# Division of a circle

All over the world, a strange division of a circle is taken for 360 degrees. From all points of view, it would be more logical to divide the circle into 2, then 4, then 8, 16, 32, 64, etc. parts. And then you go: first, we divide the circle into 4 parts, then every quarter by 90 degrees. Why at 90? Why not 100 or 120? It turns out that the division of the circle into 360 degrees is based on Babylonian priests. They, observing the the Sun's movement, found that on the day of the equinox, the sun from sunrise to sunset describes a semicircle in the celestial vault, in which the visible diameter of the Sun is laid exactly 180 times. That's why they began to divide each semicircle into 180 parts, and each circle - to 360 degrees! The school protractor reminds that each of his divisions is nothing more than an imprint - a trace of the Sun passing through the sky on the day of the equinox. There is, however, the Egyptian hypothesis of the origin of the division of the circle. The duration of the year for the Egyptians was 360 days. The year was divided into 12 months, and every month for 30 days. And the sun passed through the sky every year through 12 zodiacal constellations. So the Sun was in each of these constellations for 30 days. So, for 1 day the sun passes through the sky a distance of 1 unit of the path. Such units are only 360. And only then this unit of the road was called a degree.

The hero of Jules Verne's novel The Mysterious Island, engineer Cyrus Smith, in order to determine the magnitude of the acute angle formed by the legs of a self-made compass, "measured this angle along a circle divided into three hundred and sixty equal parts, the angle being equal to ten degrees." What for to measure an acute angle it was required to divide the whole circle into parts, when it is enough to consider its quarter, it is not clear, and how it was possible to achieve their equality? Therefore, the division of the circle is a difficult question, which in many problems should be given time.