PROBLEMS. 



411 



PROBLEM XXXIII, 



/«, or ahuty a given Square to describe a Circle* 



Draw the two diagonals of the square, 

 and their intersection o will be the cen- 

 tre of both the circles. Then, with that 

 centre, and the nearest distance to one 

 side for radius, describe the inner circle ; 

 and with the distance to one angle for 

 iradius, describe the outer circle. 



^ PROBLEM XXXIV, 



ItiyOr ahout^a given Circle to describe a Square, or ati Octagon. 



Draw two diameters A B, CD, 

 perpendicular to each other. Then 

 connect their extremities, and they 

 will give the inscribed square A C, ^ 

 B D. Also through their extremi- 

 ties draw tangents parallel to them, 

 and they will form the outer 

 S<juare m n op. ."R 



Note. If any quadrant, as A C, be bisected in ^, 

 it will give one eighth of the circumference, or the side of 

 the octagpn. 



PROBLEM 



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