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CHAPTER VI. 



CHESS-BOARD RECREATIONS. 



A chess-board and chess-men lend themselves to recreations 

 many of which are geometrical. The problems are, however, of 

 a distinct type, and sufficiently numerous to deserve a chapter 

 to themselves. A few problems which might be included in 

 this chapter have been already considered in chapter iv. 



The ordinary chess-board consists of 64 small squares, known 

 as cells, arranged as shown below in 8 rows and 8 columns. 

 Usually the cells are coloured alternately white and black, or 

 white and red. The cells may be defined by the numbers 11, 

 12, &c, where the first digit denotes the number of the column, 



and the second digit the number of the row — the two digits 

 representing respectively the abscissa and ordinate of the mid- 

 points of the cells. I use this notation in the following pages. 

 A generalized board consists of v? cells arranged in n rows and 



