39^ 



<S£OMETRYc 



PROBLEMS. 



PROBLEM I. 

 To divide a given line A B into two equal parts 



From the centres A and B, with 

 any radius greater than half A B, 

 describe arcs, cutting each other 

 in m and n. Draw the line m c «, 

 and it will cut the given line into 

 two equal parts in the middle 

 point C. 



PROBLEM II. 



'11 '■•• 



To divide a given Angle ABC itito tvjo equal part::. 



From the centre B, with any radius, dc- 

 icribe the arc A C. From A and C, with 

 one and the same radius, describe arcs, in- >- 

 tersecting in m. Draw the line B w, and / 

 it will bisect the angle, as required. 



Note. By this operation the arc A C is bisected ; and 

 in a similar manner may any given arc of a circle be 

 bisected. 



PROBLEM 



