at N. The triangle D'MN (See Fig. 2) is a right angle. Fix point A' 

 (Fig. 1) by continuing line D' N to a point 14 feet from fence line AB. Place 

 a guide stake behind point A', along fence line AB. 



In the same manner, make a right angle at point A' and fix line A 'B'. 

 Then make a right angle at C" and fix point B'. 



Next place guide stakes at E, E r , F, and F' (Fig. 1). Their exact position 

 on the line is immaterial so long as they are exactly on the line. Guide stakes 

 are used only in sightyig. 



Finally, set all the tree stakes, beginning at point D'. Since all corners 

 of the square are fixed, the setting of the tree stakes is merely a matter of 

 accurate measuring and sighting. 



B. HEXAGONAL METHOD 



See Bailey's "Principles of Fruit-Growing," page 265. 



/\ ,A A / 



v v 





The problem is to lay off a square acre according to the hexagonal system 

 with the trees 30 feet apart each way. First fix the base line, following the 

 plan used in Exercise A, and set the stake for the first tree, 14 feet from the 

 fence line, on this base line. Tie a ring on each end of a 30-foot string or wire 

 and measuring with this apparatus set tree stakes along the base line at 

 intervals of 30 feet. 



Next, using the 30-foot string, swing arcs from the tree stakes set on the 

 base line. At the points of intersection of these arcs, as shown by the diagram, 

 set stakes for the second row of trees. Then complete the lay-out of the other 

 rows in the same manner. 



Make drawings showing the exact number of trees to the acre by each 

 method. 



Conclusion: The number of the trees to the acre by the 



square system is The number of trees by the 



hexagonal system is There are % more 



trees by the method. 



112 



