To construct the angle formed by a right line and by a plane given in position in space.

Problems relating to tangent planes.

To draw a plane tangent to a cylindrical surface or to a conical surface, 1o through a point taken on the surface; 2o through a point taken out of the surface; 3o parallel to a given right line.

Through a point taken on a surface of revolution, whose meridian is known, to pass a plane tangent to that surface.

Problems relating to the inter of surfaces.

To construct the made, on the surface of a right and vertical cylinder, by a plane perpendicular to one of the planes of projection.—To draw the tangent to the curve of inter.—To make the development of the cylindrical surface, and to refer to it the curve of inter, and also the tangent.

To construct the inter of a right cone by a plane perpendicular to one of the planes of projection. Development and tangent.

To construct the right of an oblique cylinder.—To draw the tangent to the curve of inter. To make the development of the cylindrical surface, and to refer to it the curve which served as its base, and also its tangents.

To construct the inter of a surface of revolution by a plane, and the tangents to the curve of inter.—To resolve this question, when the generating line is a right line which does not meet the axis.