Military examinations. Mathematical examination papers, set for entrance to R.M.A., Woolwich, with answers, by W.F. Austin |
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Página 2
... whole and one of the parts may be equal to the square on the other part . 5. The angle at the centre of a circle is double of the angle at the circumference on the same base , that is , on the same arc . A triangle ABC is inscribed in a ...
... whole and one of the parts may be equal to the square on the other part . 5. The angle at the centre of a circle is double of the angle at the circumference on the same base , that is , on the same arc . A triangle ABC is inscribed in a ...
Página 4
... whole numbers , express the result of the division of am by a " ; ( 1 ) when ( m ) is greater than ( n ) ; ( 2 ) when ( m ) is less than ( n ) , and trace the steps in the theory of indices from which it is inferred that a- " 1 that an ...
... whole numbers , express the result of the division of am by a " ; ( 1 ) when ( m ) is greater than ( n ) ; ( 2 ) when ( m ) is less than ( n ) , and trace the steps in the theory of indices from which it is inferred that a- " 1 that an ...
Página 5
... whole time consumed in making the drain is 80 days . In how many days would A or B working alone make the drain ? 11. A cubical tank contains 512 cubic feet of water . It was required to enlarge the tank , the depth remaining the same ...
... whole time consumed in making the drain is 80 days . In how many days would A or B working alone make the drain ? 11. A cubical tank contains 512 cubic feet of water . It was required to enlarge the tank , the depth remaining the same ...
Página 18
... whole line thus produced , and the part produced , together with the square on half the line bisected is equal to the square on the straight line which is made up of the half and the part produced . 5. The angle at the centre of a ...
... whole line thus produced , and the part produced , together with the square on half the line bisected is equal to the square on the straight line which is made up of the half and the part produced . 5. The angle at the centre of a ...
Página 20
... whole number , prove that ( x + y ) is divisible by 1 my , when ( m ) is odd . Write down the three last terms of the quotient of ( x + y ) 1 1 divided by ( 2 + 1 + y + 1 ) , and examine how many terms the quotient will contain . 5 ...
... whole number , prove that ( x + y ) is divisible by 1 my , when ( m ) is odd . Write down the three last terms of the quotient of ( x + y ) 1 1 divided by ( 2 + 1 + y + 1 ) , and examine how many terms the quotient will contain . 5 ...
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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.