to construction an angle equal to the given angle?
Answers
Draw the line 0 C about 2 inches long and the line 0 A of about the same length. The angleformed by these lines may be any convenient size - about 45 degrees is suitable. This angle A O C is the given angle.
Now draw F G, a horizontal line about 2 1/4 inches long, and let F, the left-hand extremity, be the vertex of the angle to be constructed with 0 as a center and any convenient radius - about 1 1/2 inches - describe the arc L M cutting both O A and 0 C. With F as a center and the same radius draw the indefinite arc 0 Q. Now set the compass so that the distance between the pencil and the needle point is equal to the chord L M. With Q as a center and a radius equal to L M draw an arc cutting the arc 0 Q at P. Through F and P draw the straight line F E. The angle E F G is the required angle since it is equal to A 0 C.
ProofSince the chords of the arcs L M and P Q are equal, the arcs are equal. The angles are equal because with equal radii equal arcs are intercepted by equal angles.
But one is that first have draw base line then other step of making angle