Wew Principles of Gardening. 19 
PROBLEM XIV. 
A O make an Ifeceles and Scalenum Triangle. Fig. 
¥XXIX. 
Practice. (1) Draw 2x equal to v, and with the Inter- 
val w, defcribe Arches crofling in _y; join =y, 9 x, and ’twill 
complete the L/éceles Triangle required. 
(2) Draw 2p equal to /, and with the Intervals #c, on p and 
n defcribe Arches croffing in 0; join #0, and op, and the S¢a- 
lenum Triangle will be completed as required. Q, &. F. 
PROBLEM XV. 
O deferibe a Geometrical Square on a given Line, 
(zx. 
Derini1T1on. A GEOMETRICAL SQUARE, isa Figure which fig. xL, 
hath four equal Sides, and the Angles right, as mmzx. 
Practice. From » erect a Perpendicular xm, equal to 
2x, and on mand 2, with the Interval 2x, defcribe Arches 
croffing at #, joinw 2 and am. 9.£.F. For 2x is equal 
to xm, equal to mn, equal to xz, and m=z is common; there- 
fore the Triangles «mz, and m2, are equai angled; therefore 
the Angle x is equal to the Angle w; but the Angle xm is 
equal to the Angle x2m, and mz equal to wzm, each 
equal to forty five Degrees; therefore m and 2 are right-an- 
gled, and the oppofite Sides are parallel. Q, 2. ‘D. 
NN 
PROBLEM XVI. 
WO deftribe a Parallelogram (zxy n,) equal in Length and 
Breadth, to two given Lines, p, q: | 
-Derinttion. A ParaLtLetocram isa Quadrilateral Figure, po x11, 
whofe oppofite Sides are parallel; from the Words Paralle/ and 
Gramma, a Figure or Letter. | 
D 2 Prac- 
