tide the following computation forms, or algo- 

 rithms, are suggested. While these may not pre- 

 sent the best arrangement, they will at least show 

 the advantage of order over disorder. The reader 

 may be interested in the fact that the writer's stu- 

 dents buy for their computing, letter-size sheets 

 of paper ruled on one side with the special design 

 shown in Fig. 2. By the use of this paper any 

 algorithm may be followed without drawing lines, 

 and columns of digits are kept vertical automat- 

 ically. 



Algorithm 1 is for computing the bearing and 

 length of lines which are terminated by points of 

 known co-ordinates. Column A contains the num- 

 bers of the horizontal lines of the algorithm. Col- 

 umn B contains the symbols. **, y* designate the 

 co-ordinates of the initial point of any line; x n . y n 

 designate the co-ordinates of the final point of the 

 line; kn Is the bearing, and d kn is the length of 

 the line. The lower half of this algorithm has to 

 do with the check equation: 



hypot. = (base 1 + altitude 1 ) 1 /'. 



u-s on line 21 chork those on 



line 12. Of course this check will not detect errors 

 made In entering values of co-ordinates on lines 



When a table of squares is at hand it may well 

 be used in place of logarithms for the computation 

 of checks. Columns C, D, for the line 



Vt PCs, and PC.Pi respectively, the 

 numerical quantities corresponding to the symbols 

 of Column B. It Is suggested that the order of 

 steps in computing be: Mates 



for all the lines concei lines 



5 and 6 the differences; (3) Enter all the logs on 

 line ter all the logs on line 8. and so on; 



every operation In Column C being immediately 

 repeated for the succeeding columns. 



Algorithm '2: Column s is the numbers 



which have been used to designate the curves. In 

 B will be found the degree of each 

 degree of curve Is repeated In par 

 the minutes expressed in decimal of a degre< 

 C are central angles. 



has bee- 1 



M Algorithm xample: C2 (I. e.. 



