The Mechanic's Calculator: Comprehending Principles, Rules, and Tables in the Various Departments of Mathematics and Machanics |
From inside the book
Results 1-5 of 30
Page 34
... square and cube roots of any numbers , we mean such numbers that , when squared or cubed , will produce these numbers : thus , 2 is the square root of 4 , 3 is the square root of 9 , and 4 is the square root of 16 , & c . In like manner ...
... square and cube roots of any numbers , we mean such numbers that , when squared or cubed , will produce these numbers : thus , 2 is the square root of 4 , 3 is the square root of 9 , and 4 is the square root of 16 , & c . In like manner ...
Page 35
... square root of 365 is required . 365 ( 19.1049 1 29 265 9 261 381 400 1 381 38204 190000 4 152816 382089 3718400 9 3438801 279599 382098 The square root of 2 to six places of decimals is required . 2 ( 1.414213 1 24 100 4 96 281 400 1 ...
... square root of 365 is required . 365 ( 19.1049 1 29 265 9 261 381 400 1 381 38204 190000 4 152816 382089 3718400 9 3438801 279599 382098 The square root of 2 to six places of decimals is required . 2 ( 1.414213 1 24 100 4 96 281 400 1 ...
Page 38
... square root : Move the slider so , that the middle division on C , which is marked 1 , stands against 10 on the line D , then against the given number on C the square root will be found on D. It is to be observed before applying this ...
... square root : Move the slider so , that the middle division on C , which is marked 1 , stands against 10 on the line D , then against the given number on C the square root will be found on D. It is to be observed before applying this ...
Page 39
... square root on D. For the square root of 144 : Set 1 on C to 10 on D ; then against 144 on C will be found the square root 12 on D. 42. To find the area of a board or plank : The rule is , to multiply the length by the breadth , the ...
... square root on D. For the square root of 144 : Set 1 on C to 10 on D ; then against 144 on C will be found the square root 12 on D. 42. To find the area of a board or plank : The rule is , to multiply the length by the breadth , the ...
Page 40
... 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 the square root is often denoted by placed before the number or quantity , thus , √9 = 9 + = 3 ...
... 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 the square root is often denoted by placed before the number or quantity , thus , √9 = 9 + = 3 ...
Other editions - View all
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.