Calendar: 1860-1861 Page 490

APPLIED SCIENCES 491 conutriial Sratotng glanc tomttrg The questions must be solved purely geometrically the con- structions must be neat distinct and accurate and show clearly the principle employed The figures with these restrictions may be left in pencil or put in ink at pleasure Construct scale of to show feet and inches Draw an irregular rectilineal figure ABCDE to scale of miles furlongs and yards 8s 1a showing 20 yards as the lowest reading the angles ABC and BAB being respectively 90 and 115 Also find the area of the figure Β 2240 yards CD 1800 yards BC 800 BE 1520 AE 1240 yards On base 3" describe regular heptagon geometrically Construct regular pentagon of inches area and divide it into five equal areas by lines drawn through one angular point Construct triangle of 7" perimeter its sides being as 75 and an equilateral triangle equal to it Show that the perimeter of the latter is ζ inches Divide line of 75" into two segments such that the squares on them may be as The areas of two ellipses similar to one another are and inches the ratios of their axes are as determine the axes of an ellipse equal to their sum VI -SoltK tomctrg Draw the plan of an hexagonal prism resting on one face and sectional elevation on line passing through one corner of the plan and making an angle of 35 with the end of it Side of hexagon 3" Length of prism 25