You will need
• A compass, ruler, pencil
Instruction
1
If you want to split a segment into two or four parts, use a compass. From the cut ends and with a compass draw two arcs of circle of radius R. the radius of the circle make a few more of the half of the segment AB. Bring the arc to a common intersection. Thus you will get points C and D equidistant from the segment AB. Swipe through the points C and D a straight line that intersects segment AB. The point of intersection of this line segment is the required point E, in which the segment AB is divided into two equal parts.
2
To divide a segment into four equal parts, perform the procedure described above in series with each of the resulting two equal segments AE and EB.
3
If you want to split a segment of a straight line on any arbitrary number of equal parts, take a ruler and a compass. For example, the number of pieces must equal 7. From any end of the segment AB (for example, from point A) swipe at an acute angle to a straight line segment of arbitrary length. Received line from point A with a compass put 7 equal segments of any length, marking the ends with numbers from 1 to 7. Point 7, corresponding to the end of the seventh segment, connect point b (the end of the segment AB). From points 1, 2, ..., 6 draw straight lines, parallel lines 7B. These lines will cross the segment AB, dividing it into 7 equal parts. The problem is solved.