My geometry class last quarter had quite a bit of history in it, focusing mainly on the problems with Euclid's Fifth Axiom.
One of my favorite amusing bits is that Saccheri attempted to construct a rectangle using two right angles as the base and two congruent legs. Now, the line at the top is parallel to the line at the base,(I'm saying this weird, imagine a topless rectangle) are the summit angles obtuse, right, or acute? He disproved the obtuse hypothesis, but try as he might, he could not prove that the summit angles were not acute. In the end, he dismissed the, "inimical acute angle hypothesis," since it was contrary to intuition.
In short: Saccheri found hyperbolic geometry and basically dismissed it for being weird.
Tom Lehrer has the song Lobachevsky in which a mathematician divulges the great secret to math that Lobachevsky taught him:
...Plagiarize,
Let no one else's work evade your eyes,
Remember why the good Lord made your eyes,
So don't shade your eyes,
But plagiarize, plagiarize, plagiarize...
Only be sure always to call it please, "research".
...
Janos Bolyai was a contemporary of Gauss. His father, Farkas, wrote a text on geometry, and Janos had written an appendix about his work in non-Euclidean geometry, specifically, hyperbolic. Farkas sent a copy to Gauss, who responded warmly but basically said, Cool, but I found that too, I just never published it." (Gauss, having already done everything, published rather little since he wanted his published works to be complete. Funny, since I recall hearing at least his first proof of the Fundamental Theorem of Algebra was wrong.) Janos reportedly though Gauss was trying to steal his work.
Gauss later backed Lobachevsky and his work on hyperbolic geometry and it's Lobachevsky who loans his name to the geometry...
As bad as that looks, as I understand it, it does turn out that Bolyai and Lobachevsky
both came up with hyperbolic geometry on their own, around the same time.
Perhaps, Lehrer's song is Bolyai's revenge from beyond....
