A Collection of Cambridge Mathematical Examination Papers: Papers in the branches of the mixed mathematicsW. P. Grant, 1831 |
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Side 3
... apply it to determine the conditions of equilibrium of two bodies connected by a string , and supported upon a double inclined plane . 11. A rod of given length rests with one end upon the concave surface of an inverted paraboloid , and ...
... apply it to determine the conditions of equilibrium of two bodies connected by a string , and supported upon a double inclined plane . 11. A rod of given length rests with one end upon the concave surface of an inverted paraboloid , and ...
Side 5
... application being given , to determine the co - ordinates of the centre of the forces . 5. A given force being applied at a point P within a tetrahedron , it is required to decompose it into four others applied at the angular points A ...
... application being given , to determine the co - ordinates of the centre of the forces . 5. A given force being applied at a point P within a tetrahedron , it is required to decompose it into four others applied at the angular points A ...
Side 9
... application of the resultant . What will be the result in the case when the two forces are equal ? 5. A beam of wood of given weight rests with one end on the ground , and with the other on an inclined plane ; what is the force ...
... application of the resultant . What will be the result in the case when the two forces are equal ? 5. A beam of wood of given weight rests with one end on the ground , and with the other on an inclined plane ; what is the force ...
Side 10
... application of a fourth force which will keep the parallelogram at rest . 10. In what direction must a ball be projected along the interior of a hollow spherical superficies , so that it may pass through a given point ? the ball being ...
... application of a fourth force which will keep the parallelogram at rest . 10. In what direction must a ball be projected along the interior of a hollow spherical superficies , so that it may pass through a given point ? the ball being ...
Side 14
... position of the centre of gravity of any number of given connected material points . Apply it to find that of a triangular lamina of uniform thickness . 10. Explain the method of indivisibles , and show that 14 [ Trinity EXAMINATION PAPERS.
... position of the centre of gravity of any number of given connected material points . Apply it to find that of a triangular lamina of uniform thickness . 10. Explain the method of indivisibles , and show that 14 [ Trinity EXAMINATION PAPERS.
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A Collection of Cambridge Mathematical Examination Papers: Papers in the ... John Martin Frederick Wright Uten tilgangsbegrensning - 1831 |
A Collection of Cambridge Mathematical Examination Papers: Papers in the ... John Martin Frederick Wright Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
aberration altitude axis body is projected body moving centre of force centre of gravity chord circle circumference cone convex lens curvature curve cycloid cylinder density descends determine diameter direction distance Earth ecliptic elastic ellipse equal equilibrium Explain Find the centre Find the equation find the position fluid focal length focus force acting force tending force varying given angle given point given velocity given weight horizontal plane hyperbola incident inclined plane JOHN'S COLLEGE latitude latus rectum law of force longitude lowest point magnitude meridian Moon motion Newton's method orifice oscillation parabola paraboloid parallax parallel rays particle passing pencil perpendicular placed pressure prove pulley quantity QUEEN'S COLLEGE radii radius ratio reflected refraction rest revolve right ascension round shew sides sine specific gravity sphere spherical reflector spherical triangle square star straight line string Sun's supposed surface tangent telescope TRINITY COLLEGE vertex vertical vessel
Populære avsnitt
Side 213 - 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 139 - If a body be acted on by a given force and revolve in a circle, the arc described .in any given time is a mean proportional between the diameter of the circle and the space through which a body would descend in the same time from rest if acted on by the same force.
Side 213 - If the square described upon one of the sides of a triangle, be equal to the squares described upon the other two sides of it ; the angle contained by these two sides is a right angle.
Side 249 - Prove that the pressure upon any portion of a vessel filled with a fluid of uniform density is equal to the weight of a column of fluid whose base is the area of the surface pressed, and...
Side 141 - In the logarithmic spiral find an expression for the time of a body's descent from a given point to the centre, and prove that the times of successive revolutions are in geometrical progression. 7. A body acted on by a force varying as (dist...
Side 247 - Equal triangles which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional: and conversely, triangles which have one angle in the one equal to one angle in the other, and their sides about the equal angles reciprocally proportional, are equal to one another.
Side 233 - IF a straight line be divided into two equal, and also into two unequal parts; the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section.
Side 233 - If a straight line touch a circle, and from the point of contact a...
Side 238 - Csesar and Pope Gregory. 18. Give the theory of the Trade Winds. 19. Prove that part of the equation of time which arises from the obliquity of the ecliptic to be a maximum when the longitude of the Sun equals the complement of its right ascension. 20. Compare the surface of a sphere with the area of its great circle, and its magnitude with that of its circumscribing cylinder. VOL. II.
Side 198 - when a body revolves on an axis, and a force is impressed, tending to make it revolve on another, it will revolve on neither, but on a line in the same plane with them, dividing the angle which they contain so that the sines of the parts are in the inverse ratio of the angular velocities with which the body would have revolved about the said axes separately.