ON LANDSCAPE GARDENING. 



15 



(3) To trace on the ground an angle or triangle (Fig. 11): 

 A line (AB), in this case 20ft. long, is measured. Then a 

 garden line, 20ft. long, is fastened at A, and another, 8ft. long, 

 at B. Both free ends are joined together, and the point 

 C is found, giving the apex of the triangle. When the tri- 

 angle is to be equilateral, it can be traced by Example No. 1, 

 used to find the perpendicular, or by this method with lines 

 of equal length. 



(4) To trace with the garden line a rectangle (Fig. 12) : At 

 B in the line AB, 20ft. long, for instance, a perpendicular (BC), 

 8ft. long, is traced. Another line, 20ft. 

 long, is fastened at the peg at C, and 

 a third one, of 8ft., at the peg at A, 

 both ends being joined in D. 



(5) To trace with a garden line a 

 regular polygon : Say Fig. ' 1 3, repre- 

 senting a pentagon, ABECD, is to be 

 reproduced. The line AB and the line 

 AC are measured ; with these measures 

 the triangle (ABC) may be traced by 

 Example No. 2 (Fig. n). Two lines, 



equal in length to AB, are fastened by one end in A and in C, 

 and by joining the other ends together the point D is found, 

 while, proceeding similarly on the other side, the point E is found. 



(6) To trace with a garden line a circle or an arc of a 

 circle : A peg is placed in the centre, and the noose of a 

 string, equal to the radius (the half of the diameter), is passed 

 over it, the tracing being done by moving round with a stick 

 fixed at the other end of the tightened string. 



Fig. 13. — Tracing a 

 Regular Polygon. 



Fig. 14. — Tracing an Ellipse. 

 (First Method.) 



Fig. 



15. — Tracing an Ellipse. 

 (Second Method.) 



(7) To trace an ellipse, of which only the major axis is known 

 (Fig. 14) : The line AB is divided into three eaual parts at E 



