Calendar: 1868-1869 Page 506

508 APPLIED SCIENCES at 40 and is itself inclined at 35s in that plane show plan and elevation llequired its shadow on the paper direction of light at pleasure Determine by its plan and elevation an indefinite line inclined to the paper at 50 and making an angle of 20 with ihe vertical plane of projection plane has its horizontal trace making an angle of 35 with the ground line it is inclined to the paper at 60 deter- mine its vertical trace 10 Two indefinite lines are inclined in opposite directions at 20 and 40 to the paper and the perpendicular distance between them is inches show them by plan and elevation FIRST YEAR The constructions must be distinct clearly showing the principles on which they are based Divide line inches long into two segments which shall bear to each other the proportions of to 13 On the lesser segment describe regular pentagon Reduce this polygon to triangle of equal area Show by its traces plane inclined at 35 and line parallel to it inclined at 25 but at 2'5 inches from it square of 25 inches side has its plane inclined at an angle of 35 to the paper and one of its sides inclined at 25 required its plan Show in plan and elevation cube having this square as one of its faces The axis inches long of cylinder 2-5 diameter is inclined at 30 to the paper required its plan and elevation and the plan of horizontal section made by plane passing through the centre of its axis Determine plane inclined at 60" touching this cylindrical surface