关于毕达哥拉斯定理证明的论文(14)

大学选修课论文有这个的参考下吧

Justice: 1. Equal to about the same amount of equal to each other

2. Add amount equal, its and equal;

3. Reduced amount equal, the poor are equal 4. Each other can overlap object is congruent 5. The whole is greater than the partially.

Axiom: 1. A can only be made two and a straight line;

2. The line (limited linear) can be infinite extension;

3. As a little to the right to, any long for radius, can make a circle; 4. All right Angle are equal;

5. With plane within a straight line and another two straight line intersection, if in line with the side of the sum of the two an internal Angle is less than 180 °, then these two straight lines after the infinite extension in the side must intersect.

Drawing the proof:

1. In a given limited on a straight line equilateral triangle

Set AB is known straight line

With A to the right, to draw circles AB distance With B to the right, to draw circles AB distance Two round) to A C, B to attachment of CA, CB ∵ AC = AB BC = BA

∴ CA = CB = AB

∴ enables delta ABC is an equilateral triangle