Calendar: 1853-1854 Page 344

340 AFTLIED SCIENCES VII Conijtnictibc romctru Draw two circles of 15 and inches radii to touch straight line on opposite sides of it and so that the distance between their centres may be inches Draw rectangle the sides of which are in the ratio and equal in area to an equilateral triangle of Γ5 inches side together with square of inches side cube of ό inches side has the plane of one face inclined at 35 and that containing two diagonals of the solid at ύό to the plane of projection draw the solid Three spheres of inches diameter are in contact determine the angle at which the planes touching all three are inclined to that containing their centres The sides and the angle of spherical triangle are 15 30 40 respectively determine by construction the re- maining angles and sides Show from the theory of projection that the area of an ellipse is ir Deduce the equation a'lyi- bix'i 3s a- of an ellipse referred to any conjugate diameters from the theory of projections VIII -dlir&tgtltg ant Ucurllmg An Actual Survey of portion of line of Railway of not less than half mile complete according to Standing Orders The requisite trial and tinal Levels upon Line of not less than three miles JUNIOR SCHOLARSHIP IL-i ttatl cmatt The questions upon this subject were the same as those set for the Junior Mathematical Scholarship in the Department of General Literature and Science