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Construction of Pentagon

CONSTRUCTION OF A PENTAGON FROM ONE FIXED DIAGONAL

Establish the diagonal D by connecting the top and bottom of a major price move b,. a straight line This diagonal will be toward the left and top of the pentagon to be constracted (see Figure A6-I).

1. Measure the length of the diagonal D. This diagonal connects two points of the pentagon.

2. With the point of a compass at one end of the diagonal and the tip on the other, draw a long arc to the right; placing the point on the other end of the diagonal, draw another arc to the right. These arcs should not cross to avoid confusion.

3. The length of a side of a regular pentagon is calculated from the diagonal by the formula S=.6I8xD

Using a ruler, set the compass to the length of a side and place the point at one end of the diagonal. Draw an arc on both sides, crossing the arc on the right do the same for the other end of the diagonal. The two new arcs will cross on the left The three new crossings are the missing points of the pentagon.

FIGURE A6-1 Constraction of aentagon from one diagonal.

4. The center of the pentagon can be found by bisecting any two sides. The point at which the two bisecting lines cross is the center. Use this point to circumscribe a circle around the pentagon.

CONSTRUCTION OF A PENTAGON FROM ONE SIDE

Establish the side S by connecting the top and bottom of a major price move with a sfraight line. As in the previous example, this side will be toward the top and left of the pentagon, which will extend down and to the right (see Figure A6-2).

1. Calculate the length of the diagonal D by applying the formula D = S/.6I8. This will require a ruler to determine the length of S.

2. Using a ruler again, set your compass to the length of the diagonal calculated in the first step. Draw wide arcs of radius D from the endpoints of S crossing to the lower right of S. The place of crossing will be the third point of the pentagon P„ opposite side S

3. Set the compass back to length S and place the point at P, Cross the inner arcs drawn in step 2 with a small arc



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