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 sider |
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Side 68
... inch . Find its length when a given weight na , suspended at one end , keeps it in equi- librium about a fulcrum at a distance of b inches from the other end . 14. A beam , 30 feet long , balances about a point at one- third of its ...
... inch . Find its length when a given weight na , suspended at one end , keeps it in equi- librium about a fulcrum at a distance of b inches from the other end . 14. A beam , 30 feet long , balances about a point at one- third of its ...
Side 69
... of which makes 158 turns in the course of 12 inches , and which is acted on by an arm 6 feet long ? 2. In the annexed systems of pullies , compare P and W. W W W 3. A weight W is sustained upon an inclined plane STATICS . 69.
... of which makes 158 turns in the course of 12 inches , and which is acted on by an arm 6 feet long ? 2. In the annexed systems of pullies , compare P and W. W W W 3. A weight W is sustained upon an inclined plane STATICS . 69.
Side 70
... inch ? 13. Two weights sustain each other on two inclined planes having a common altitude , by means of a string parallel to the planes ; compare the pressures on the planes . 14. In the third system of pullies , there being 8 equal ...
... inch ? 13. Two weights sustain each other on two inclined planes having a common altitude , by means of a string parallel to the planes ; compare the pressures on the planes . 14. In the third system of pullies , there being 8 equal ...
Side 71
... inches radius ? FRICTION . 1. If the inclination to the horizon of a plane on which a body is placed , is slowly increased till the body begins to move , its tangent , at the instant of the com- mencement of motion , is equal to the ...
... inches radius ? FRICTION . 1. If the inclination to the horizon of a plane on which a body is placed , is slowly increased till the body begins to move , its tangent , at the instant of the com- mencement of motion , is equal to the ...
Side 86
... inches . 6. How may the pendulum be applied to determine the radius of the earth ? 7. A seconds ' pendulum is lengthened by 1 inch ; find how many seconds it will lose in 12 hours . 8. If the pendulum be shortened 5 inches , what num ...
... inches . 6. How may the pendulum be applied to determine the radius of the earth ? 7. A seconds ' pendulum is lengthened by 1 inch ; find how many seconds it will lose in 12 hours . 8. If the pendulum be shortened 5 inches , what num ...
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Vanlige uttrykk og setninger
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
Populære avsnitt
Side 111 - If two triangles have two sides of the one equal to two sides of the...
Side 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.
Side 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.
Side 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.
Side 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.
Side 160 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Side 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.
Side 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.