New Principles of Gardening. 21 
DeriniTion. The Word Trapezia feems to come from thee Fig. LIV 
Greek Trapeza, a Table: Tis an irregular Geometrical Figure 
of four unequal Sides, were ncither the Sides nor Angles equal- 
ly correfpond. 
Practice. Draw fg equal tod, andthe Angle fgz (by 
Pros. IY. Sect.I.) equal to ¢, and make gz equal toc; on 
fand 2, with the Intervals 6 and 2, defcribe Arches crofling. 
in 4; join bi, and bf, the Trapezia required. Q. 2. F. 
PRO BLLEM* xe 
O frame or make a regular Pentagon upon a Line given. 
Dermnirion. A PenTacon (Greek, from Pente, five, and Fé *4¥: 
Gonia, an Angle,) is a Geometrical Figure of five Angles, 
and all equilateral, and thereby its Sides are all equal, as the 
Figure ac ode. 
Practice. Divide edin the Middle at », from which 
erect the Perpendicular 7, equal to ed, extend etof, fo 
that ef may be equal to e#; upon the Bafe ed, make the 
Triangle dc e, each Side equal tof; on¢ and d, with the 
Interval ed, defcribe Arches croffing in 4; as alfo with the 
fame Interval on e and c, defcribe Arches crofling in 4; join 
ea,ac, cb, and 6d, and the Pentagon will be compleated as. 
required. Q,E.F. Pentagons may be defcribed by Pros. II. 
hereof. By defcribing a Circle, and dividing its Circumference 
into five equal Parts, (as there fhewn,) and then to draw 
Lines from one Divifion to another, will frame a Pentagon as 
required.. ? 
PROBLEM XxXI. — 
[YO make a regular Hexagon on a Line given, (de.) 
Derinttion. A HEXAGON is a Geometrical Figure, con- 
fifting of fix Angles, from Hex, fix, and Gouzz, an Angle- 
3 | PRACTICE 
