Calendar: 1859-1860 Page 439

440 general literature and science which must be placed at the other angular points in order that the whole may balance about the centre of the circle Find the conditions of equilibrium on the Screw If the diameter of the screw be inches the pitch and the length of the arm feet find the gain How are accelerating and moving force respectively measured Prove the formula Μ showing what must be the unit of mass Explain the action which takes place between two imper- fectly elastic balls which impinge directly on one another and investigate the motion after impact Find the range and time of flight of projectile on an inclined plane What must be the direction of projection in order that the range may be the greatest State and prove the conditions of equilibrium for body floating in fluid Explain how the specific gravities of two fluids may be compared by weighing the same solid in each solid body weighs 29 pounds in water and pounds in mercury whose specific gravity is 13 find its true weight Describe the condenser and find the pressure after η strokes 10 Find the form of the free surface of revolving heavy fluid cylinder foot in diameter whose axis is vertical is partly filled with water and made to revolve about its axi8 times in second how high will the water rise against the side II -$roblem An isosceles triangle is inscribed in circle find the ratio of its sides when the chord which bisects the equal sides is trisected in the points where it cuts them If an oblique section be made of right cone find the limits between which the vertical angle must lie when the cone so cut off will not stand with its base on horizontal plane When the vertical angle is between those limits find the least