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Monday, November 28, 2005

Scribe of Thales

Hey guys, I guess it's my turn to put another chapter into our "textbook" so I decided to begin with Thales of Miletus.Now, by looking at this picture, you can probably tell he was, as Mr. K. would say, "A very miserable human being". Apparently, he tricked his best friend by saying his son was dead just to show him why he wouldn't have a family. As well, he made a farmer put sponges on a donkey's back to make it carry more weight. Actually they are all very smart ways of looking at things and proves an intellegent point, but he has cruel methods. But the 'Father of Mathematics' was a genius and he found out about the first investigation we corrected in class today, The Inscribed Angle/Diameter Theorm. This states that,"If an inscribed angle is subtended by a diameter, then it is a right angle."
How did Thales come up with this? What was his proof? He must be a genius!
Well, here's the proof.

So as you can see it is quite simple, the angle subtented by the diameter creates two isoceles triangles when the radius is connected to the inscribed angle. This is because the radius of a circle is always the same so the three congruent lines are all radiuses or radii? Anyways, then the two base angles are congruent and since the three angles of a triangle add up to 180 degrees, then a plus b equals 90 degrees.

The second investigation we corrected (#4) was to do with Inscribed and Central angles. It is the Inscribed angle/Central angle theorm and it states that,"If an inscribed angle and a central angle are subtended by the same arc, then the inscribed angle is half of the central angle."

The angle AOC is done to show what it means by "subtended by the same arc."
We haven't learned
the proof yet and Mr. K. has put it up as a challenge to prove this or any of the other investigations so I won't try to tell you.

Also, Mr. K. should be putting up th acrostic list as an alternative for pre-test posting and also I hope everyone's ready to see their test mark because he said he'd have them done by tomorrow.

One last thing before I go eat, I choose

As the next scribe. See Aichelle, I can do it too.



At 11/28/2005 8:15 PM, Blogger AichelleS. said...

wow haha can you say a-ma-ZING? lol that's soooo good lol haha nice banner for Graeme lol...Grrrreat Job haha lol

At 11/28/2005 8:22 PM, Blogger Jamie G. said...

Very good introduction Craig!You've done a great job(Y)


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