Woolwich mathematical papers [aftwerw.] Mathematical papers for admission into the Royal military academy (and the Royal military college, and papers in elementary engineering for naval cadetships).
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acceleration ARITHMETIC Assuming attached to accuracy axis ball base body cent centre centre of gravity chord circle coefficient common condition contained cubic curve decimal Define described determine diameter difference direction distance Divide drawn ellipse equal equation equilibrium EXAMINATION expansion Explain expression extremity feet figure Find Find the value foot forces forces acting four fraction geometrical give given greatest ground half horizontal hour importance inches inclined plane Including inscribed intersect least length logarithms means measure meet miles minutes moving Multiply obtained opposite parallel parallelogram particle passing perpendicular placed plane positive produced projected proportional prove PURE MATHEMATICS radius ratio rectangle represented respectively rest right angles roots Shew sides smooth square straight line string taken tangent theorem third touch triangle uniform velocity vertical weight whole yards
Page 2 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Page 2 - In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle, is greater than the squares of 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 angle. Let ABC be an obtuse-angled triangle, having the obtuse angle...
Page 1 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal...
Page 1 - IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles.
Page 7 - Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius...
Page 1 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Page 2 - 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. Let the straight line AB be divided into any two parts in the point C. Then the squares on AB, BC shall be equal to twice the rectangle AB, BC} together with the square on AC.
Page 2 - If a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.