Calendar: 1885-1886 Page 683

general literature and science 675 12 Prove the formulae tan 2A cot --- tan tan3 sin -f sin sin sin tan c0 What is the difference between rhombus and rectangle Write out the three postulates If the equal sides of an isosceles triangle be produced prove that the angles on the other side of the base are equal If two triangles have two sides of the one equal to two sides of the other each to each and have likewise their bases equal then the angle which is contained by the two sides of the one shall be equal to the angle which is contained by the two sides equal to shem of the other If from the en is of side of triangle there be drawn two straight lines to point within the triangle these shall be less than the other two sides of the triangle but shall contain greater angle Prove that all the interior angles of any rectilineal figure together with four right angles are equal to twice as many right angles as the figure has sides Show how to describe parallelogram which shall he equal to given rectilineal figure and shall have an angle equal to given rectilineal angle If straight line be divided into any two parts prove that the square on the whole line is equal to the squares on the two parts together with twice the rectangle contained by the two parts Show how to find the centre of any given circle Prove that the circumference of circle cannot cut that of another circle in more than two points