Woolwich Mathematical Papers for Admission Into the Royal Military Academy for the Years, 1880-1888E. J. Brooksmith Macmillan, 1889 |
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Side 13
... smooth wall is supported by a string passing over a smooth peg driven into the wall ; the ends of the string are fastened to two points in the upper rim of the frame which are equidistant from the centre of the rim , and the angle at ...
... smooth wall is supported by a string passing over a smooth peg driven into the wall ; the ends of the string are fastened to two points in the upper rim of the frame which are equidistant from the centre of the rim , and the angle at ...
Side 15
... smooth inclined plane . What is the vertical component of this acceleration ? If two particles P and Q start simultaneously from A , one sliding down the plane AB at the angle a to the horizon , and the other falling freely , prove that ...
... smooth inclined plane . What is the vertical component of this acceleration ? If two particles P and Q start simultaneously from A , one sliding down the plane AB at the angle a to the horizon , and the other falling freely , prove that ...
Side 16
... smooth horizontal plane ; ife be the coefficient of elasticity prove that after the impact A's velocity will be to B's velocity as 1 + e : 1 - e . 9. If , after the impact described in the foregoing question , A moves on and impinges ...
... smooth horizontal plane ; ife be the coefficient of elasticity prove that after the impact A's velocity will be to B's velocity as 1 + e : 1 - e . 9. If , after the impact described in the foregoing question , A moves on and impinges ...
Side 13
... smooth hemispherical bowl of which the axis is vertical and the radius √3 inches long . Shew that one fourth of the rod will project over the rim of the bowl . 3. Shew that if a body be suspended by a single point , its centre of ...
... smooth hemispherical bowl of which the axis is vertical and the radius √3 inches long . Shew that one fourth of the rod will project over the rim of the bowl . 3. Shew that if a body be suspended by a single point , its centre of ...
Side 14
... smooth plane inclined to the horizon at an angle cos - 1 . The rope may be supposed to be always parallel to the surface of the plane . Find also the force applied to the end of the lever , and the distance through which its point of ...
... smooth plane inclined to the horizon at an angle cos - 1 . The rope may be supposed to be always parallel to the surface of the plane . Find also the force applied to the end of the lever , and the distance through which its point of ...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ... E J Brooksmith Ingen forhåndsvisning tilgjengelig - 2016 |
Woolwich Mathematical Papers for Admission Into the Royal Military Academy ... E. J. Brooksmith Ingen forhåndsvisning tilgjengelig - 2018 |
Woolwich Mathematical Papers for Admission Into the Royal Military Academy ... E. J. Brooksmith Ingen forhåndsvisning tilgjengelig - 2017 |
Vanlige uttrykk og setninger
ABCD acceleration accuracy in results ALGEBRA ARITHMETIC asymptotes attached to accuracy axis base Binomial Theorem bisected body cent centre of gravity chord circular measure circumference Common Logarithms cubic curve decimal described diameter distance Divide ellipse equal angles equiangular equilateral equilibrium expression feet Find the equation find the number Find the value forces acting fraction Full marks geometrical given point given straight line Harmonic means horizontal hyperbola inches inclined plane inscribed intersection latus rectum Least Common Multiple logarithms miles an hour N.B.-Great importance opposite parabola parallel parallelogram parallelogram of forces particle perpendicular position projectile prove pulley PURE MATH PURE MATHEMATICS radius ratio rectangle contained rectilineal figure rhombus right angles segment Shew Show sides sine Solve the equations STATICS string subtending tangent triangle ABC TRIGONOMETRY velocity vertex vertical weight yards
Populære avsnitt
Side 11 - If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided into any two parts in the point C; the squares of AB, BC are equal to twice the rectangle AB, BC, together with the square of AC.
Side 12 - 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.
Side 11 - In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle.
Side 12 - In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square of 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 angle. Let ABC be an obtuse-angled triangle, having the obtuse angle...
Side 11 - If two triangles have two angles of the one equal to two angles of the other, each to each ; and one side equal to one side, viz. either the sides adjacent to the equal...
Side 12 - If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it 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.
Side 12 - 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.
Side 12 - In every triangle, the square of the side subtending either of the acute angles is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle.
Side 11 - IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles.
Side 11 - THE angles at the base of an isosceles triangle are equal to one another : and, if the equal sides be produced, the angles upon the other side of the base shall be equal.