Still ancient Greeks considered a circle the most perfect and harmonious of all geometrical figures. In their row the circle is the simplest curve, and its perfection is that all points making it are located at identical distance from its center around which it ""slides in itself"". It is no wonder that ways of creation of a circle began to interest mathematicians still in the ancient time.
It is required to you
- * compasses;
- * paper;
- * sheet of paper in a section;
- * pencil;
- * rope;
- * 2 pegs.
Instruction
1. The simplest and popular from antiquity to this day - creation of a circle by means of the special tool - compasses (Latin ""circulus"" - a circle, a circle). For such construction at first it should be noted the center of future circle - for example, crossing of 2 dash-dotted lines at right angle and to expose a step of compasses, equal to radius of future circle. Further establish a compasses leg in noted center and, turning a leg with a slate pencil around it, carry out a circle.
2. Without compasses it is possible to construct a circle too. For this purpose the pencil and the sheet of paper in a section will be required. Note the beginning of future circle - a point And yes remember a simple algorithm: rub – one, one – one, one – three. For creation of the first quarter of a circle promote from a point And on three cages to the right and on one down and record a point of Century. From a point In - on one cage to the right and one down also note S.I point from a point With - on one cage to the right and three down in a point of D. A quarter of a circle is ready. Now for convenience it is possible to develop a leaf counterclockwise so that the point of D appeared above, and on the same algorithm to complete the remained 3/4 circles.
3. But what to do if we need to construct a circle of the bigger size, than the writing-book leaf and a step of compasses - for example, for a game allows? Then we will need a string of length equal to the radius of a desirable circle, and 2 pegs. Tie pegs to the ends of a rope. Thrust one of them to the earth, and another at the tense rope draw a circle. It is quite possible that also the inventor of a wheel - one of the most ingenious inventions of mankind used to this day one of these ways of creation of a circle.