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Is it possible to prove the Lindemann-Weierstrass Theorem without knowledge of the Fundamental Theorem of Algebra? Every proof I've seen usually has the statement (usually implicitly) that an integral polynomial of degree n has n complex roots.
(Sorry I can't speak English as well.) I got a isosceles triangle with the corners ABC. At the side AC is a dot with the name X and at the side BC is a dot with the name Y. The length of AX is the same as BY. Now I must draw two circles, the first goes to the points A, Y and C and the second goes to B, X and C. Now I get another vertex (I hope that vertex is the right name) instead of in the corner C. When I draw now a line between the new vertex and the corner C, I will get a bisection of the angle ACB. Why will I get a bisection?
Mathematics desk | ||
---|---|---|
< February 24 | << Jan | February | Mar >> | February 26 > |
Welcome to the Wikipedia Mathematics Reference Desk Archives |
---|
The page you are currently viewing is an archive page. While you can leave answers for any questions shown below, please ask new questions on one of the current reference desk pages. |
Is it possible to prove the Lindemann-Weierstrass Theorem without knowledge of the Fundamental Theorem of Algebra? Every proof I've seen usually has the statement (usually implicitly) that an integral polynomial of degree n has n complex roots.
(Sorry I can't speak English as well.) I got a isosceles triangle with the corners ABC. At the side AC is a dot with the name X and at the side BC is a dot with the name Y. The length of AX is the same as BY. Now I must draw two circles, the first goes to the points A, Y and C and the second goes to B, X and C. Now I get another vertex (I hope that vertex is the right name) instead of in the corner C. When I draw now a line between the new vertex and the corner C, I will get a bisection of the angle ACB. Why will I get a bisection?