Textbook of Engineering Drawing, Second Edition

_____ Geometrical Contructions 4.27

Problem : A stone is thrown from a building of 7 m high and at its highest flight it just

crosses a plam tree 14 m high. Trace the path of the stone, if the distance between the
building and the tree measured along the ground is 3.5 m.

Construction (Fig.4.40)

F.^0 E

l'

r--E 2'

3'

B

G~-~--~----L~~- H

6'

Fig. 4.40

1. Draw lines AB and OT, representing the building and plam tree respectively, 3.5 m apart
   and above the ground level.


2. Locate C and D on the horizontal line through B such that CD=BC=3.5 and complete the
   rectangle BDEF.


3. Inscribe the parabola in the rectangle BDEF, by rectangular method.


4. Draw the path of the stone till it reaches the ground (H) extending the principle of rectangle
   method.

4.3 Special Curves

Cycloidal Curves

Cycloidal curves are generated by a fixed point in the circumference of a circle when it rolls

without slipping along a fixed straight line or circular path. The rolling circle is called the generating

circle, the fixed straight line, the directing line and the fixed circle, the directing circle.