Calendar: 1859-1860 Page 455

456 APPLIED SCIENCES 14 Draw the plan of cube of the same size when two of its diagonals are inclined at 25 and 50 15 The axis of an oblique cylinder is inclined at 70 to the plane of its base which is circle of 25 inches radius deter- mine plane not parallel to that of the base which will cut the cylinder in circle and develop the frustrum 16 An oblique cone the axis being inches long has its base and inclination of axis the same as that of the above cylinder determine tangent plane to the surface inclined at 60 State what are the greatest and least inclinations such tangent plane could have 17 Determine four planes tangential to sphere of inches radius the dihedral angles contained by one of the planes and the other three being 40 50 60 and two of those other three being perpendicular to each other -The above constructions may be made by means of two rectangular co-ordinate planes or by means of indices to the plans only of the points and lines But in any case the prin- ciples on which the construction are based must be distinctly shown or stated MIDDLE SCHOLARSHIP -PRACTICAL COURSE -IBnnamtai II -ftpKro tattcii The same papers as were set for the Scientific Course III -fHanufatturing &rt ant jiHacijtnerp Show that power may be gained by combination of toothed wheels and give the illustration which occurs in the double-geared headstock of turning-lathe