Woolwich Mathematical Papers for Admission Into the Royal Military Academy: For 1891-1900
Eldred John Brooksmith
1901 - Mathematics
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acceleration acting attached to accuracy axis base body cent centre centre of gravity chord circle coefficient common construction contained Define described determine diameter difference direction distance divided Draw drawn ellipse equal equation equilibrium EXAMINATION Explain expression extremities feet feet per second figure Find fixed focus foot forces four friction Full marks geometrical Give given greater greatest half horizontal hour importance inches inclined inscribed intersection joining length less logarithms magnitude mass MATHEMATICS mean measure meet middle point miles moving obtained opposite parabola parallel particle passes perpendicular placed plane position produced projected proof propositions Prove pulley radius ratio rectangle represented respectively rest resultant right angles round sides smooth square straight line string supported taken tangent tension third touch train triangle triangle ABC uniform velocity vertical weight
Page 2 - IF a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line.
Page 2 - In every triangle, the square of the side subtending either of the acute angles is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle.
Page 9 - Prove that the algebraic sum of the moments of two concurrent forces about any point in their plane is equal to the moment of their resultant about the same point.
Page 1 - IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another...
Page 1 - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.
Page 18 - IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square of the line which touches it.
Page 2 - ... the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse...
Page 3 - If two triangles have two sides of the one equal to two sides of the other...
Page 17 - If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole and that part, together with the square on the other part.