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People once thought that trying to square a circle was an illnesswhat was the name of the illness?
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.
What else can I help you with?
Some people became mentally deranged when trying to square the circle What was the illness named?
Some people became mentally deranged when trying to "square the circle". What was this illness named?
What is the name of the illness when people wanted to square a circle?
squarhipotoses
What was the name of the illness that people once thought that trying to square a circle was an illness?
The illness that people once believed was associated with the obsession of squaring the circle was referred to as "quadrature mania." This term reflected the historical fascination and frustration with the mathematical challenge of constructing a square with the same area as a given circle using only a finite number of steps with a compass and straightedge. The impossibility of this task, proven in the 19th century, led to a perception that those fixated on it might be suffering from a form of madness.
What illness do people become mentally deranged when trying to square the circle?
Morbus Cyclometricus
Trying to square a circle was what kind of illness?
the illness was called Marbus Cyclometricus
What is the name of the illness square a circle?
Morbus Cyclometricus
What was the name of illness of square a circle?
Morbus Cyclometricus
Who else Apart from the individual with the mental illness is affected by the illness?
Mental illness affects not only the individual with the illness, but also the individual's family, friends and those in their social circle.
What is the name of the illness that occurs when you try to square a circle?
The flu
What is the only continent the Antarctic Circle passes thought?
The Antarctic Circle does not pass through any continent.
Why is circle stronger than triangle?
I thought it was the other way around...
What is the area in a circle 5 in?
I thought it was 390 degrees but you will have to double check me. :)
