# [SOLVED] Geometry proof

• Dec 12th 2006, 10:51 PM
tutu
[SOLVED] Geometry proof
I really need help on the following Topics. I missed some classes.

What are Euclid's axioms 1-10 and his Theroms 1, 4-6, 8-13, 15-17, 26-27, 29, 30, 32, and 47.?

The following problems can only be proven with Euclid's axioms 1-10 and his Theroms 1, 4-6, 8-13, 15-17, 26-27, 29, 30, 32, and 47.

1. Two isoseles triangles are congruent if a leg and the angle opposite the base of one are equal to the correspoding parts of the other.

2. Two right triangles are congruent if a side and the hypotenuse of one equal the side and the hypotenuse of the other.

3. If AM is the perpendicular bisector of BC, the (triangle)ABC is isoseles.

4. The medians to the equal sides of an isoseles triangle are equal.
I need a detailed solution

Thanks in advance for any help
• Dec 13th 2006, 01:07 AM
CaptainBlack
Quote:

Originally Posted by tutu
I really need help on the following Topics. I missed some classes.

What are Euclid's axioms 1-10 and his Theroms 1, 4-6, 8-13, 15-17, 26-27, 29, 30, 32, and 47.?

The following problems can only be proven with Euclid's axioms 1-10 and his Theroms 1, 4-6, 8-13, 15-17, 26-27, 29, 30, 32, and 47.

1. Two isoseles triangles are congruent if a leg and the angle opposite the base of one are equal to the correspoding parts of the other.

2. Two right triangles are congruent if a side and the hypotenuse of one equal the side and the hypotenuse of the other.

3. If AM is the perpendicular bisector of BC, the (triangle)ABC is isoseles.

4. The medians to the equal sides of an isoseles triangle are equal.
I need a detailed solution

Thanks in advance for any help

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I understand that this one is quite good.

You can find an online edition of the Elements here

RonL