Calendar: 1859-1860 Page 454

APPLIED SCIENCES 455 VIII eonutrical JBrafotng line Β is 75 inches long determine by construction two lines CD so that Α Β Β CD CD2 Ε so that EF EF Α Β AB Construct square an equilateral triangle and regular pentagon each of 25 square inches area Construct triangle ABC having its perimeter equal 12 inches and 52 Β 64 Cut off equal segments of 75 inches length on the cir- cumferences of two circles of and inches radii Describe circle of 25 inches radius and draw 18 radii containing equal angles Draw scale of to show feet and inches diagonally Draw scale of Jg to show mile furlongs and poles Divide an inch into 63 parts by "diagonal division Draw six circles having common tangent the radii being equi-difTerent those of the greatest and least circles being and inches Two lines AC ΒC each inches long contain an angle at of 120 determine two points such that Ε Β shall be on the circumference of circle without finding the centre of that circle -The principles on which the constructions are made to be distinctly shown and no calculation admissible except in Question 10 Snow three lines each perpendicular to the plane containing the other two one line being inclined at 30 another at 45 to the horizontal plane 11 Show three planes mutually perpendicular one being inclined at 50 another at 65 12 square of inches edge has two of its sides inclined at 25 and 50 Draw its plan 13 Draw the plan of the cube of which the above square is one face