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, 6.70, read on the D scale.
METHOD OF MAKING SETTINGS
In order to understand just why 2.12 is set where it is (figure 2),
notice that the interval from 2 to 3 is divided into 10 large or major
divisions, each of which is, of course, equal to one-tenth (0.1) of the
amount represented by the whole interval. The major divisions are in
turn divided into 5 small or minor divisions, each of which is one-fifth
or two-tenths (0.2) of the major division, that is 0.02 of the
whole interval. Therefore, the index is set above
2 + 1 major division + 1 minor division = 2 + 0.1 + 0.02 = 2.12.
In the same way we find 3.16 on the C scale. While we are on this
subject, notice that in the interval from 1 to 2 the major divisions are
marked with the small figures 1 to 9 and the minor divisions are 0.1 of
the major divisions. In the intervals from 2 to 3 and 3 to 4 the minor
divisions are 0.2 of the major divisions, and for the rest of the D (or
C) scale, the minor divisions are 0.5 of the major divisions.
Public-domain text, read in full here on John Shaqi.
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