## Scribner's Engineers' and Mechanics' Companion: Comprising United States' Weights and Measures; Mensuration of Superficies and Solids ... The Mechanical Powers ... Steam and the Steam Engine |

### From inside the book

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... root extracted , = 4 . 3 ✓ Prefixed to any number signifies that the

... root extracted , = 4 . 3 ✓ Prefixed to any number signifies that the

**cube root**of that num- 3 ber is required ; as √64 = 4 . NOTE . The degree of temperature used in this treatise is Fahrenheit , which fixes upon 32 ° for the ... Page 10

... root extracted , = 4 . ✓ Prefixed to any number signifies that the

... root extracted , = 4 . ✓ Prefixed to any number signifies that the

**cube root**of that num- 3 ber is required ; as √64 = 4 . NOTE . The degree of temperature used in this treatise is Fahrenheit , which fixes upon 32 ° for the ... Page 27

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**root**or first a power . When number is multiplied by itself , the result is called the second power or square of that number . Thus , 3 × 3 = 9 , the number 9 is the square or second power of 3. When multiplied twice , the**cube**; three ... Page 28

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**root**, or first power . 525x5 = 25 is the square , or 2d power . 53 = 5x5x5 = 125 is the**cube**, or 3d power . 5 * = 5 × 5 × 5x5 = 625 is the biquadrate , or 4th power , & c . For finding the square or**cube**of any number less than 600 ... Page 29

... root of 42025 . 42025 ( 205 4 405 ) 2025 2025 0 3. Required the square root of 470596 . 470596 ( 686 36 1st divisor 128 ) 1105 1024 2d divisor 1366 ) 8196 8196 For the extraction of the

... root of 42025 . 42025 ( 205 4 405 ) 2025 2025 0 3. Required the square root of 470596 . 470596 ( 686 36 1st divisor 128 ) 1105 1024 2d divisor 1366 ) 8196 8196 For the extraction of the

**cube root**, see Tables of Square and**Cube Roots**...### Common terms and phrases

angle Area of Versed avoirdupois axis axle base body brass breadth bushel cast iron center of gravity center of percussion centrifugal force chord circle Circum circumference coal cone convex surface Copper Cube Root cubic feet cubic foot cubic inches cylinder decimal denominator depth Diam discharged distance Ditto divide the product divisor engine-man Example find the Area find the Center find the Solidity fluid friction frustrum gallons given number grains heat Hog's lard inclined plane length lever measure metal minute motion Multiply the square number of teeth number of terms orifice ounces pendulum perpendicular pipe pitch Pounds pressure proportion quantity of water radius revolutions per minute rope Rule screw Segment side specific gravity square inch square root steam steel subtract TABLE Tallow thickness timber troy unguent velocity versed sine VULGAR FRACTIONS weight wheel wood wrought iron yards Zink

### Popular passages

Page 14 - To reduce a mixed number to an improper fraction. RULE. Multiply the whole number by the denominator of the fraction, and to the product add the numerator for a new numerator, and place it over the denominator. 1. Reduce 127T^ to an improper fraction.

Page 162 - When no unguent is interposed, the friction of any two surfaces, whether of quiescence or of motion, is directly proportional to the force with which they are pressed perpendicularly together ; so that for any two given surfaces of contact there is a constant ratio of the friction to the perpendicular pressure of the one surface upon the other. Whilst this ratio is thus the same for the same surfaces of contact, it is different for different surfaces of contact. The particular value of it in respect...

Page 53 - To find the solidity of a sphere or globe. Rule.— Multiply the cube of the diameter, ce, by the decimal .5236.

Page 49 - Sphere is a body bounded by a uniformly curved surface, all the points of which are equally distant from a point within called the center.

Page 162 - When no unguent is interposed, the amount of the friction is, in every case, wholly independent of the extent of the surfaces of contact ; so that the force with which two surfaces are pressed together being the same, their friction is the same, whatever may be the extent of their surfaces of contact.

Page 46 - To find the solidity of a cube or right prism. Rule. — Multiply the area of the base by the perpendicular height, and the product will be the solid contents.

Page 18 - Having given the first term, the common difference, and the number of terms, to find the last term.

Page 18 - Find the greatest square number in the first or left hand period, place the root of it at the right hand of the given number, (after the manner of a quotient in division) for the first figure of the root, and...

Page 241 - ... per cent., and even less, in some kinds. Steel may be distinguished from iron by its fine grain; its susceptibility of hardening by immersing it, when hot, in cold water ; and with certainty by the action of diluted nitric acid, which leaves a black spot on steel, and on iron a spot which is lighter colored in proportion as the iron contains less carbon. There are many varieties of steel, the principal of which are : Natural steel, which is obtained by reducing the rich and pure kinds of iron...

Page 103 - The velocity given to find the space fallen through, to acquire that velocity. RULE. — Divide the velocity by 8, and the square of the quotient will be the distance fallen through to acquire that velocity.