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 65
... position by a rod ( without weight ) acting from a given point in the plane against the body ; find the tension of the string . 4. If be the angular distance of a body from the lowest point of a circular arc in a vertical plane , the ...
... position by a rod ( without weight ) acting from a given point in the plane against the body ; find the tension of the string . 4. If be the angular distance of a body from the lowest point of a circular arc in a vertical plane , the ...
Side 66
... position of the ring . 12. Four forces represented by 1 , 2 , 3 , and 4 , act in the same plane on a point . The directions of the first and third are at right angles to each other ; and so are the directions of the second and fourth ...
... position of the ring . 12. Four forces represented by 1 , 2 , 3 , and 4 , act in the same plane on a point . The directions of the first and third are at right angles to each other ; and so are the directions of the second and fourth ...
Side 67
... position of equilibrium . 5. A uniform bent lever , when supported at the angle , rests with the shorter arm horizontal . If the shorter arm were twice as long , it would rest with the other horizontal . Compare the lengths of the arms ...
... position of equilibrium . 5. A uniform bent lever , when supported at the angle , rests with the shorter arm horizontal . If the shorter arm were twice as long , it would rest with the other horizontal . Compare the lengths of the arms ...
Side 68
... position of the weights be reversed ? 9. A uniform rod of given weight and length sus- pended at a given point , is drawn out of the vertical position by a given force , acting upon its lower extremity by means of a string , which ...
... position of the weights be reversed ? 9. A uniform rod of given weight and length sus- pended at a given point , is drawn out of the vertical position by a given force , acting upon its lower extremity by means of a string , which ...
Side 69
... position of equilibrium . 18. One end of a beam is connected with a fixed point by a hinge , about which the beam can revolve in a vertical plane ; the other end is attached to a weight , by means of a string passing over a tack in the ...
... position of equilibrium . 18. One end of a beam is connected with a fixed point by a hinge , about which the beam can revolve in a vertical plane ; the other end is attached to a weight , by means of a string passing over a tack in the ...
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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.