## 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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... FRACTIONS Duodecimals .

... FRACTIONS Duodecimals .

**VULGAR FRACTIONS**. RULE OF THREE . • 18 18 17 To find the length of an Elliptic Curve 56 MENSURATION OF SOLIDS . • 18 Of Cubes and Parallelopipedons 18 Of the Prism 18 Of the Pyramid 18 Of Wedges and Prismoids Of ... Page 5

... FRACTIONS Duodecimals .

... FRACTIONS Duodecimals .

**VULGAR FRACTIONS**. • • 18 • 18 Of Cubes and Parallelopipedons 57 • • • 18 Of the Prism 57 • 18 Of the Pyramid 58 • 18 Of Wedges and Prismoids 60 Of the Cylinder . Of the Cone 61 63 19 Of Spheres . 64 · 22 Of ... Page 23

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**VULGAR FRACTIONS**. A fraction is a broken number , or one or more parts of a unit . Thus : 12 inches are 1 foot . Here 1 foot is the unit of measure , and 12 inches are its parts . foot , for 2 ***VULGAR FRACTIONS**. 23**VULGAR FRACTIONS**. Page 24

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**vulgar fraction**consists of two numbers or terms , one written above the other , with a line between them . The number above the line is called the numerator , because ... Fractions to an Equivalent Simple One . 24**VULGAR FRACTIONS**. Page 25

... Fractions to an Equivalent Simple One . Rule . - Multiply all the numerators together for a numerator , and all the denominators for a denominator . NOTE . - All the ...

... Fractions to an Equivalent Simple One . Rule . - Multiply all the numerators together for a numerator , and all the denominators for a denominator . NOTE . - All the ...

**VULGAR FRACTIONS**. Rule . - Prepare the 2**VULGAR FRACTIONS**. 25.### Common terms and phrases

angle avoirdupois axis axle base body brass breadth bushel cast iron center of gravity center of percussion centrifugal force chord circle Circum circumference coal conductor copper Cube Root cubic feet cubic foot cubic inches cylinder decimal denominator depth Diam discharged distance Ditto divide the product divisor engine engine-man Example.-Required Example.-What feet per second find the Area find the Center fluid friction frustrum gallons given number grains heat Hog's lard length lever linseed oil Litharge measure metal minute motion multiply number of teeth number of terms orifice ounces pendulum perpendicular pipe pitch Pounds pressure proportion quantity of water radius revolutions per minute rope Rule Rule.-Multiply screw Segment side specific gravity Spirits turpentine square inch square root steam steel subtract TABLE Tallow timber tons Tredgold troy turpentine unguent velocity versed sine VULGAR FRACTIONS 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.