Calendar: 1868-1869 Page 505

APPLIED SCIENCES 507 of the vertex find the proportion between the pressures on the rectangle and on the triangle 13 An alloy is formed of two parts by weight of lead three of tin and five of bismuth and the specific gravities of lead tin and bismuth are 11-35 729 and 982 respectively find the specific gravity of the compound 14 cube floats in distilled water under the pressure of the atmosphere with two-thirds of its volume immersed and with two of its faces horizontal when it is placed under condenser where the pressure is that of 10 atmospheres find tbe alteration in the depth of immersion the specific gravity of air at ordi- nary pressure being 0013 III comttrical ratotnff SECOND YEAR The constructions must be distinct clearly showing the principles on which they are based The sides of triangle are 25 375 inches Bisect this triangle by line parallel to its shortest side la Or by line drawn through point in the shortest side and '5 inch from the corner Construct parallelogram having its sides as and an equilateral triangle each equal to the above-mentioned triangle in area Draw half of an elliptical arch single line will be suffl- cient two sides of the above parallelogram to be the semi- conjugate and transverse diameters sphere 15 inches radius with line inclined at 60 drawn through its centre as diameter in any position shown by plan and elevation Determine by their plans two other diameters of this sphere at right angles to each other and to the first join the extremities of these diameters and complete the elevation of the resulting solid prism the section of which is an equilateral triangle of 25 inches side has its axis inches long in plane inclined