Calendar: 1860-1861 Page 478

GENERAL LITERATURE AND SCIENCE 479 The specific gravities of gold and silver are 19 and 10 An article composed of gold and silver weighs 979 ozs in vacuo and 890 in water compare the quantities of gold and silver Find the centre of pressure of any plane surface Ex An isosceles triangle vertex 10we3t Explain the construction of Bramah's press clock pendulum loses 5" day determine the alteration which must be made in its length 10 person travelling eastward at the rate of miles an hour observes that the wind seems to blow from the north ou doubling his speed the wind appears to blow from the north- east Determine the direction and velocity of the wind 11 If the acceleration be measured by 20 when foot and second are the units what will be its measure when yard and minute are the units 12 Find the equation to the path of projectile and the velocity at any point Two balls are projected at the same instant with equal velocities but different angles of elevation find their distance at the end of given time III -Stffmnttal airtl integral Calculus Expand cos χ to four terms and show that x2 x3 x1 log sin χ χ &c Find values of χ which make maximum when χ xe sin χ sin Inscribe the greatest rectangle in an ellipse י tan Find the value of -- when χ cos χ cos χ log sin γ and of when χ Κ -ר