The General Parametric Equation of Pythagoras Theorem and The General Connectedness Theorem

Cengiz Şener
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Abstract

In this article, the Quarter Squares Rule is used to prove that it also satisfies the Pythagoras Theorem. Using this proof, it will be shown that there are parametric equations among sides and the radius of inner circle of a right triangle. Thus, it is proved that a quadratic equation which has some definite properties is connected with a right triangle. After that, firstly, utilizing this connection, it will be reached the general parametric equation of The Pythagoras Theorem. Secondly, it is going to be identified the general connectedness theorem. Further, it is going to be given relation between golden ratio and Earth’s axial tilt angle as an interesting example.
勾股定理的一般参数方程和一般连通性定理
本文利用四等分法则证明它也满足勾股定理。通过这个证明,可以看出直角三角形的边和内切圆半径之间存在参数方程。因此,可以证明具有某些确定性质的一元二次方程与直角三角形是相通的。之后,首先,利用这种联系,将得出勾股定理的一般参数方程。其次,确定一般连通性定理。此外,还将举一个有趣的例子,说明黄金分割率与地球轴倾角之间的关系。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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