Calendar: 1891-1892 Page 817

engineering department CXX1X 10 Either given 71 3' 34 Β 26 53 824258 use the tables to find the other parts of the plane triangle Or else given 32 27 51 Β 102 50 38 28 10 84 use the tables to find the other parts of the spherical triangle 11 Prove that the surface of zone of sphere included between two parallel planes is equal to that of the cylinder with axis perpendicular to the planes that circumscribes the sphere If the arctic circle is 23 28 from the poles and the tropics 23 28' from the equator what fraction of the earth's surface is included in the temperate zones Use tables 12 Prove that there can be only regular polyhedra If regular octahedron and regular tetrahedron have the same volume find the ratio of their edges 13 Prove Simpson's rule for finding the area of figure bounded by curved line Apply the rule to find the area when equidistant ordinates each at distance of one chain from the next are 12 chains 44 links 12 chains 68 links 12 chains 86 links 13 chains 18 links 13 chains 24 links 13 chains links 12 chains 86 links FIRST YEAR Simplify 3J 9rttytttettc 14 Define complex fraction By means of diagram prove that χ Jf 91 £ יי י "י 15 Find correct to two places of decimals 5-8094038 Χ Ό0859103 016 16 Obtain by duodecimals the volume of cube whose edge is yds ft in and express your answer in cubic feet