Proving Theorems And Reading

Oct 14, 2011 in , ,

I started learning Geometry a while ago, and the more I go on, the more it reminds me of my friend, Craig. It's really quite amusing, and since he did tell me some stuff a while ago that resembles it, it sort of helps. I'm learning how to prove theorems now, which is really very, very much like something Craig was doing a while ago, except it was a subject other than Geometry.

Fun fact: The contrapositive of "If David Archuleta is in the air (which he is now), then he is on his way to Japan (eeek!)" is "If David Archuleta is not on his way to Japan, then he is not in the air."

Though he probably already is in Japan (eeek!) by now, which means that he is in Asia. Right now, I am trying to refrain from using caps lock, so don't think I'm not excited, because I am. Very, very excited, because he is, as per quote from The Day After Tomorrow, "getting closer now, closer now. I can hardly wait…" But I don't want to flood everyone with caps lock haha.

Back to Geometry. The proof that triangles cannot have two right angles is this: A triangle cannot have two right angles. Suppose a triangle had two right angles. Then the sum of those two angles would exceed 180 degrees, which goes against the rule that the sum of the degrees of all angles in a triangle is 180 degrees. This is a contradiction, which proves that the statement that a triangle cannot have two right angles is true.

Okay, let's take a break from that now. After I finishing Tiger, Tiger, by Lynne Reid Banks (I later found out she's also the author of Howl's Moving Castle, which was quite good, I've been reading House Rules, by the very talented Jodi Picoult. I must say that I really admire her dedication in researching the subjects she writes about. If you read her acknowledgements in the beginning of the book, you'll understand what I mean. She makes sure that her facts are right, and as far as I can tell, writes very well from the point of view of Jacob, who has Asperger's. She allows us to step into the mind of a person with Asperger's for a little while, helping us understand them better. I haven't finished reading it yet, but I think I can safely say that this is a good book.