Geometry

[civman2000]

KH is entirely right. The circle proof is circular .

Here's another proof, closer Siro's original line of thought:

WLOG (by switching B and C if necessary), assume ADB is at least a right angle. Draw the perpendicular to AD at D. Since ADB is at least a right angle, this line will intersect AB at some point E. Then AD^2 + DE^2 = AE^2, so AE > AD, and AB > AD since AB >= AE.

[civman2000]

Originally posted by KrazyHorse
The proper definition of inside and outside had to wait for the Jordan Curve Theorem, which was finally proved in 1905, so it hardly forms part of classical geometry

Oh, and to give a better idea of how entirely nontrivial this is, note that Jordan himself gave only a fallacious proof of the theorem (but got credit in the name!), and I think a couple other people also gave incorrect proofs until it was finally done rigorously.

[ahasverus]

The artist in the video is indeed Tommy Seebach and the song "Apache". Apparently the worst video in the world.

[Winston]

I knew I had something to contribute to this debate.

[VetLegion]

I quite like the girls in the video.

[Az]

????????!

[Ramo]

I've been thinking about becoming a Geometrist lately.

Gauss-Bonnet

[Az]

Gauss-type Orbitals

[Ramo]

Chemistry

[Az]

Chemistry >> Physics~Math~recreational enemas.

[Ramo]

Yes, Chemistry is much more annoying than Physics or Math. And if you really feel that those enemas are recreational, you can't be having too bad a time.

[Az]

my god, of all the things one can badmouth chemistry from the sciences, "annoying" is the most bizzare and inappropriate one. Chemistry is excellent - versatile and multifaceted. There is labwork, and it rocks. what more can you ask?

[KrazyHorse]

Originally posted by civman2000

Oh, and to give a better idea of how entirely nontrivial this is, note that Jordan himself gave only a fallacious proof of the theorem (but got credit in the name!), and I think a couple other people also gave incorrect proofs until it was finally done rigorously.

Yeah, the 1905 proof was by somebody else. Jordan provided his in the middle(?) of the 19th century

[Sirotnikov]

what an interesting thread...