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Instruction for Using a Slide Rule By: W. Stanley |
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Conventional mathematical notation requires specialized fonts and
typesetting conventions. I have adopted modern computer programming
notation using only ASCII characters. The square root of 9 is thus
rendered as square root(9) and the square of 9 is square(9).
10 divided by 5 is (10/5) and 10 multiplied by 5 is (10 5 ). The DOC file and TXT files otherwise closely approximate the original
text. There are two versions of the HTML files, one closely
approximating the original, and a second with images of the slide rule
settings for each example. By the time I finished engineering school in 1963, the slide rule was a
well worn tool of my trade. I did not use an electronic calculator for
another ten years. Consider that my predecessors had little else to
use think Boulder Dam (with all its electrical, mechanical and
construction calculations). Rather than dealing with elaborate rules for positioning the decimal
point, I was taught to first "scale" the factors and deal with the
decimal position separately. For example: 1230 .000093 =
1.23E3 9.3E 5
1.23E3 means multiply 1.23 by 10 to the power 3.
9.3E 5 means multiply 9.3 by 0.1 to the power 5 or 10 to the power 5.
The computation is thus
1.23 9.3 1E3 1E 5
The exponents are simply added.
1.23 9.3 1E 2 =
11.4 1E 2 =
.114 When taking roots, divide the exponent by the root.
The square root of 1E6 is 1E3
The cube root of 1E12 is 1E4. When taking powers, multiply the exponent by the power.
The cube of 1E5 is 1E15. [End Transcriber's Notes] INSTRUCTIONS
for using a
SLIDE
RULE
SAVE TIME!
DO THE FOLLOWING INSTANTLY WITHOUT PAPER AND PENCIL
MULTIPLICATION
DIVISION
RECIPROCAL VALUES
SQUARES & CUBES
EXTRACTION OF SQUARE ROOT
EXTRACTION OF CUBE ROOT
DIAMETER OR AREA OF CIRCLE
[Illustration: Two images of a slide rule.] INSTRUCTIONS FOR USING A SLIDE RULE The slide rule is a device for easily and quickly multiplying, dividing
and extracting square root and cube root. It will also perform any
combination of these processes. On this account, it is found extremely
useful by students and teachers in schools and colleges, by engineers,
architects, draftsmen, surveyors, chemists, and many others. Accountants
and clerks find it very helpful when approximate calculations must be
made rapidly. The operation of a slide rule is extremely easy, and it is
well worth while for anyone who is called upon to do much numerical
calculation to learn to use one. It is the purpose of this manual to
explain the operation in such a way that a person who has never before
used a slide rule may teach himself to do so.
DESCRIPTION OF SLIDE RULE The slide rule consists of three parts (see figure 1). B is the body of
the rule and carries three scales marked A, D and K. S is the slider
which moves relative to the body and also carries three scales marked B,
CI and C. R is the runner or indicator and is marked in the center with
a hair line. The scales A and B are identical and are used in problems
involving square root. Scales C and D are also identical and are used
for multiplication and division. Scale K is for finding cube root. Scale
CI, or C inverse, is like scale C except that it is laid off from right
to left instead of from left to right. It is useful in problems
involving reciprocals.
MULTIPLICATION We will start with a very simple example: Example 1: 2 3 = 6 To prove this on the slide rule, move the slider so that the 1 at the
left hand end of the C scale is directly over the large 2 on the D scale
(see figure 1). Then move the runner till the hair line is over 3 on the
C scale. Read the answer, 6, on the D scale under the hair line. Now,
let us consider a more complicated example: Example 2: 2.12 3.16 = 6.70 As before, set the 1 at the left hand end of the C scale, which we will
call the left hand index of the C scale, over 2.12 on the D scale (See
figure 2). The hair line of the runner is now placed over 3.16 on the C
scale and the answer, 6... Continue reading book >>
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