Calendar: 1853-1854 Page 339

Gl-NKRAL LITERATURE AND SCIENCE 33S Bisect trapezium by line drawn from one of its angles If two equal circles intersect and if from either point of intersection circle be described cutting them the straight line joining the points where this circle cuts the other two will pass through the other point of intersection 10 From what point of given line will another line given in magnitude and position appear greatest 11 From cubical piece of wood triangular corner is cut oil whose perpendicular edges are show that the area of the triangular section is a2 b2 a2c2 b2 12 Three circles whose radii are touch each other externally show that the tangents at the points meet in point whose distance from any one of them ----- 13 Assuming De Moivre's formula find by it the expansions of sin χ and cos 14 Given the radii of the inscribed and circumscribed circles and the vertical angle of the triangle find the remaining parts 15 If tan ץ find sin and show that a2 sin χ a' sin sin χ &c cos sin sin 10 tower feet high has mark at height feet from the ground find at what distance from the foot of the tower the two parts and will appear to be of the same magnitude to an eye feet above the ground II -2Utjcb1 c1 On what day of the week was June 18 1815 Find the height of rectangular block of marble which contains 059 feet 1248 inches and whose base is 2G feet inches Also show that 444 606