#TITLE_ALTERNATIVE#

• Main Author: Wibowo (NIM 101 02 061), Tutur
• Format: Final Project
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/6866
• Institution: Institut Teknologi Bandung

Abstract : <br /> <br /> <br /> <br /> <br /> In the world of mathematics, especially in scope of number theory, we know the exist of equation with form ......(formula)........and....(formula)........which both of those equations are well named as the squares sum equation. With Geometric Dissection we can have a new way of thinking to prove both of those equations above. Geometric Dissection itself is a method to prove the squares sum equation that allows us to cut an object, in this matter of discuse the object is a geometry structures, and then it can be rearranged to form other objects. Every square number can be described as an equal length triangle with the length of its side as the number itself. So that, this proving process can be done by cutting an equal length triangle which ilustrate the biggest number on the right side of the squares sum equation into pieces that can be rearranged to form some equal length triangles that describe the number on the left side of the equation using several cutting techniques. <br /> <br /> <br /> <br /> <br /> This discussion can be divided based on the value of i, which for the equation .......(formula)........ the value of i is restricted until i = 4 and for the equation .......(formula)........the value of i is restricted only until i = 2. For the case i = 2 there are two different equation, firstly is the equation .......(formula)........, the proving process can be divided into two classes, Phytagoras class and Plato class. Secondly is the equation .......(formula)........, the proving process can be divided into two classes, Phytagoras Extended and Plato Extended. Next is for the case i = 3, with the equation .......(formula)........, the proving process can be divided into three classes, Cossali class, Square Sum Plus class, and PP Double class. While for the case i = 4, with the equation .......(formula)........, the proving process is focussed only for one special class. For completing this discussion, proofs are given into every method and the animation program and the model tools from the examples of the proving process is enclosed.