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
... rest ; the angles between the directions of the forces are 135o , 120o , and 105 ° ; compare their magnitudes . 2. Two forces sustain each other by means of a string passing over a tack ; prove that either force : pressure on tack ...
... rest ; the angles between the directions of the forces are 135o , 120o , and 105 ° ; compare their magnitudes . 2. Two forces sustain each other by means of a string passing over a tack ; prove that either force : pressure on tack ...
Página 66
... rest ; and they are in the ratios of √3 +1 : √6 : 2. Find the angles at which they are respectively inclined to each other . 11. A small ring is attached to one end of a string of given length , the other end of which is fixed to a ...
... rest ; and they are in the ratios of √3 +1 : √6 : 2. Find the angles at which they are respectively inclined to each other . 11. A small ring is attached to one end of a string of given length , the other end of which is fixed to a ...
Página 67
... rest by the given weight P acting at A by means of a string passing over a tack at D : CD is horizontal and equal to AC : find the position of equilibrium . 5. A uniform bent lever , when supported at the angle , rests with the shorter ...
... rest by the given weight P acting at A by means of a string passing over a tack at D : CD is horizontal and equal to AC : find the position of equilibrium . 5. A uniform bent lever , when supported at the angle , rests with the shorter ...
Página 68
... rest by two given weights ; where must they be placed , in order that the distance of the one from the fulcrum may equal the distance of the other from the extremity ? And where must the fulcrum be placed , if the position of the ...
... rest by two given weights ; where must they be placed , in order that the distance of the one from the fulcrum may equal the distance of the other from the extremity ? And where must the fulcrum be placed , if the position of the ...
Página 69
... rests in equilibrium upon a fulcrum 2 feet from one end , having a weight of 5 lbs . at the end furthest from the fulcrum and one of 110 lbs . at the other . Find the weight of the beam . 17 * . Three equal rods without weight are ...
... rests in equilibrium upon a fulcrum 2 feet from one end , having a weight of 5 lbs . at the end furthest from the fulcrum and one of 110 lbs . at the other . Find the weight of the beam . 17 * . Three equal rods without weight are ...
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.