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

Eldred John Brooksmith
1901

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### Contenido

 Sección 1 1 Sección 2 17 Sección 3 33 Sección 4 47 Sección 5 61 Sección 6 77 Sección 7 93 Sección 8 109
 Sección 12 173 Sección 13 189 Sección 14 221 Sección 15 253 Sección 16 269 Sección 17 301 Sección 18 321 Sección 19 325

 Sección 9 125 Sección 10 141 Sección 11 157
 Sección 20 333 Sección 21 337

### Pasajes populares

Página 35 - 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.
Página 62 - 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.
Página 48 - 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.
Página 245 - 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.
Página 125 - IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another...
Página 205 - 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.
Página 190 - 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.
Página 18 - ... 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...
Página 287 - If two triangles have two sides of the one equal to two sides of the other...
Página 189 - 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.