auliliaryvanishingpoints

Given the end elevation of a book with pages A, B, C, D, E and F open at thirty degrees to each other.

Draw in the elevation of the book bringing construction lines from the end view.

Draw the plan of the open book.

Draw in the picture plane and the spectator point.

Draw in the horizon line and the ground line.

From the station point, draw a line parallel to the side of the book until it strikes the picture plane.

From this point, perpendicular to the picture plane drop a line down to the horizon line to establish the right-hand vanishing point.

Repeat the previous steps to establish the left-hand vanishing point.

Next we have to find the auxiliary vanishing points. As pages F and B are inclined at thirty degrees, draw a line at thirty degrees to the parallel line that establishes VPR.

From the parallel line that establishes VPR, draw a line perpendicular to it where it strikes the picture plane.

Record the distance h and step it off with a compass directly above and below VPR to establish AUX B and AUX F.

We can see that pages E and C are inclined at sixty degrees.

As pages E and C are inclined at sixty degrees, draw a line at sixty degrees to the parallel line that establishes VPR.

Again draw a perpendicular line at the picture plane.

Record the distance k and step it off with a compass directly above and below VPR to establish AUX C and AUX E.

Now we can see four auxiliary vanishing points.

As this corner of the book touches the picture plane it is a true length in perspective.

Connect this corner in perspective to the two vanishing points to establish the front two sides of the book.

Draw lines of sight from the spectator to the two outer corners of the book in plan.

Where these lines of sight cut the picture plane drop vertical lines which will establish the outline of the book in perspective.

Bring lines of sight back to both vanishing points from the outer edges of the book.Join page F in plan back to the

spectator point.

Draw two lines parallel to the picture plane where these lines cut.

Auxiliary vanishing point F is used to draw page F in perspective.

The exact same thing is done for page E. Join page E in plan back to the spectator point.

Again draw two lines parallel to the picture plane where these lines cut.

Like page F, auxiliary vanishingpoint E is used to draw page E in perspective.

Draw in page E.

Page D is drawn simply as it doesn’t need an auxiliary vanishing point.

Pages C and B are drawn using the exact same procedure as pages E and F.