# Pisagor Teoremi // *Pythagorean Theorem*

*The diagram here is intended to show at a glance why Euclid's proof
of Proposition 47 of Book I of the Elements works. The square
on the right, consisting of red and yellow triangles and a blue
quadrilateral, can be rearranged to form the rectangle on the right.
This is because the square and rectangle are equal to the congruent
parallelograms, lying respectively between the same parallel lines and
on the same bases. These two parallelograms can be made out in the
diagram. (It may be noted that each of the red triangles is equal to a
combination of a yellow and green triangle.) Similarly, the square on
the left is equal to the rectangle on the left. But the two rectangles
compose a square.*

*I have crosshatched the green triangles and dotted the blue
quadrilaterals, in case some people have trouble distinguishing colors.
However, I had trouble converting the dot effect to jpg format and even
to pdf format.*

*In fact I had trouble achieving the effect at all. The psboxfill
macro for pstricks did not work for me as the manual suggested, and so I
had to use a workaround. This gave me the dots.*

*I made the svg file by using online-convert.com. First I tried
inkscape in my own computer: this converted the diagram fine, but not
the text. That there is no background for the svg image is not
intentional.*

*The ps file did not convert properly to pdf; so I just went back and
replaced the dots with lines.*