Calendar: 1871-1872 Page 546

546 applied sciences line the elevation of which is inclined at 40 and plan at 35 to xy is the axis 2" in real length of regular tetra- hedron show the plan of the solid 10 Project its shadow on the horizontal plane elevation of rays 40 plan of rays 20 to xy SECOND YEAR DRAW line AB 2"25 long and another BC in the pro- portion to it of to 10 Construct parallelogram having these two lines as two of its sides and an included angle of 53 Draw square 2"-5 side and place in it four equal circles touching each other and the sides of the square In circle of 1"75 radius inscribe regular pentagon Describe circle 1"05 radius and divide it into three parts equal to each other in area and perimeter Draw line 3" long inclined at 27 lying in plane inclined at 30 The elevation of line is inclined at 40 and its plan at 45 to xy determine its true length and inclination triangle with sides 2" 2" 25 and 2"-75 inches is the plan of the base of pyramid The apex the plan of which may be situated anywhere within the triangle is 2" above the base show plan and elevation of the solid and true form of section made by any plane oblique to one or both of the planes of projection Two lines AB and Β 3" and 2" long respectively meet in Β and are drawn in opposite directions from that point AB is inclined at 30 BC at 25 show the height of Β above the hori- zontal plane 10 Both the plan and elevation of the axis of right cylinder 2" diam are lines inclined at 40 to xy and parallel to each other on paper show the sections that would be made if the figu by the co-ordinate planes