## Military examinations. Mathematical examination papers, set at entrance to the Royal military college, Sandhurst, with answers, by W.F. Austin |

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### Common terms and phrases

acres algebraical quantities altitude base bisected centre chains chords circle is equal circular measure circumference circumscribing circle cosec cubic feet cubic foot cuts the circle Describe a circle digits Eeduce equal angles equiangular pentagon equilateral and equiangular equilateral triangle Extract the square Find the area find the logarithms find the number Find the value formula fraction given circle given log given points given straight line given triangle half the line highest common divisor included angle isosceles triangle least common multiple line be divided magnitudes MATHEMATICS miles number of cubic obtuse angle opposite angle parallelograms prove the rule pyramid quadratic surd radius rectangle contained rectilineal figure recurring decimal regular polygon rhombus right angle segment semicircle sign and magnitude simplest forms sine and cosine Solve the equations square numbers square on half square root tangent touch a given twice the rectangle weighs whole line whole number

### Popular passages

Page 44 - Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius...

Page 24 - 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, is equal to the square of the line which touches it.

Page 36 - The angle in a semicircle is a right angle; the angle in a segment greater than a semicircle is less than a right angle; and the angle in a segment less than a semicircle is greater than a right angle.

Page 12 - Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides.

Page 4 - 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 of the line between the points of section, is equal to the square of half the line.

Page 36 - To divide a given straight line 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 36 - IN a right-angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another.

Page 44 - ... cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight line which bisects the angle.

Page 4 - ... 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...

Page 4 - 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.