Dissect two given squares (here MZYC and YWOX) into triangles and quadrilaterals and
rearrange the pieces into a square (here UVZW) [Bottema, p. 5], [YiuEGN, p.2].
Notice that the ratio k = QR/ST controls the position of the square UVZW. Hence, modifying
them, we change the dimensions of the squares. The figure repesents also another proof of Pythagora's theorem (see Pythagoras.html ).
![[alogo]](alogo.png){kind=small}
Thabit ibn Qurra dissection
![[0_0]](SquaresDissection_files/SquaresDissection_0_0_0.png)
![[0_1]](SquaresDissection_files/SquaresDissection_0_0_1.png)
![[0_2]](SquaresDissection_files/SquaresDissection_0_0_2.png)
![[1_0]](SquaresDissection_files/SquaresDissection_0_1_0.png)
![[1_1]](SquaresDissection_files/SquaresDissection_0_1_1.png)
![[1_2]](SquaresDissection_files/SquaresDissection_0_1_2.png)