# Woolwich Mathematical Papers for Admission Into the Royal Military Academy: For 1891-1900

Eldred John Brooksmith

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### Contents

 Section 1 1 Section 2 1 Section 3 1 Section 4 1 Section 5 9 Section 6 1 Section 7 1 Section 8 12
 Section 11 1 Section 12 Section 13 1 Section 14 1 Section 15 1 Section 16 1 Section 17 1 Section 18 5

### Popular passages

Page 3 - 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 - 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 2 - 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 3 - If two triangles have two sides of the one equal to two sides of the other...
Page 1 - 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.