PROBLEMS. 

 |>ROBLEM XLVIII. 



419 



Tb male a Square equal to the Difference cf iivQ given 

 Squares P, R. 



On the side A C of t\\Q 

 greater square, as a diapieter, 

 describe a semic'iTcle ; in 

 which apply A B the side of 

 the less square. Join BC, and 

 it will be the side of a square 

 equal to the difFerencc between 

 i^c two P and R, as required. 



PROBLEM XLIX. 



^0 male a Square equal to the sum of any numher cf Squares 

 tahfi together. 



Draw two indefinite lines 

 A my A «, perpendicular to 

 ^ach other at the point A. 

 On one of these set off* AB 

 the side of one of the given 

 squares, and on the other A C 

 the side of another of them. 

 Join BG, and it will be the- 

 side of a square equal to the 

 two together; Then take AD 

 equal to BC, and AE equal to 



.!> li 



the side of the third given square. So shall D E 

 side of a square equal to the sum of the three 

 squares. An^ so on continually, always setting 

 sides of the given squares on the line An, and th 

 of the successive sums on the otliev line A w. 



be the 

 given 

 more 



e sides 



KOTF. 



