Question

explain this statement

Answer 1

Plato, tutored by Theodorus, questioned why Theodorus stopped at √17. The reason is commonly believed to be that the √17 hypotenuse belongs to the last triangle that does not overlap the figure

Answer 2

The square root spiral only goes up to \(\sqrt{17}\) Why would this be? We need to look at the angle of the triangle, and the growth rate.

Answer 3

okay

Answer 4

Great, so the angle of the triangle is \[\theta = tan^{-1}(1/\sqrt n)\] With me so far?

Answer 5

How many can we do before we exceed 360 degrees or 2pi rads? The answer is 17