Some Quick and Easy Methods of Calculating, a Simple Explanation of the Theory and Use of the Slide-rule, Logarithms, Etc

E. & F.N. Spon, Limited, 1907 - Calculators - 152 pages

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Contents

 page 2 Division 39 Useful Commercial Applications 51 Reciprocals 54 Powers and Roots 61 Combined use of all the scales 73
 Circular SlideRules 89 Degrees to radians 95 Strength of beams rules etc 121 Spiral springs 129 INUKX 147

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Page 15 - The logarithm of a product is the sum of the logarithms of the factors. 10™ 2. — : = 10'"~r. The logarithm of a quotient is the logarithm of the dividend minus the logarithm of the divisor. 3. (10'")'
Page 16 - THIS instrument offers a mechanical solution of problems due to the principle of logarithms that the product of two numbers corresponds to the sum of their logarithms, the quotient of two numbers to the difference of their logarithms, and the power of any number to the product of the logarithm of the number "and the index of its power. A logarithmic scale is one representing the logarithms of all numbers, or one on which the distance of any number from the commencement of the scale corresponds to...
Page 92 - The rule consists of a cylinder (d) that can be moved up and down upon, and turned round, an axis (/), which is held by a handle (e).
Page 98 - These distances are b*/a and a?{b respectively, where a and b are the major and minor semi-axes of the ellipse.
Page 135 - V = the equivalent, in cubic feet of free air per minute, of the volume of air passing through the pipe. L = length of pipe in feet. D = diameter of pipe in inches.
Page 137 - IHP = indicated horsepower of engine; P = MEP in pounds per square inch; A = area of piston in square inches; L = length of stroke in feet ; N= number of working strokes per minute. Then, the...
Page 8 - A number is exactly divisible by 2 when the number ends in an even number or in 0, by 3, when the sum of the figures is exactly divisible by 3, by 4, when the number formed by the last two figures of the number is exactly divisible by 4, by 5, when the number ends in 5 or 0. Addition. Example: Add together 307,495 and 6,350.
Page 15 - The logarithm of the quotient of two numbers is equal to the logarithm of the numerator diminished by the logarithm of the denominator.
Page 83 - A girder to carry a bridge is in the form of a circular arc ; the length of the span is 120 feet and the rise of the arch (ie the height of the middle above the ends) is 25 feet. Find the angle subtended by the arc at the centre of the circle, and the radius of the circle. If the girder expands O'0OOOI of its length for a rise of 1° C.
Page 101 - The volume of the frustum of a cone or pyramid made by a plane parallel to the base...