Mathematical Problems and Examples, Arranged According to Subjects, from the Senate-House Examination Papers, 1821 to 1836 InclusiveW.P. Grant, 1836 - 335 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 32.
Σελίδα 151
... other by a string passing over a smooth curve , the plane of which is vertical , the sum of the pressures on any arc depends only on the directions of its extremities . 1828 45. If the particles of a hollow elastic cylinder STATICS . 151.
... other by a string passing over a smooth curve , the plane of which is vertical , the sum of the pressures on any arc depends only on the directions of its extremities . 1828 45. If the particles of a hollow elastic cylinder STATICS . 151.
Σελίδα 152
1828 45. If the particles of a hollow elastic cylinder be so ar- ranged , that on its being subjected to a given internal pressure they may all be in the same given degree of dilatation , find how the thickness must be altered , in ...
1828 45. If the particles of a hollow elastic cylinder be so ar- ranged , that on its being subjected to a given internal pressure they may all be in the same given degree of dilatation , find how the thickness must be altered , in ...
Σελίδα 157
... particle at rest on every point of its surface ; prove that the resultant of all the forces varies inversely as the per- pendicular from the centre on the tangent plane . 94. Explain the action of toothed wheels on each other , and find ...
... particle at rest on every point of its surface ; prove that the resultant of all the forces varies inversely as the per- pendicular from the centre on the tangent plane . 94. Explain the action of toothed wheels on each other , and find ...
Σελίδα 163
141. If in a system consisting of any number of particles a point be taken , and if each particle be multiplied by the square of its distance from the point , the sum of these products will be the least when the point is the centre of ...
141. If in a system consisting of any number of particles a point be taken , and if each particle be multiplied by the square of its distance from the point , the sum of these products will be the least when the point is the centre of ...
Σελίδα 170
... particles of which attract with a force which varies inversely as the square of the distance . Find the velocity acquired in falling through a given space . 40. Shew that if a body oscillates in a cycloid , in a medium the resistance of ...
... particles of which attract with a force which varies inversely as the square of the distance . Find the velocity acquired in falling through a given space . 40. Shew that if a body oscillates in a cycloid , in a medium the resistance of ...
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 255 - If a body be projected from a given point in a given direction with a given velocity...
Σελίδα 4 - If a solid angle be contained by three plane angles, any two of them are greater than the third.
Σελίδα 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.
Σελίδα 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.
Σελίδα 314 - ... varies inversely as the square of the distance of the particle from the centre.