The Mechanic's Calculator: Comprehending Principles, Rules, and Tables in the Various Departments of Mathematics and Machanics |
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Page 33
... cube of any number is the product of that number multiplied twice by itself : thus , the cube of 2 is 8 , the cube of 3 is 27 , the cube of 4 is 64 , & c . On the other hand , when we talk of the square and cube roots of any numbers ...
... cube of any number is the product of that number multiplied twice by itself : thus , the cube of 2 is 8 , the cube of 3 is 27 , the cube of 4 is 64 , & c . On the other hand , when we talk of the square and cube roots of any numbers ...
Page 34
... cube root of 64 , 5 the cube root of 125 , & c . The cube and cube root are said to be of higher order than the square and square root ; and there are higher orders than these , with which we shall not concern ourselves , as they will ...
... cube root of 64 , 5 the cube root of 125 , & c . The cube and cube root are said to be of higher order than the square and square root ; and there are higher orders than these , with which we shall not concern ourselves , as they will ...
Page 35
... cube root is this : By trials , take the nearest cube to the given number , whether it be greater or less , and call it the assumed cube : thus , if 29 was the given cube whose root was to be ex- tracted , then , 3 times 3 times 3 , or ...
... cube root is this : By trials , take the nearest cube to the given number , whether it be greater or less , and call it the assumed cube : thus , if 29 was the given cube whose root was to be ex- tracted , then , 3 times 3 times 3 , or ...
Page 36
... cube , will give a quotient which will be the re- quired root , nearly . as By using , in like manner , the cube of the last answer , an assumed root , and proceeding in the same manner , we will get a second answer nearer the truth ...
... cube , will give a quotient which will be the re- quired root , nearly . as By using , in like manner , the cube of the last answer , an assumed root , and proceeding in the same manner , we will get a second answer nearer the truth ...
Page 40
... cube is marked by a 3 placed in the same way , as 33-27 , that is , the cube of 3 is 27 . 3 The square root is noted in a similar manner by the frac- tion placed in the same way , as 9-3 , and so likewise the cube root , as 27 = 3 ; but ...
... cube is marked by a 3 placed in the same way , as 33-27 , that is , the cube of 3 is 27 . 3 The square root is noted in a similar manner by the frac- tion placed in the same way , as 9-3 , and so likewise the cube root , as 27 = 3 ; but ...
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The Mechanic's Calculator: Comprehending Principles, Rules, and Tables in ... William Grier No preview available - 2015 |
Common terms and phrases
absciss avoirdupois axis beam body boiler bottom breadth called cast iron centre of gravity chord circle circumference column cube root cubic foot cubic inches cylinder decimal denominator depth difference distance divided divisor draw effect elastic equal feet long feet per second figure fluid force fraction fulcrum gallons give given line greater half heat hence horses inclined plane length lever machine measure mechanic minute motion move multiplied number of teeth ordinate orifice ounces parabola parallel parallelogram pendulum perpendicular pinion pipe piston plane pounds pressure proportion pulley pump quantity of water quars quotient radius rectangle resistance right angles rule shaft side specific gravity square inch square root steam engine stroke surface temperature thickness tons transverse triangle tube valve velocity vulgar fractions water wheel weight wheel wherefore yard
Popular passages
Page 20 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 121 - Powers, are certain simple instruments, commonly employed for raising greater weights, or overcoming greater resistances, than could be effected by the natural strength without them. These are usually accounted six in number, viz. the Lever, the Wheel and Axle, the Pulley, the Inclined Plane, the Wedge, and the Screw.
Page 23 - The denominator of a decimal, though never expressed, is always the unit, 1, with as many ciphers annexed as there are figures in the decimal.
Page 21 - Rule. — Multiply the whole number by the denominator of the fraction, add the numerator to the product and place the denominator under the result.
Page 53 - OF TIME. 60 Seconds = 1 Minute 60 Minutes = 1 Hour 24 Hours = 1 Day 7 Days = 1 Week 28 Days = 1 Lunar Month...
Page 275 - ... way of employing the strength of horses. Robertson Buchanan states, that the mechanical effects of men in working a pump, in turning a winch, in ringing a bell, and rowing a boat, are as the numbers 100, 167, 227, and 248. According to Hatchette, of a man working at the cord of a pulley to raise the ram of a pile engine = 50 dynamical units.
Page 133 - The power is to the weight which is to be raised, as the distance between two threads of the screw, is to the circumference of a circle described by the power applied at the end of the lever.
Page 61 - In a right-angled triangle, the side opposite the right angle is called the Hypotenuse ; and the other two sides are called the Legs, and sometimes the Base and Perpendicular.
Page 109 - BRICKWORK is estimated at the rate of a brick and a half thick. So that if a wall be more or less than this standard thickness, it must be reduced to it, as follows : Multiply the superficial content of the wall by the number of half bricks in the thickness, and divide the product by 3. The...
Page 61 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.