Calendar: 1858-1859 Page 423

GENERAL LITERATURE AND SCIENCE 425 length is double its breadth what would be its greatest possible volurre If tangents parallel to fixed line be drawn to series of con focal ellipses the locus of the points of contact is rectangular hyperbola When the equation x2 xy cy2 -f dx ey represents parabola x2 -b χy cy2 is perfect square Determine the form of the equation to curve of the third order referred to two asymptotes as axes and find the equation to the third asymptote JUNIOR SCHOLARSHIP L- EutlOi Ip two triangles have two sides of the one equal to two sides of the other each to each and have likewise the angles contained by those sides equal to one another they shall like- wise have their bases or third sides equal and the two triangles shall be equal and their other angles shall be equal each to each viz those to which the equal sides are opposite '2 If from the ends of the 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 If two triangles have two angles of the one equal to two angles of the other each to each and one side equal to one side viz either the sides adjacent to the equal angles or the sides opposite to equal angles in each then shall the other sides be equal each to each and also the third angle of the one to the third angle of the other In any right-angled triangle the square which is described upon the side subtending the right angle is equal to the squares described upon the sides which contain the right angle If straight line be divided into any two parts the square