Calendar: 1872-1873 Page 556

APPLIED SCIEIS'CES 557 SECOND YEAR Tlie vertical and horizontal traces of plane are lines inclined at 45 to xy find and write down the inclination of the plane From point Α 1"'5 ahove any part of the vertical trace in the last figure draw line perpendicular to the plane and show plan and elevation of the point in which it meets it Plan and elevation required of rectangular solid 3" in length its ends squares of 1"5 side one diagonal of the solid to be inclined at 45 Draw plan and elevation of right cylinder 2" diameter and show vertical and horizontal traces of aplane passing through it in such manner as to give to the true form of the section major axis of 3"-5 10 right prism 3'5 long stands on one of its ends which is regular pentagon of l"-25 side show the section made by plane inclined at 45 the horizontal trace of which in line making 60c with xy THIRD YEAB 11 cube 2"5 edge has one face inclined at 35 and another at 70 plan and elevation required 12 Draw the plan and elevation of regular tetrahedron when its axis 2" long is in elevation line 2" long inclined at 27 13 Draw square of 3" edge in plan and elevation when the corner is at three times as great distance ahove Β as is below it 14 pyramid axis 3" octagonal base 1" edge lies with one face on the horizontal plane the elevation of its axis is line 1"75 long plan and elevation required in this position 15 line AB 3" long with point 6'in it half-an-inch from either end is the elevation of an equilateral triangle find by construction the length of its side