DIVIDING A SEGMENT INTO EQUAL PARTS

The following steps would be useful to divide a segment into equal parts.

Step 1 : 

Draw a line segment that is about 3 inches long. Label the endpoints A and B. Choose any point C not on AB. Draw AC.

Step 2 : 

Using any length, place the compass point at A and make an arc intersecting AC at D. 

Step 3 : 

Using the same compass setting, make additional arcs on AC. 

Label the points E, F, and G so that

AD  =  DE  =  EF  =  FG

Step 4 : 

Draw GB. Construct a line parallel to GB through D. Continue constructing parallel lines and label the points as shown. 

And also, 

AJ  =  JK  =  KL  =  LB

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