Military examinations. Mathematical examination papers, set for entrance to R.M.A., Woolwich, with answers, by W.F. Austin |
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Página 7
... distance from the tower of 300 feet , but stands on a mound so that his eye is 12 feet above the ground on which the tower stands , and in that position , the angles subtended at his eye by the portions of the tower above and below the ...
... distance from the tower of 300 feet , but stands on a mound so that his eye is 12 feet above the ground on which the tower stands , and in that position , the angles subtended at his eye by the portions of the tower above and below the ...
Página 10
... distance from the tower is c feet , the flagstaff subtends the greatest angle at his eye , and he finds that this angle is a ; prove that the height of the flag- staff is 2c tan a . 8. Find the present value of an annuity of £ A per ...
... distance from the tower is c feet , the flagstaff subtends the greatest angle at his eye , and he finds that this angle is a ; prove that the height of the flag- staff is 2c tan a . 8. Find the present value of an annuity of £ A per ...
Página 13
... distances PR and QR is the least possible when PR and QR make equal angles with the radius OR . 12. Find expressions— ( 1 ) For the perpendicular from the pole upon the tangent , ( 2 ) For the radius of curvature , at any point of a ...
... distances PR and QR is the least possible when PR and QR make equal angles with the radius OR . 12. Find expressions— ( 1 ) For the perpendicular from the pole upon the tangent , ( 2 ) For the radius of curvature , at any point of a ...
Página 14
... distances from those points respectively ; if the force from A be repulsive and the force from B attractive , prove ... distance from that end equal to one - third of its length ; find its centre of gravity . 8. Two equal rods AB , BC ...
... distances from those points respectively ; if the force from A be repulsive and the force from B attractive , prove ... distance from that end equal to one - third of its length ; find its centre of gravity . 8. Two equal rods AB , BC ...
Página 25
... distance of any point of the curve from the centre is a mean proportional between the distances of the same point from the foci . PURE MATHEMATICS ( 2 ) . 1. Prove that the ( 25 )
... distance of any point of the curve from the centre is a mean proportional between the distances of the same point from the foci . PURE MATHEMATICS ( 2 ) . 1. Prove that the ( 25 )
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Military Examinations. Mathematical Examination Papers, Set for Entrance to ... Woolwich Roy Military Acad Sin vista previa disponible - 2016 |
Términos y frases comunes
ABCD acceleration ALGEBRA arithmetic axes axis ball base binomial theorem bisected body centre of gravity chord circular measure cone continued fraction cos² curve Define described diameter differential coefficient distance drawn elastic ellipse equiangular equilateral equilibrium Find an expression Find the equation Find the number Find the sum find the value find the velocity forces acting fraction geometrical given straight line harmonic mean horizontal plane hyperbola inclined plane inscribed intersect least common multiple length magnitude middle points number of combinations parabola parallel parallelogram particle pendulum perpendicular positive integer produced pulley PURE MATHEMATICS quadrilateral radius ratio rectangle contained rectangular right angles roots segments sin² sliding smooth solid angle Solve the equation sphere square STATICS string tan-¹ tangent theorem things taken triangle ABC TRIGONOMETRY vertex weight
Pasajes populares
Página 34 - If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle. Let...
Página 146 - If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle ; the angles which this line makes with the line touching the circle, shall be equal to the angles which are in the alternate segments of the circle.
Página 99 - 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 34 - To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part.
Página 82 - 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.
Página 50 - 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 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.
Página 114 - ... 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 18 - If two straight lines cut one another within a circle, the rectangle contained by the segments of one of them, is equal to the rectangle contained by the segments of the other.
Página 130 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.