Calendar: 1886-1887 Page 684

686 GENERAL LITERATURE AND SCIENCE Extract the square root of 237067609 00196 number of subscribers to charity agree to give eacl as many shillings as there are subscribers If the total sun collected is £1125 determine the number of subscribers Define interest' and ζdiscount and find the difference between them on £100 for one year at per cent If the true discount on bill of £340 lis 8d due in fifteen months is £15 55 at what rate per cent per annum has it been calculated Define right angle an acute-angled triangle square-a gnomon-a sector of circle-similar rectilineal figures-a prism-a regular dodecahedron Give the names of all the regular solids you are acquainted with The angles which one straight line makes with another upon one side of it are either two right angles or together equal to two right angles If straight line CD meets straight line Β in prove that the two straight lines bisecting the angles CD CDB will be at right angles to one another If side of triangle be produced the exterior angle is equal to the two interior and opposite angles and the three interior angles of every triangle are together equal to two right angles State the corollaries to this proposition and determine the angle of regular octagon Divide straight line into two parts so that the rect- angle contained by the whole and one of the parts shall be equal to the square of the other part Determine algebraically the ratio of the larger part to the whole line and account for there being apparently two values of this ratio Equal straight lines in circle are equally distant from the centre and conversely those which are equally distant from the centre are equal to one another Draw through given point Ρ straight line to meet