People once thought that trying to square a circle was an illnesswhat was the name of the illness?

Answer 1

Morbus Cyclometricus

Answer 2

I had to find this out for a math project in 8th grade ...

It is morbus cyclometricus.

A term coined by Augustus De Morgan (1806-1871), a British mathematician and logician, to describe the efforts of those who tried to "square the circle."

However, De Morgan may have left an unwitting clue about solving this Greek challenge from antiquity by writing: "The moving power of mathematical invention is not reasoning but imagination."

Yet, time and again we learn that categorization of human behavior is often futile - we are complex beings! From this perspective, De Morgan might have written later: "The moving power of mathematical invention is both reasoning and imagination."

"Sanitas cyclometricus" - an example of reasoning and imagination (as well as 2013 coinage to complement morbus cyclometricus):

Inscribe a square within a circle so that two opposite sides are horizontal. Draw a straight line connecting the lower right corner with the upper left corner. Imagine the clockwise rotation* of the leftmost right triangle, keeping the left side length constant, the right side at 135 degrees and the horizontal side at 180 degrees.

The length of the horizontal side always defines the side of a square. And when a certain scalene triangle is created, this side defines the side of the square of the circle, visually proving that only 3 points on a circle are required to draw its square. This geometry may also provide proof that transcendental Pi can be represented by a geometric object!

* The triangle does not actually "rotate": the angle of the left side changes from 90 degrees to 45 degrees (close to 72.597 when the scalene triangle is created). To evaluate the scalene triangle, let the circle's diameter = 2000000 units; length of left side = square root of 2 x 1000000 and length of horizontal side = square root of Pi x 1000000.

Answer 3

it is called doug

... or morbus cyclometricus (coined by Augustus De Morgan, 1806-1871).
Perhaps, sanitas cyclometricus would become the counterpoint coinage.

Answer 4

The so called illness was referred to as Morbus Cyclometricus.

Answer 5

Morbus Cyclometricus

Answer 6

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