Mechanics for the Millwright, Machinist, Engineer, Civil Engineer, Architect and Student: Containing a Clear Elementary Exposition of the Principles and Practice of Building Machines ...

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Lippincott, 1864 - 420 páginas
 

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Página 59 - ... its root on the right hand of the given number, after the manner of a quotient figure in Division. Subtract the square thus found from the said period, and to the remainder annex the two figures of the next following period, for a dividend. Double the root above mentioned for a divisor, and find how often it is contained in the said dividend, exclusive of its righthand figure ; and set that quotient figure both in the quotient and divisor.
Página 419 - ... number, by the decimal part of the given number, and add the product to the root of the given integer number ; the sum is the root required.
Página 63 - E, is equal to twice as many right angles as the figure has sides, less four right angles.
Página 63 - The rectangle of the hypothenuse and either segment is equal to the square of the adjoining side. 15. The distance A o of the right angle, from the middle of the hypothenuse is equal to half the hypothenuse. 16. In a right-angled triangle, the square of the hypothenuse is equal to the sum of the squares of the two sides. 17. If the square of one side of a triangle be equal to the sum of the squares of the other two sides ; then the angle comprehended by them is a right angle.
Página 66 - The complement of an arc is its difference from a quadrant; and the complement of an angle is its difference from a right angle.
Página 155 - The force which must be expended in order to raise the piston, is equal to the weight of a column of water, whose base is the section of the piston, and whose height is that to which the water is raised.
Página 415 - Iridium Manganese Molybdenum Osmium Rhodium Tellurium Titanium Tungsten Uranium Gold Silver Platinum Iron Copper Zinc Tin Lead Nickel Palladium Cadmium Gold Silver Copper Tin Platinum Lead Zinc Iron Nickel Palladium Cadmium Thickness in parts of inches.
Página 85 - Find also the area of the triangle, formed by the chord of the segment and the two radii of the sector. Then...
Página 58 - Add the quotient, last found, to the number belonging to that error, when its supposed number is too little, but subtract it when too great, and the result will give the true root nearly. 4. Take this root and the nearest of the two former, or any other that may be found nearer ; and, by proceeding in like manner as above, a root will be had still nearer than before.
Página 65 - In any pyramid a section parallel to the base is similar to the base ; and these two planes are to each other as the squares of their distances from the vertex.

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