## Woolwich Mathematical Papers for Admission Into the Royal Military Academy: For 1894-1903 |

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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ... Royal Military Academy No preview available - 2018 |

### Common terms and phrases

angle of friction ARITHMETIC attached to accuracy axes axis base Binomial Theorem bisects body Calculate cent centimetres centre of gravity centre of mass chord circle co-ordinates coefficient of friction coefficient of restitution conic cubic curve decimal diagram diameter direction directrix distance draw drawn ellipse equal equilateral equilibrium Euclid's expression F1rst Paper feet per second Find the equation Find the value fixed point focus foot forces acting Full marks geometrical given point horizontal plane hyperbola inches inclined plane inscribed intersection latus rectum lbs.-wt line joining locus logarithms MATHEMATICAL EXAMINATION PAPERS measure middle point miles an hour miles per hour moving nearest parabola parallel parallelogram particle passes perpendicular position poundals pounds Prove pulley quadrilateral radius ratio rectangle contained respectively rest right angles Second Paper Show sides smooth string subtends tangent triangle ABC velocity vertex weight yards

### Popular passages

Page 439 - Prove that parallelograms on the same base and between the same parallels are equal in area.

Page 345 - To describe an isosceles triangle, having each of the angles at the base double of the third angle.

Page 34 - 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.

Page 18 - 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 325 - Any two sides of a triangle are together greater than the third side.

Page 299 - 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 33 - IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another...

Page 2 - 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 244 - 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 34 - ... 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...