Military examinations. Mathematical examination papers, set for entrance to R.M.A., Woolwich, with answers, by W.F. Austin |
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Página 21
... that the whole coefficient of x in the product of the expansions of ( 1 + x ) " and ( 1 − x " ) is equal to the coefficient of x in the expansion of ( 1- x2 ) " . - TRIGONOMETRY . 1. Define the degree and the unit of ( 21 )
... that the whole coefficient of x in the product of the expansions of ( 1 + x ) " and ( 1 − x " ) is equal to the coefficient of x in the expansion of ( 1- x2 ) " . - TRIGONOMETRY . 1. Define the degree and the unit of ( 21 )
Página 22
... unit of circular measure , and show how pass from one of these units to the other . to If the radius of a circle be 25 feet , find to four decimal places the length of the arc subtending an angle of 3 ° , taking π to be 3.1416 . 2 ...
... unit of circular measure , and show how pass from one of these units to the other . to If the radius of a circle be 25 feet , find to four decimal places the length of the arc subtending an angle of 3 ° , taking π to be 3.1416 . 2 ...
Página 30
... unit of acceleration . If the unit of velocity be that with which a point passes over a feet in t seconds , and the unit of acceleration that which produces in t seconds a velocity of b feet per t seconds , find the units of space and ...
... unit of acceleration . If the unit of velocity be that with which a point passes over a feet in t seconds , and the unit of acceleration that which produces in t seconds a velocity of b feet per t seconds , find the units of space and ...
Página 48
... units , what must the unit of time be in order that the same force may be represented by 67 when a yard is the unit of length ? 2. State the second law of motion ; and show that if a body move with velocity in a given direction its ...
... units , what must the unit of time be in order that the same force may be represented by 67 when a yard is the unit of length ? 2. State the second law of motion ; and show that if a body move with velocity in a given direction its ...
Página 70
... unit of circular measure to be 7 of a right angle . 11 2. Trace the changes in sign and magnitude of cos A through the four quadrants , and deduce a general expression for all angles having the same cosine . If cos pocos qe = 0 , prove ...
... unit of circular measure to be 7 of a right angle . 11 2. Trace the changes in sign and magnitude of cos A through the four quadrants , and deduce a general expression for all angles having the same cosine . If cos pocos qe = 0 , prove ...
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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.