A Collection of Problems and Examples Adapted to the "Elementary Course of Mathematics.": With an Appendix Containing the Questions Proposed During the First Three Days of the Senate-House Examinations in the Years 1848, 1849, 1850, and 1851J. Deighton, 1851 - 173 páginas |
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Página 65
... fixed at A and passing over the end C of the rod . Find the position of equi- librium . 6. A string PAQ is knotted to a fixed point A , and drawn in different directions by the forces P and Q , in such a manner that the pressure on A ...
... fixed at A and passing over the end C of the rod . Find the position of equi- librium . 6. A string PAQ is knotted to a fixed point A , and drawn in different directions by the forces P and Q , in such a manner that the pressure on A ...
Página 66
... fix two ropes at its top , one of which reaches the ground making an angle of 60 ° with the tree , and the other 45o ... fixed to a given point in the same horizontal line as the former , and this string passing through the ring supports ...
... fix two ropes at its top , one of which reaches the ground making an angle of 60 ° with the tree , and the other 45o ... fixed to a given point in the same horizontal line as the former , and this string passing through the ring supports ...
Página 67
... fixed perpendicular to AB . Prove that if a weight be suspended to the extre- mity A , and the system be in equilibrium , the tangent of the inclination of CD to the vertical will be proportional to the weight . 2. Four weights , 1 , 3 ...
... fixed perpendicular to AB . Prove that if a weight be suspended to the extre- mity A , and the system be in equilibrium , the tangent of the inclination of CD to the vertical will be proportional to the weight . 2. Four weights , 1 , 3 ...
Página 69
... fixed , so that a man endeavouring to pull down the tree may have the greatest advantage ? 16. A uniform beam 18 feet long , rests in equilibrium upon a fulcrum 2 feet from one end , having a weight of 5 lbs . at the end furthest from ...
... fixed , so that a man endeavouring to pull down the tree may have the greatest advantage ? 16. A uniform beam 18 feet long , rests in equilibrium upon a fulcrum 2 feet from one end , having a weight of 5 lbs . at the end furthest from ...
Página 74
... fixed to the other end of the string , find the position in which the beam rests . 12. AC and BD are two beams , of given weights , move- able in a vertical plane about the fixed points A and B in the same horizontal line ; BD rests ...
... fixed to the other end of the string , find the position in which the beam rests . 12. AC and BD are two beams , of given weights , move- able in a vertical plane about the fixed points A and B in the same horizontal line ; BD rests ...
Otras ediciones - Ver todas
A Collection of Problems and Examples, Adapted to the Elementary Course of ... Harvey Goodwin Sin vista previa disponible - 2019 |
A Collection of Problems and Examples Adapted to the 'Elementary Course of ... Harvey. Goodwin Sin vista previa disponible - 2015 |
A Collection of Problems and Examples, Adapted to the 'Elementary Course of ... Harvey Goodwin Sin vista previa disponible - 2010 |
Términos y frases comunes
angular points arithmetical arithmetical mean arithmetical series axis base bisects centre of gravity chord circle concave convex lens cos² cosec curve cylinder Describe determine diameter direction distance Divide drawn elastic balls ellipse equal equation equilibrium feet find the height Find the number find the position Find the velocity fluid focal length force geometrical focus geometrical progression geometrical series given point given velocity given weight horizontal plane hyperbola immersed inches incident inclined plane inscribed latus rectum luminous point mirror motion moving Multiply observed parabola parallel parallelogram pencil of rays perpendicular placed pressure proportional prove pullies quantities radii radius ratio reflexion refracted respectively right angle shew sides sin² specific gravity sphere spherical square St John's College straight line string passing Subtract surface tangent tower triangle vertex
Pasajes populares
Página 111 - If two triangles have two sides of the one equal to two sides of the...
Página 128 - 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 111 - If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Página 112 - EQUAL straight lines in a circle are equally distant from the centre ; and those which are equally distant from the centre, are equal to one another.
Página 144 - ... a circle. The angle in a semicircle is a right angle: the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Página 160 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Página 112 - 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.
Página 160 - 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.