Mathematical Problems and Examples, Arranged According to Subjects, from the Senate-House Examination Papers, 1821 to 1836 InclusiveW.P. Grant, 1836 - 335 sider |
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Side 148
... density placed on two inclined planes . 14. The distance of the centre of gravity of a cycloid from the vertex = ths of the axis ; compare , from this , the contents of the solids generated by its revolution round the base and a tangent ...
... density placed on two inclined planes . 14. The distance of the centre of gravity of a cycloid from the vertex = ths of the axis ; compare , from this , the contents of the solids generated by its revolution round the base and a tangent ...
Side 149
... density , every inch weighing w oz . a weight of W oz . is suspended at a given distance from the fulcrum which is placed at one extremity . What must be the length of the lever , so that the whole may be supported by the least possible ...
... density , every inch weighing w oz . a weight of W oz . is suspended at a given distance from the fulcrum which is placed at one extremity . What must be the length of the lever , so that the whole may be supported by the least possible ...
Side 150
... density by a power acting at its extremity on the same side of the fulcrum . Required the least power which will support the system , and the corresponding length of the lever . 35. A circular hoop is supported in a horizontal position ...
... density by a power acting at its extremity on the same side of the fulcrum . Required the least power which will support the system , and the corresponding length of the lever . 35. A circular hoop is supported in a horizontal position ...
Side 151
... density at any point ∞ sec3 ( 0 ) , and the weight of the corresponding arc o tan ( 0 ) , being the arc of the gene- rating circle measured from the vertex . 39. One end of a beam is connected to a horizontal plane by a hinge , about ...
... density at any point ∞ sec3 ( 0 ) , and the weight of the corresponding arc o tan ( 0 ) , being the arc of the gene- rating circle measured from the vertex . 39. One end of a beam is connected to a horizontal plane by a hinge , about ...
Side 168
... density , and the density of the other varying as the nth power of the distance from the point of suspension ; and they make small oscillations in times which are as 5 : 6. Required the value of n . 27. Compare the momentum of a ...
... density , and the density of the other varying as the nth power of the distance from the point of suspension ; and they make small oscillations in times which are as 5 : 6. Required the value of n . 27. Compare the momentum of a ...
Vanlige uttrykk og setninger
acted altitude angular apply attraction axes axis body centre of force centre of gravity chord circle coefficients cone conic section coordinates curvature cycloid cylinder density described determine diameter direction distance drawn earth eccentricity ecliptic ellipse equal equilibrium Explain Find the equation fixed fluid focus force varying geometrical given angle given point given velocity horizontal plane hyperbola inclined Integrate intersection Investigate latitude latus rectum length lens locus logarithmic longitude meridian moon moon's motion Newton nodes orbit oscillation parabola parallel particle passing perpendicular plane triangle position pressure projected Prop prove quantity ratio rays refraction revolving right angles right ascension roots shew sides sin² sine solid of revolution specific gravity sphere spherical reflector spherical triangle spheroid square straight line string surface tangent Trace the curve true anomaly varies inversely vertex vertical weight
Populære avsnitt
Side 3 - ... cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight line which bisects the angle.
Side 280 - A cone is a solid figure described by the revolution of a right-angled triangle about one of the sides containing the right angle, which side remains fixed.
Side 126 - If two straight lines meeting one another, be parallel to two straight lines which also meet one another, but are not in the same plane with the first two : the plane which passes through the first two is parallel to the plane passing through the others.
Side 2 - IN right angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal to the similar and similarly described figures upon the sides containing the right angle...
Side 2 - The angles which one straight line makes with another upon one side of it, are either two right angles, or are together equal to two right angles.
Side 255 - If a body be projected from a given point in a given direction with a given velocity...
Side 4 - If a solid angle be contained by three plane angles, any two of them are greater than the third.
Side 157 - To find the magnitude, direction, and point of application of the resultant of any number of parallel forces acting on a rigid body in one plane.
Side 7 - A and B can do a piece of work in m days, B and C in n days, and C and A in p days. In what time can each alone jjerform the work ? 39.
Side 314 - ... varies inversely as the square of the distance of the particle from the centre.