## Problem 3.10 Engineering Curves – Construct a parabola by tangent method with the base dimension 140 mm and height 100 mm.

**Procedure:**

**Procedure:**

* Step-1* Draw a horizontal major axis of the length 140 mm and give the notations A & B as shown in the figure. And mark a midpoint C on it.

* Step-2* Draw a vertical axis, perpendicular to the horizontal axis & passing through the point C; of the length equal to the length of minor axis, which is 100 mm and give the notations C & D as shown in the figure. Like in the same way extend the line CD as DE of the length equal to 100 mm, as shown in the figure.

* Step-3* Then connect the point E with the points A & B by straight inclined lines as shown in the figure. And divide these two lines AE & BE in to 10 equal divisions. Now give the notations on these points as 1,2,3 etc. but in opposite manner as shown in the figure.

* Step-5* Connect these points 1-1, 2-2, 3-3 etc. by straight lines as shown in the figure.

* Step-6* Draw a smooth free hand medium dark curve starting from the point A and intersecting the lines 1-1, 2-2, 3-3 etc. by tangent and ending at the point B as shown in the figure. This is the required parabola.

* Step-7* Give the dimensions by any one method of dimensions and give the name of the components by leader lines wherever necessary.