Calendar: 1850-1851 Page 373

THE SCHOOL 369 statics Determine the resultant of two parallel forces acting in opposite directions on rigid line Find the centre of gravity of triangular pyramid Find the ratio of Ρ to in the common screw If sphere of given radius be placed upon the top of another sphere Β which is fixed determine when the equilibrium will be stable and when unstable Α Β Β and are five equal uniform rods each weighing lbs jointed together and suspended from Β find the thrusts on and the strains upon and III £uclt If one side of triangle be produced the exterior angle is greater than either of the interior opposite angles If right line be divided into two equal parts and also into two unequal parts the rectangle contained by the unequal parts together with the square of the line between the points of section is equal to the square of half the line In every triangle the square of the side subtending either of the acute angles is less than the squares of the sides con- taining that angle by twice the rectangle contained by either of those sides and the right line intercepted between the perpen- dicular let fall upon it from the opposite angle and the acute angle Equal right lines in circle are equally distant from the centre and those which are equally distant from the centre are equal to each other In circle the angle in semicircle is right angle but the angle in segment greater than semicircle is less than right angle and the angle in segment less than semicircle is greater than right angle To describe an isosceles triangle having each of the angles at the base double of the third angle