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Mr. Kerai's Advanced Geometry and Trigonometry Class
Thursday, February 12, 2009
Homework due 2/13/09
Read Case B of the theorem about angle bisectors on page 217 and understand the proof for it, making sure to read why Case B does not work for when the sides of the triangle are equal. Then do problems 3, 5 and 10 on pages 218-219.
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The School of Athens
Euclid, as imagined by Raphael in this detail from The School of Athens.
Jamshed Al-Kashi
Al-Kashi was one of the greatest mathematicians of the 15th century, calculating the sin(1*) correct to 16 decimal places.
Al-Beruni
The 11th century scientist and philosopher managed to estimate the radius of the earth using a very creative method that employed trigonometry.
Reference Websites
History of Mathematics Archive
Basic Geometry Terms
Mathworld - A Great Mathematical Search Engine
Websites on Pentagon Constructions
The Golden Section - A Property of the Pentagon
Euclid's Construction
Euclid's Construction from Google Books
Alternative Construction and Proof
Proof Relying on the Golden Ratio
Another Consruction Website (Found by Victoria)
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Solution to #12 on Page 234
Homework due 2/17/09
Quiz on Friday, February 20th
Homework due 2/13/09
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Tips for Complex Proofs
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