The Principles of the Solution of the Senate-house 'riders,' Exemplified by the Solution of Those Proposed in the Earlier Parts of the Examinations of the Years 1848-1851 |
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Page 72
... fluid . ( B ) . If from every point in the vertical side of a rect- angular vessel containing fluid a horizontal line be drawn proportional to the pressure at that point ; find the locus of the extremities of such lines ; and thence ...
... fluid . ( B ) . If from every point in the vertical side of a rect- angular vessel containing fluid a horizontal line be drawn proportional to the pressure at that point ; find the locus of the extremities of such lines ; and thence ...
Page 73
... fluid , is the point of application of the resultant of the fluid pressures upon the side . 1849 . ( A ) . Determine the whole pressure on a surface im- mersed in a heavy fluid of uniform density . ( B ) . What must be the vertical ...
... fluid , is the point of application of the resultant of the fluid pressures upon the side . 1849 . ( A ) . Determine the whole pressure on a surface im- mersed in a heavy fluid of uniform density . ( B ) . What must be the vertical ...
Page 74
Francis James Jameson. gravity is at depth z below the surface of the fluid , is oz S. If h , c , r are respectively the height of the cone in ( B ) , the length of the slant side , and the radius of the base , area of curved surface ...
Francis James Jameson. gravity is at depth z below the surface of the fluid , is oz S. If h , c , r are respectively the height of the cone in ( B ) , the length of the slant side , and the radius of the base , area of curved surface ...
Page 75
... fluid displaced , and the centres of gravity of the body and of the fluid displaced must lie in the same vertical line . The latter condition shews that the cubic foot of cork men- tioned in ( B ) will float in stable equilibrium with a ...
... fluid displaced , and the centres of gravity of the body and of the fluid displaced must lie in the same vertical line . The latter condition shews that the cubic foot of cork men- tioned in ( B ) will float in stable equilibrium with a ...
Page 77
... fluid whose height is x , together with the pressure II on the surface of the fluid ; therefore P = = σ.x + II , = σ ( x + h ) , if h is the height of a column of fluid whose weight is equal to the pressure of the atmosphere . Therefore ...
... fluid whose height is x , together with the pressure II on the surface of the fluid ; therefore P = = σ.x + II , = σ ( x + h ) , if h is the height of a column of fluid whose weight is equal to the pressure of the atmosphere . Therefore ...
Other editions - View all
The Principles of the Solution of the Senate-House 'Riders: Exemplified by ... Francis J. Jameson No preview available - 2018 |
The Principles of the Solution of the Senate-House 'Riders: Exemplified by ... Francis J. Jameson No preview available - 2015 |
Common terms and phrases
AC² AN.NM Arithmetic arithmetical progression axis bisects body C₁ Cambridge centre of gravity chord CHURCHILL BABINGTON circle cloth cone Conic Sections conjugate hyperbola constant curvature curve cycloid describe diameter direction directrix distance drawn Edition ellipse equations equilibrium Fellow of St fluid focus geometrical given point Hence horizontal hyperbola inches inclined inscribed John's College joining latus-rectum least common multiple Lemma length locus meet mirror move number of seconds oscillation parabola parallel parallelogram particle perpendicular plane polygon pressure prop proportional proposition prove pullies quadrilateral quantity radius ratio rays rectangle refraction right angles sewed shew sides specific gravity spherical square straight line string surface tan² tangent triangle ABC Trinity College tube V₁ vary vertex vertical W₁ weight
Popular passages
Page 4 - To divide a given straight line 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.
Page 6 - The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference.
Page 11 - AB is a diameter, and P any point in the circumference of a circle; AP and BP are joined and produced if necessary ; if from any point C of AB, a perpendicular be drawn to AB meeting AP and .BP in points D and E respectively, and the circumference of the circle in a point F, shew that CD is a third proportional of CE and CF.
Page 9 - IF the angle of a triangle be divided into two equal angles, by a straight line which also cuts the base; the segments of the base shall have the same ratio which the other sides of the triangle have to one another...
Page 4 - 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.