- 45

- 2

It tries to show the history of how they were discovered geometrically. So you start off with a rectangle with sides 16, 45 and you take a ratio. My first problem, why would you take a ratio of their sides? Then you flip it, 45/16, my second problem, why flip it? Then you turn it into a mixed number. Then you rewrite 13/16 as 1/(16/13), My third issue with this, why?

It seems to me that you get this "thing" when you follow an algorithm specifically designed to give you that thing, as opposed to it arising naturally, or authentically, stemming from some deeper interpretation.

Its like if I said the number 3 is special because if you start at 4 and 2 on the number line and go inward at the same speed you will hit this number, yes that is factually true, but why would you set up this scenario? Things like squaring and quadratics have a deeper interpretation, it tells you how much your squares area has increased if you increase the length of a side. Is there some other meaning for this?