Projection of Points

In first angle projection, the projection of a point involves projecting the point onto the principal planes (front, top, and side) of projection. 

This method is used to create a 2D representation of a 3D point by showing its location relative to these planes. 

Position of the Point:

Assume a point P(x,y,z)P(x, y, z) P(x,y,z) is located in three-dimensional space.

Projection Planes:

• Front View Plane (Vertical Plane): This is the plane where you see the point's projection along the vertical plane.

• Top View Plane (Horizontal Plane): This plane shows the point's projection when viewed from above.

• Side View Plane (Profile Plane): This plane provides the point's projection from the side view.

Projection Process:

• Front View (Elevation): The projection of the point on the front view plane will have coordinates (x,z)(x, z)(x,z). 

The yyy-coordinate is not visible in this view.

• Top View (Plan): The projection of the point on the top view plane will have coordinates (x,y)(x, y)(x,y). 

The zzz-coordinate is not visible in this view.

• Side View (Profile): The projection of the point on the side view plane will have coordinates (y,z)(y, z)(y,z). 

The xxx-coordinate is not visible in this view.

Arrangement of Views:

• Front View: The point is shown with its xxx and zzz coordinates, placed on the vertical plane.

• Top View: The point is shown with its xxx and yyy coordinates, placed below the front view.

• Side View: The point is shown with its yyy and zzz coordinates, placed to the right of the front view.