58 
until the tenth mark or end of the ninth interval along the measur- 
ing line connects with peg B on the base line. It is geometrically 
true that in every instance where the three sides of a triangle are as 
3, 4, and 5 the angle opposite the hypotenuse or the longest side is 
a right-angled triangle. 
Another method, which may be used as an alternative, consists 
im guessing a triangle and measuring the diagonal distances be- 
tween the opposite corners A, D and E, C on the same ‘figure; unless 
those distances are equal to a fraction of an inch the square is not 
perfect, and by manipulating and shifting the pegs until those two 
lengths coincide the desired lines running at right angles to one 
another can be planned out. 
2° Diagonal planting has few, if any, advantages. As shown 
in Figure 2, the base line is first determined and a true corner found 
as in the case of the square. On the lines thus determined rows of 
trees will be set. The alternate rows are obtained by running with 
a line a diagonal from two squares which have already been mapped 
out. From the corner A, mark off one-fourth distance along this 
diagonal and you have the spot where the first tree along the second 
row will stand; from these points plot out parallel lines to A B, 
A C, ete., and along’ these lines mark off the required distances as 
had already been done on, the base lines. 
Another method to set out diagonal lines: start in the same 
manner as for marking on the square; stretch the planting lines 
and omit every alternate intersection. 
Base tone.» 
Hexagonal or septuple planting. 
