Griswold's Railroad Engineers' Pocket Companion for the Field: Comprising Rules for Calculating Deflexion Distances and Angles, Tangential Distances and Angles, and All Necessary Tables for Engineers; Also, the Art of Leveling from Preliminary Survey to the Construction of Railroads ...

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H.C. Baird, 1866 - Railroad engineering - 134 pages
 

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Page 75 - Add the three sides together, and take half the sum ; from the half sum subtract each side separately ; multiply the half sum and the three remainders continually together ; and the square root of the last product will be the area of the triangle.
Page 79 - To find the solidity of a sphere or globe. RULE. Multiply the cube of the diameter by .5236.
Page 81 - Multiply the thickness of the ring added to the inner diameter by the thickness and by 9 '8698, and the product will be the convex surface. RULE 2. To the thickness of the ring add the inner diameter ; multiply that sum by the square of the thickness and by 2'4674, and the product will be the solid content.
Page 79 - RULE. To the sum of the areas of the two ends add the square root of their product ; multiply this sum by the perpendicular height, and \ of the product is the solid content.
Page 9 - As 7 is to 22, so is the diameter to the circumference; or, as 22 is to 7, so is the circumference to the diameter.
Page i - Field : Comprising Rules for Calculating Deflection Distances and Angles, Tangential Distances and Angles, and all Necessary Tables for Engineers ; also the art of Levelling from Preliminary' Survey to the Construction of Railroads, intended Expressly for the Young Engineer, together with Numerous Valuable Rules and Examples.
Page 77 - ... the diameter. To find the Area of a Circle. Rule 1. — Multiply the square of the diameter by -7854, or the square of the circumference by -07958; the product, in either case, will be the area.
Page 80 - Add the square of the height to three times the square of the radius of the base ; multiply that sum by .the height, and by *5236, and the product is the solid content.
Page 9 - To find the circumference of a circle when the diameter is given, or the diameter when the circumference is given. RULE. — Multiply the diameter by 3.1416...
Page 12 - ... lay off the tangential angle sto, of the curve tio; making at the same time the chord to, equal to 100 feet. NB — If running the curve by eye, use the tangential distances, instead of the angles. ARTICLE XV. RADII. To find the radius corresponding to any given angle of deflexion, and to equal chords of any given length. Rule 1. Subtract the angle of deflexion from 180°, then say as nat. sine of angle of deflexion, is to nat. sine of half the remainder, so is the given chord to the radius required....

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