Problem: A square prism of 40 mm edge of base and 90 mm high rests vertically with its base on HP such that the front right vertical rectangular face is inclined at 60° to VP. This prism is penetrated by another horizontal square prism whose rectangular faces make equal inclination with both HP and VP.  The axis of the horizontal prism is passing at the mid height at a distance of 10 mm infront of the vertical prism.  The horizontal square prism is of the same dimensions as that of the vertical square prism.  Draw the lines of intersection.

A vertical cylinder of 40 mm diameter and 80 mm high is intersected by another cylinder of 35 mm diameter and 80 mm long.  The axis of the penetrating cylinder is inclined at 30° to HP, parallel to VP, 6 mm infront of the vertical cylinder and appears to bisect it in front view.  Draw the intersection curve.