Calendar: 1887-1888 Page 684

688 APPLIED SCIENCES giving line of penetration and also give envelope of prism showing the forms of the openings made by the piercing of the prism by the cylinder right pyramid base pentagonal of 2" side and 4" high is placed so that its base is inclined at 55 to the and the side of the base nearest is parallel to it and at angle of 45 with it Give the necessary plans and elevations Draw horizontal line through the centre of the axis in the elevation and in plan give the resulting form of section cone axis vertical '6 high and diameter 345 one- trates sphere of 386 diameter The centre of the sphere is in the same horizontal line as the centre of the axis of the cone This line makes an angle of 60 with and the two centres are 25 apart Give all lines of penetration whether visible or not Draw two circles of '75 and 125 radii touching each other and third of 225 radius touching them both and containing them within it trench is wide and Γ6 deep its width being repre- sented on your paper by line Γ85" long Draw scale and trench Re-draw the figure to scale of fe 10 Draw two parallel lines AB and CD 339 apart and 5-62" long Find point Έ 293 from and 4" from Draw circle passing through this point and touching the two given lines Within the circle place second concentric and having an area that of the first FIRST YEAR Construct scale of 2h" to the yard to show yards feet and diagonally inches Mark off on the scale distances of yard inches and yards feet inches Draw regular octagon having perimeter of 14 and place in it four equal circles Each circle is touched by two others and by two sides of the octagon