Useful Rules and Tables Relating to Mensuration, Engineering, Structures, and Machines

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C. Griffin, 1866 - Engineering - 312 pages
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Page 45 - Euclid has proved that the areas of circles are proportional to the squares of their diameters (Eue.
Page 67 - To find the area of a trapezoid. RULE. Multiply half the sum of the two parallel sides "by the perpendicular distance between them : the product will be the area.
Page 14 - ... between 1 and 10 is obtained by moving the decimal point of the number (actual or implied) the required number of digits. The power of 10, for a number greater than 1, is positive and is one less than the number of digits before the decimal point in the original number. The power of 10, for a number less than 1, is negative and is one more than the number of zeros immediately following the decimal point in the original number. Hence...
Page 145 - ... the ratio of the mass of a given volume of the substance to the mass of an equal volume of water, in which case it is equal to the specific gravity. In its application to gases, the term THE INTENSITY OP PRESSURE. 121
Page 118 - Then, without moving the vertical circle, direct the telescope towards the star, clamp the vernier-plate, and by the aid of its tangent-screw follow the star in azimuth with the cross wires until it arrives exactly at its former altitude, as is shown by its image coinciding with the cross wires; then measure the horizontal angle between the new direction of the star and the station-line...
Page 271 - Let Q be the whole supply of water, in cubic feet per second, of which q is lifted to the height h above the pond, and Q — q runs to waste at the depth H below the pond.
Page 125 - Choose any two numbers; take the sum of their squares, the difference of their squares, and twice their product...
Page 118 - The theodolite being at a station in the station-line chosen, measure the horizontal angle from the station-line to any star which is not near the highest or lowest point of its apparent daily course, and take also the altitude of that star. Leave the vertical circle clamped, and let the instrument remain perfectly undisturbed until the star is approaching the same altitude at the other side of its apparent circular course. Then, •without moving the vertical circle, direct the telescope towards...
Page 74 - The square of the hypothenuse in a right angle is equal to the squares of the sides containing the right angle :" and the theorems of Archimedes, " The surface of a sphere is equal to the curved surface of its circumscribing cylinder ; the volume of the sphere is two-thirds of the volume of that cylinder,
Page 15 - The logarithm of a power of a number is found by multiplying the logarithm of the number by the exponent of the power. For, AŤ = (10°)

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