Calendar: 1856-1857 Page 414

THE SCHOOL 41S FIRST CLASS MATHEMATICAL SCHOLARSHIP £u Ifa airtl Crtgonotnttrg II -aigrtra The questions upon these subjects were the same as those set for the Junior Mathematical Scholarship in the Department of General Literature and Science SECOND CLASS MATHEMATICAL SCHOLARSHIP -euciai 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 Prove that the lines AL BK CF pass through the same point To divide given straight line into two parts so that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part Divide straight line into two parts so that the squares of the whole line and of one of the parts three times the square of the other part δ ABCD is parallelogram draw DFG meeting BC'm and Ν Β produced in join AF and CG then will the triangles ABF CFG be equal to one another The rectangle contained by the diagonals of quadrilateral figure inscribed in circle is equal to both the rectangles con- tained by its opposite sides Make an equilateral triangle equal to given triangle Upon given straight line to describe segment of circle which shall contain an angle equal to given rectilineal angle