In each case we make the square K the same size and at the same angle, its near corner being at A. It must be seen that by whichever method we work out this perspective, the result is the same, so that both are correct: the great advantage of the first or geometrical system being, that we can place the square at any angle, as it is drawn without reference to vanishing points.
We will, however, work out a few figures by the second method.
[ LXIV]
To Draw a Cube, the Points being Given
As in a previous figure ([124]) we found the various working points of angular perspective, we need now merely transfer them to the horizontal line in this figure, as in this case they will answer our purpose perfectly well.
Fig. 126.
Let A be the nearest angle touching the base. Draw AV1, AV2. From A, raise vertical Ae, the height of the cube. From e draw eV1, eV2, from the other angles raise verticals bf, dh, cg, to meet eV1, eV2, fV2, &c., and the cube is complete.