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 57
... extremities and at the middle point of a base measured on the earth's surface . Find an expression for the height of the balloon . 3. In order to ascertain the height of a mountain , a base was measured of 2761 feet , and at either ...
... extremities and at the middle point of a base measured on the earth's surface . Find an expression for the height of the balloon . 3. In order to ascertain the height of a mountain , a base was measured of 2761 feet , and at either ...
Side 67
... extremity of a lever , balances W2 placed at B , the other extremity . Prove that a weight equal to the first n 1 weights , if placed at A , will balance a weight equal to the last n − 1 , if placed at B. 2 - - 4. The lever AC ...
... extremity of a lever , balances W2 placed at B , the other extremity . Prove that a weight equal to the first n 1 weights , if placed at A , will balance a weight equal to the last n − 1 , if placed at B. 2 - - 4. The lever AC ...
Side 68
... extremity by means of a string , which passes over a peg at a given point in the same horizontal line with the axis of suspension ; find the angle through which the rod is drawn . 10. Two weights , 3 and 4 , balance on the extremities ...
... extremity by means of a string , which passes over a peg at a given point in the same horizontal line with the axis of suspension ; find the angle through which the rod is drawn . 10. Two weights , 3 and 4 , balance on the extremities ...
Side 69
... extremity to the extremities of the other two , so as to form a rigid framework ; the rods make equal angles with each other , and the framework is suspended in a vertical plane by a pivot at its centre ; if three weights be suspended ...
... extremity to the extremities of the other two , so as to form a rigid framework ; the rods make equal angles with each other , and the framework is suspended in a vertical plane by a pivot at its centre ; if three weights be suspended ...
Side 73
... extremities fastened to the ends of a uniform bar of known weight , passes over four tacks so as to form with the ... extremity of a beam AB ( moveable in a vertical plane about the point A , ) by a string passing over a pully at C in ...
... extremities fastened to the ends of a uniform bar of known weight , passes over four tacks so as to form with the ... extremity of a beam AB ( moveable in a vertical plane about the point A , ) by a string passing over a pully at C in ...
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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.