Calendar: 1890-1891 Page 779

ENGINEERING DEPARTMENT cxvii Draw line AB 63 long and another AC in the pro- portion of to 10 Construct parallelogram having these two lines as two of its sides and an included angle of 52 Construct square having area half as large again as the parallelogram Two scales one is 18 miles to the inch the other is 18 inches to the mile What is in each case the repre- sentative fraction The base of pyramid is triangle having sides 275 3δ and 25 long What are the true lengths of the three sloping edges The axis is it rises perpendicularly from the centre of the base circular slab of 88 diameter and thickness is pierced by central opening of 1" diameter The axis is horizontal and inclined from us towards the right at 20 with The nearest point of the slab to the is f" from it and the centre of the slab is 5" from Give form of shadow thrown by slab on the pyramidal roof high and 11' square stands on four pillars each high and 18" square in section There is clear space between these pillars of They stand on plat- form 12 square and high and this is ascended by flights of steps on the centre of each face Each step is long high and 18 wide portion of each step will be visible on each back face as well as the whole flight on each front face Scale Represent the whole isometrically On each side of line AB as base 1£ long construct regular pentagon Convert the irregular eight-sided figure thus formed into square of equal area 10 Draw scale of miles furlongs and diagonally chains furlongs being represented by line J" long Indicate distance on it of miles furs chs 11 segment on your paper is portion of circle of diameter and the chord is 3" long Place in this segment two circles each touching chord and arc the diameter of the one being and of the other 4