Military examinations. Mathematical examination papers, set for entrance to R.M.A., Woolwich, with answers, by W.F. Austin |
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Página 31
... spherical with a radius of 4,000 miles , loses 10 seconds in 24 hours at the top of a mountain ; find the height of the mountain , and the number of seconds which the same pendulum would lose in 24 hours half - way up . STATICS . 1. By ...
... spherical with a radius of 4,000 miles , loses 10 seconds in 24 hours at the top of a mountain ; find the height of the mountain , and the number of seconds which the same pendulum would lose in 24 hours half - way up . STATICS . 1. By ...
Página 33
... spherical surface on the interior of a concave spherical surface , examine the mathematical condition of stability . A sphere of radius ( r ) rests on a concave sphere , radius ( R ) ; if the sphere be loaded so that the height of its ...
... spherical surface on the interior of a concave spherical surface , examine the mathematical condition of stability . A sphere of radius ( r ) rests on a concave sphere , radius ( R ) ; if the sphere be loaded so that the height of its ...
Página 40
... sphere , and prove that any plane section of a sphere is a circle . If one of the diagonals of a rectangular parallelopiped subtend a right angle at a point , prove that the other diagonals will subtend right angles at the same point ...
... sphere , and prove that any plane section of a sphere is a circle . If one of the diagonals of a rectangular parallelopiped subtend a right angle at a point , prove that the other diagonals will subtend right angles at the same point ...
Página 49
... spheres of masses m ,, m ,, impinge obliquely ; V1 , V2 are their velocities at any time . It being given that m , v + m , v , is the same after impact as before , prove that the velocity of separation is equal to that of approach . Two ...
... spheres of masses m ,, m ,, impinge obliquely ; V1 , V2 are their velocities at any time . It being given that m , v + m , v , is the same after impact as before , prove that the velocity of separation is equal to that of approach . Two ...
Página 56
... sphere is where h is the height 1 + √3 of the tetrahedron . Find also the radius of the sphere touching the base and the other faces produced . 4. If A be the area of a quadrilateral inscribed in a circle , show that the diagonals meet ...
... sphere is where h is the height 1 + √3 of the tetrahedron . Find also the radius of the sphere touching the base and the other faces produced . 4. If A be the area of a quadrilateral inscribed in a circle , show that the diagonals meet ...
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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.