New Principles of Gardening. 2 
Practice. From @ draw az at pleafure, and longer than 
dc. Ona, with the Interval dc, delcribe the Arch ef; then 
fhall the Line fa, be equal to ed; becaufe fa is equal to (ae 
and) cd. 9, £.D 
PROBLEM IV. 
O.make an Angle (abc) equal to an Angle givei, Fig... 
(def.) 
Derinition 1. An Angle (called in Latin Angulus) is the 
Corner (d,) that is made by the Méeting of Lines, as fd, and de, 
6c. which Angle is greater or lefs, according as the Lines lean 
nearer, or ftand further off from one another: So the Lines id 
and ed make an Angle leffer than the Lines ed and fd, and 
the Lines bd and ed greater than edand fd, which is called 
their Inclination.. Therefore, when feveral Lines havethe fame 
Inclination, they make equal Angles. _ 
DerrntTion II. Angles are either right-lined, as 2; {fpherical 
or curved, as 4, or mix’d, as4 When an Angle is mentioned 
by three Letters, the fecond or middlemoft Letter always de- 
notes the Angle or Angular Point: So @ denotes the Angle 
bac, or cab, &e. : 
Practice. Make ac equal todf With any Interval, as 
df ond defcribe fe, and on a, with the fame Opening the 
Arch ¢4, make cd equal to fe, and draw a6: So fhall the 
Angle aéc be equal to the given Angle def, becaufe the Tri- 
angle abc is equal-fided to the Triangle de f- F, 
PROBLEM VV. 
O divide an Angle given (a) into two equal Parts. Fig. V. 
Practice. On 4, with any Iterval, defcribe the Arch 2¢, 
and with the fame Opening on 4 the Arch ff, and on ¢ the 
Arch ee, croffing in d: Join dé and de, and draw da, which fhall 
divide the Angle 2 in two equal Parts. For the Triangles 4 a 
: B2 te an 
