Handbook of the Steam-engine |
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Page 44
... SQUARE ROOTS OF NUMBERS . The product of a number multiplied by itself is called a square , and the quotient obtained by dividing this product by the num- ber is the square root of the product . Thus 12 times 12 is 144 , which is the square ...
... SQUARE ROOTS OF NUMBERS . The product of a number multiplied by itself is called a square , and the quotient obtained by dividing this product by the num- ber is the square root of the product . Thus 12 times 12 is 144 , which is the square ...
Page 45
... square of 3 is 9 , since 3 x3 = 9 . Contrariwise 1 , 2 , and 3 are the square roots of 1 , 4 , and 9 . If we write the numbers 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , and their squares 1 , 4 , 9 , 16 , 25 , 36 , 49 , 64 ...
... square of 3 is 9 , since 3 x3 = 9 . Contrariwise 1 , 2 , and 3 are the square roots of 1 , 4 , and 9 . If we write the numbers 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , and their squares 1 , 4 , 9 , 16 , 25 , 36 , 49 , 64 ...
Page 46
... square root of 12 , though a determinate magnitude , cannot be expressed by fractions . There is therefore a kind of numbers which cannot be specified by fractions , but which still are determinate quantities , and of these numbers the ...
... square root of 12 , though a determinate magnitude , cannot be expressed by fractions . There is therefore a kind of numbers which cannot be specified by fractions , but which still are determinate quantities , and of these numbers the ...
Page 47
John Bourne. SQUARE ROOTS OF NUMBERS . 47 Thus , in extracting the square roots of 15,625 and 998,001 , the mode of procedure is as follows : — 15625 ( 125 1 22 ) 56 44 245 ) 1225 1225 998001 ( 999 81 189 ) 1880 1701 1989 ) 17901 17901 ...
John Bourne. SQUARE ROOTS OF NUMBERS . 47 Thus , in extracting the square roots of 15,625 and 998,001 , the mode of procedure is as follows : — 15625 ( 125 1 22 ) 56 44 245 ) 1225 1225 998001 ( 999 81 189 ) 1880 1701 1989 ) 17901 17901 ...
Page 48
... square , and its exact root cannot be found , but it may be approximated to by using decimals to carry on the division with sufficient nearness for all useful pur poses . ON THE CUBES AND CUBE ROOTS OF NUMBERS . When any number is ...
... square , and its exact root cannot be found , but it may be approximated to by using decimals to carry on the division with sufficient nearness for all useful pur poses . ON THE CUBES AND CUBE ROOTS OF NUMBERS . When any number is ...
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Common terms and phrases
40 inches 64 inches air-pump crosshead amount atmosphere beam body boiler breadth carbonic acid cast-iron centre chimney coal coefficient column condenser constant number crank in inches cube root cubic feet cubic foot cubic inches cylinder in inches decimal denominator diagram taken diameter of cylinder dimensions divisor engine equal Example 1.-Let 40 Example 2.-Let 64 Example 2.-What Fahrenheit feet per second figure FIND THE PROPER flue fly-wheel fraction furnace gibs and cutter given heating surface horse-power hour inch of section inches diameter latent heat logarithm motion moving pence pendulum pipe piston rod pounds proper depth proper diameter proper thickness proportion pump quantity quotient resistance revolutions per minute RULE.-Multiply the diameter screw sectional area shaft shillings side lever side rod specific heat speed square feet square inch square root strength stroke subtract temperature tion tubes valve velocity vessel vulgar fraction water-line weight wheel
Popular passages
Page 211 - Constant of an engine is found by multiplying the area of the piston in square inches by the speed of the piston in feet per minute and dividing the product by 33,000. It is the power the engine would develop with one pound mean effective pressure. To find the horse-power of the engine, multiply the MEP of the diagram by this constant.
Page 278 - Rule : Multiply the square of the diameter of the cylinder in inches by the cube root of the stroke in feet, and divide the product by 47. The quotient is the nominal horse-power of the engine.
Page 103 - ... is the same as that which a heavy body would acquire in falling from the height of an atmosphere composed of the gas in question of uniform density throughout.