DIVIDE A LINE IN TO ‘n’ EQUAL PARTS

 DIVIDE A LINE IN TO ‘n’ EQUAL PARTS

Start with a line segment AB that we will divide up into 5(in this case) equal parts.    

            

Step 1  

From  point A, draw a line segment at an angle to the given line, and about the same length. The exact length is not important. 

Step 2  

Set the compass on A, and set its width to a bit less than one fifth of the length of the new line.    

   

Step 3 

Step the compass along the line, marking off 5 arcs. Label the last one C.     

Step 4  

With the compass width set to CB, draw an arc from A just below it.           

 

Step 5  

With the compass width set to AC, draw an arc from B crossing the one drawn in step 4. This intersection is point D.  

 

Step 6 

Draw a line from D to B

 

Step 7 

Using the same compass width as used to step along AC, step the compass from D along DB making 4 new arcs across the line.

Step 8  

Draw lines between the corresponding points along AC and DB.   

Step 9 

The lines divide the given line segment AB in to 5 congruent parts is done.

           

     

           

Composed by:  R.Satheesh, M.E., Asst Prof., email: rsatheeshemail@gmail.com.