Projections Of Straight Lines

Posted on admin

Step-3 From the points p & q2 draw two projectors in down ward direction up to the distance equal to 20 mm below x-y. And mark the points as p’ – q1’, as shown in the figure. Then draw a straight line between the point p’ – q1’. Step-4 From the point p’, draw a line of length 80 mm and at an angle 55°from the line p’ – q1’. And give the notation at the other end as q’. This is elevation of the line PQ. And its inclination with the x-y line is represented by the letter α.

Projection of straight lines pdf Projecting the image of an object to the plane of projection is known as.Hence, the projections of a straight line may be drawn. Different Problems & Solutions on Chapter: Projection of Straight Lines.

A map projection is a systematic transformation of. The central point are represented by straight lines on the map. These projections also have radial.

Step-5 From the point q’, draw a vertical projector up to the line p-q2 and mark the notation as q. This is plan of the line PQ. And its inclination with the x-y line is represented by the letter β.

Straight line projection formula

Step-6 Give the dimensions by any one method of dimensions and give the notations as shown into the figure. And make a list of the True Length & Angles made by the line PQ as shown into the figure.

Projections Of Straight Lines

Line inclined to both Planes. The simplest position a straight line occupies in a space is, it is parallel to both V.P and H.P. The above position resulting in straight line as a top view and front view.

For any other position first assume the given line parallel to both the planes. Then decide the view which will give us the true length of the line and true inclination. Draw locus line in both the points(ends). Rotate this view to the given angle to get the final view.

Project from it to get the other final view (foreshortened view). Then ratate this foreshortened view to the locus of other point(end), to get the final views. For example:. If a line is inclined to H.P, the front view will have the true length and true inclination. Therefore rotate the front view to the given angle (θ -theta) and project this line to get foreshortened top view.

Straight Lines Drawing

Straight line projection method

Straight Lines Geometry

Rotate the foreshortened top view to the locus of other point, to get the final top view. If a line is inclined to V.P, the top view will have the true length and true inclination. Therefore rotate the top view to the given angle ( φ-phi) and project this line to get foreshortened front view. then rotate the foreshortened front view to the locus of other point, to get the final front view.