1.Use Gauss Theorem to prove that an angle of 20 degree is not contructible.

2.Use Gauss Theorem to decide whether or not an angle of 6 degree is constructible.

Thanks very much guys..... :)

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- Apr 10th 2006, 08:52 PMsuedenationAlgebra
1.Use Gauss Theorem to prove that an angle of 20 degree is not contructible.

2.Use Gauss Theorem to decide whether or not an angle of 6 degree is constructible.

Thanks very much guys..... :) - Apr 21st 2006, 04:57 AMCaptainBlackQuote:

Originally Posted by**suedenation**

where and are distinct Fermat primes (note can be ).

If an angle of degrees were constructible so would a sided

polygon.

The first three Fermat primes are , clearly and

do not divide , so for the to be constructible

would have to be a power of , or (as it is ) would

have to be a power of . They are not so the is not

constructible and so an angle of 20 degrees is not constructible.

RonL - Apr 21st 2006, 05:02 AMCaptainBlackQuote:

Originally Posted by**suedenation**

the sided polygon is constructible.

so the is constructible and so the degree

angle is constructible.

RonL