## 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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**chord**of 60 on the sector as radius , describe a circle , taking the length 45 on the same line of the sector ; mark this distance off on the circumference , which , being repeated around the circle , will give the points of the side ... Page 39

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**chord**is a straight line , which joins the two extremes of an arc . 8. A circular segment is the space contained between an are and its**chord**. The**chord**is sometimes called the base of the segment . The height of the segment is the ... Page 40

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**chord**, and height are given Rule . Multiply the number of degrees in the arc by the decimal 1745 , and that product by the radius of the circle . Or , from 8 res the**chord**of half the arc , subtract the**chord**of the whole arc , and of ... Page 41

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**chord**, a b , is 120 , and whose height , p d , is 45 ? 120 ÷ 2 = 60 =**chord**of the arc . And 60 = 3600 45 = 2025 Then 5625 sum of the squares . 5625 = 75 =**chord**of the arc . And 75 × 8-120-3-160 . Ans . d a b P C NOTE . The**chord**... Page 42

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**chord**of the arc to the square of the versed sine of half the arc , and divide the sum by the versed sine ; the quotient will be the diameter . It is manifest that the area of the sector has the same ratio to the area of the circle ...### 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 Copper Cube Root cubic feet cubic foot cubic inches cylinder decimal denominator depth Diam discharged distance Ditto divide the product divisor engine-man Example feet per second find the Area find the Center fluid friction frustrum gallon given number grains heat Hog's lard inclined plane length lever Measure mechanical metal miles minute motion Multiply the square NOTE 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 specific gravity square inch square root steam steel subtract TABLE Tallow thickness timber troy unguent velocity Versed Area versed sine VULGAR FRACTIONS weight wood wrought iron yards Zink

### Popular passages

Page 6 - 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 154 - 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 45 - To find the solidity of a sphere or globe. Rule.— Multiply the cube of the diameter, ce, by the decimal .5236.

Page 41 - 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 154 - 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 38 - 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 11 - Having given the first term, the common difference, and the number of terms, to find the last term.

Page 10 - 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 233 - ... 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 95 - 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.