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 1848-1851Macmillan & Company, 1851 - 116 páginas |
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Página 45
... body at rest , prove that their lines of action are either parallel or pass through a point ; and in both cases , shew that any two of the forces are inversely proportional to the perpendiculars drawn on their respective lines of action ...
... body at rest , prove that their lines of action are either parallel or pass through a point ; and in both cases , shew that any two of the forces are inversely proportional to the perpendiculars drawn on their respective lines of action ...
Página 46
... body is kept in equilibrium by three forces acting in one plane , either their directions are parallel , and one force is equal to the sum or difference of the other two ; or their directions meet in a point , and each force is as the ...
... body is kept in equilibrium by three forces acting in one plane , either their directions are parallel , and one force is equal to the sum or difference of the other two ; or their directions meet in a point , and each force is as the ...
Página 47
... body CD acted on by two forces F and R , whose directions pass through A ; the force ( P ) therefore which , acting at D , is to preserve the equilibrium , must , by ( 4 ) , also pass through A. The proposition further tells us that the ...
... body CD acted on by two forces F and R , whose directions pass through A ; the force ( P ) therefore which , acting at D , is to preserve the equilibrium , must , by ( 4 ) , also pass through A. The proposition further tells us that the ...
Página 48
... body round the axis . Let now ABDF ( fig . 35 ) be a polygon whose sides represent in magnitude and direction a series of forces tending to turn a body round an axis through O perpendicular to the plane of the polygon . The tendency of ...
... body round the axis . Let now ABDF ( fig . 35 ) be a polygon whose sides represent in magnitude and direction a series of forces tending to turn a body round an axis through O perpendicular to the plane of the polygon . The tendency of ...
Página 49
Francis James Jameson. If one point only of a body be in contact with a smooth plane , the forces acting on the body ( excluding the reaction of the plane ) must admit of a resultant passing through the point of contact and perpendicular ...
Francis James Jameson. If one point only of a body be in contact with a smooth plane , the forces acting on the body ( excluding the reaction of the plane ) must admit of a resultant passing through the point of contact and perpendicular ...
Otras ediciones - Ver todas
The Principles of the Solution of the Senate-House 'Riders: Exemplified by ... Francis J. Jameson Sin vista previa disponible - 2018 |
The Principles of the Solution of the Senate-House 'Riders: Exemplified by ... Francis J. Jameson Sin vista previa disponible - 2015 |
Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.
Página 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.
Página 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...
Página 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.