Elements of applied mathematics - Softcover

Cobb, Herbert E.

 
9781152891999: Elements of applied mathematics

Synopsis

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1911 Excerpt: ...lb. CHAPTER XI THE SLIDE RULE 75. Use of the slide rule. In ordinary practical work it is usual to make measurements and carry results in computations only to three or four significant figures. With the slide rule multiplications and divisions can be performed mechanically to the degree of accuracy required in this work. The slide rule is widely used in technical schools and in shops and laboratories where there is a large amount of computation. It serves as a check upon the numerical solution of problems, and should be used by engineering students. 76. Description of the slide rule. The slide rule is simply a table of logarithms arranged in such a way that they can be added and subtracted conveniently. The logarithms are not printed on the slide rule, but each number on it stands in the position indicated by its logarithm. In Fig. 54 BC is the slide, graduated on the upper and on the lower edges. These graduations were made in the following manner: CC was divided into 1000 equal parts; log 2 =.301, therefore 2 was placed at Cardboard slide rules ready for the student to cut and fit together may be obtained of the Central Scientific Company, Chicago, at $1.10 per dozen. the 301st graduation; log 3 =.477, therefore 3 was placed at the 477th graduation; and so on for all the integers from 1 to 1000. To read the numbers from 1 to 1000 we must go over the rule from left to right three times. Thus we read first 1, 2, 3,.., 10; then beginning at 1 again and calling it 10, we read 10, 20, 30,, 100; then beginning at 1 again and calling it 100, we read 100, 200, 300,., 1000. 77. Operations with the slide rule. It is not difficult to learn to use the slide rule if at first the operations are performed with small numbers. Whenever in doubt about any operation perform...

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