Calendar: 1877-1878 Page 610

608 ENGINEERING AND APPLIED SCIENCES From any point χ in tlie circumference of circle of 1" radius draw line cutting off segment of the circle which would con- tain an angle of 35 About circle 1'75" diameter describe triangle having angles at its base of 70 and 50 respectively Lines and are 2" l-25' and 25 respectively find line which shall be fourth proportional to the three given lines Lines KL and MN are 8" and 27 respectively con- struct square equal in area to the difference between the squares on KL and MN Show by plan and elevation line 3" long inclined at 45 to both planes of projection The base 2" diam of cone 25 high is inclined at 50 show the solid in plan and elevation and also two diameters of the base one inclined at 35 the other at right angles to the first Plan and elevation of similar cone when the base has the same Inclination but the horizontal trace of the plane containing it makes an angle of 40 with χ pyramid with hexagonal base diagonal 25 axis 3" long and vertical has its apex touching the horizontal plane Show the shadow of the solid cast on the or both when rays are shown both in plan and elevation to be inclined at 40 to xy 10 Show the shadow of sphere on the horizontal plane when the rays diverge from single point which may be taken to be any height at pleasure above the object and any distance from 11 Draw an equilateral triangle abc of side Suppose it to be the plan of triangle of different form being 2ό" Β 1" and 3'75" above the or paper Find the true form of the triangle and the inclination of the plane containing it 12 Three lines meeting in point make with each other angles of 120 125 and 115 Sis one angle of cube of edge complete the plan of the cube