconsequential.

I've never enjoyed being second place in anything.

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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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