Calendar: 1853-1854 Page 338

884 GENERAL LITERATURE AND SCIENCE 12 Two unequal circles are placed in the same plane at given distances find the place of an eye from which they may appear to he of the same magnitude 13 Two spheres rest upon two inclined planes and press against each other determine their position 14 Two halls are fired from the same spot with different elevations and velocities and both strike the same mark find the interval between their times of striking the mark III -CI Ivrign of eutuavO IfM The questions upon tins subject are the same as those set for the Senior Classical Scholarship JUNIOR MATHEMATICAL SCHOLARSHIP £11clttJ anil 3Tric$0n01nctr The parallelograms about the diameter of square are also squares If the diagonals of the complements of parallelogram be produced they will meet in the diagonal of the parallelogram Upon given straight line to describe segment of circle which shall contain an angle equal to given rectilineal angle To describe rectilineal figure which shall be similar to one and equal to another given rectilineal figure ό If two straight lines be parallel and one of them is at right angles to plane the other also shall be at right angles to the same plane To inscribe circle in given equilateral and equiangular ם ntagon ind the sum of the lines that can be drawn from each of the angular points of the pentagon to all the other angular points