Elements of Plane And Solid Geometry

Cover Elements of Plane And Solid Geometry
Elements of Plane And Solid Geometry
George Albert Wentworth
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It is required to construct a A having the base equal to o, the altitude equal to m, and an Z. At the base equal to C.
Take A B equal to o.
At the point A, draw the indefinite line A R, making the Z BA R = A C.
At the point A, erect a A. A X equal to m.
From X draw XSWtoAB, and meeting the line A R at S.
Draw SB.
Then A A SB is the A required.
Q. E. F.
118 GEOMETRY. BOOK II.
Proposition XXXVI. Problem.
236. Two sides of a triangle and the angle opposite one of them being given 3 to construct th
...e triangle.
Case I.
When the given angle is acute, and the side opposite to it is less than the other given side.
D b/ a2±V A // \ C> N^.
Let c be the longer and a the shorter given side, and /. A the given angle.
It is required to construct a A having two sides equal to a and c respectively, and the /. Opposite a equal to given Z. A. Construct /. DAE equal to the given A A. On AD take A B = c. From B as a centre, with a radius equal to a, describe an arc intersecting the side A E at C and C".
Draw B C and B C".


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