## Problem 5.1 Projection of Planes – Draw the projection of a circle of 60 mm diameter resting on the H.P. on a point A of the circumference. The Plane is inclined to the HP such that plan of it is an ellipse of minor axis 40 mm. The plan of the diameter through the point A is making an angle of 45˚ with the V.P. Measure the angle of the plane with the H.P.

**Procedure: **

**Procedure:**

* Step-1* Draw a horizontal x-y line of some suitable length.

* Step-2* Draw a circle of radius 30 mm below the x-y line at some suitable distance. It is the plan of the 1

^{st}stage.

* Step-3* Divide the circle into 12 equal divisions, and give the notations.

* Step-4* From the notations given on the circle, draw vertical projectors up to the x-y line, through these projectors, draw a horizontal medium dark line on the line x-y & give the notations. It is the front view of the 1

^{st}stage.

* Step-5* From the top of the 1

^{st}stage, draw horizontal projectors from all the points in right hand side direction. From theses projectors, mark point a & g at the distance equal to 40 mm from each other. From the points a & g, draw vertical projectors on x-y line.

* Step-6* Mark a point a’ on the x-y line on the projector from the point a. With a’ as center and radius equal to 60 mm cut the vertical projector from the point g & mark the point g’. And draw a medium dark line between these points a’ & g’. It is the front view of the 2

^{nd}stage.

* Step-7* Transfer the distance of all the points from the front view of the 1

^{st}stage in to the front view of the 2

^{nd}stage. From the points on the front view of the 2

^{nd}stage, draw vertical downward projectors which will intersect with the horizontal projectors from the top view of the 1

^{st}stage at respective points.

* Step-8* From the respective points of intersections of the above projectors with each other, draw a medium dark smooth free hand curve, which is the top view of the 2

^{nd}stage.

* Step-9* Copy the top view of the 2

^{nd}stage at an angle 45° with the x-y line as show into the figure with the same dimensions. And give all the notations on it. It is the top view of the 3

^{rd}stage.

* Step-10* From the front view of the 2

^{nd}stage, draw horizontal projectors, and from the top view of the 3

^{rd}stage draw vertical projectors in upward direction, which will intersect with the previously drawn projectors at respective points.

* Step-11* From these respective points of intersections, draw a smooth medium dark free hand curve, and give the notations. It is the front view of the 3

^{rd}stage.

* Step-12* Give the dimensions by any one method of dimensions and give the notations as shown into the figure.