The slide rule : $b a practical manualPickworth, Charles N. (Charles Newton)
Science
The slide rule : $b a practical manual
Pickworth, Charles N. (Charles Newton)
Slide-rule
Another commendable feature of the Beghin rule is the presence of a
reversed C scale in the centre of the slide, thus enabling such
calculations as _a_ × _b_ × _c_ to be made with one setting of the
slide. On the back of the slide are three scales, the lowest of which,
used with the D scale, is a scale of squares (corresponding to the
ordinary B scale), while on the upper edge is a scale of sines from 5°
44′ to 90°, and in the centre, a scale of tangents from 5° 43′ to 45°.
On the square edge of the stock, under the cursor groove, is the
logarithm scale, while on the same edge, above the cursor groove, are a
series of gauge points. All these values are referred to the face scales
by index marks on the cursor.
THE ANDERSON SLIDE RULE.—The principle of dividing a long scale into
sections as in the Precision rule, has been extended in the Anderson
slide rule made by Messrs. Casella & Co., London, and shown in Fig. 17.
In this the slide carries a scale in four sections, used in conjunction
with an exactly similar set of scale-lines in the upper part of the
stock. On the lower part of the stock is a scale in eight sections
giving the square roots of the upper values. In order to set the index
of the slide to values in the stock, two indices of transparent
celluloid are fixed to the slide extending over the face of the rule as
shown in the illustration. As each scale section is 30 cm. in length,
the upper lines correspond to a single scale of nearly 4 ft., and the
lower set to one of nearly 8 ft. in length, giving a correspondingly
large increase in the number of subdivisions of these scales, and
consequently much greater accuracy.
In order to decide upon which line a result is to be found, sets of
“line numbers” are marked at each end of the rule and slide and also on
the metal frame of the cursor. In multiplication, the line number of the
product is the sum of the line numbers of the factors if the left index
is used, or 1 more than this sum if the right index is used. The
illustration shows the multiplication of 2 by 4. The left index is set
to 2 (line number, 1), and the cursor set to 4 on the slide (line
number, 2); hence, as the left index is used, the result is found on
line No. 3. Similar rules are readily established for division. The
column of line numbers headed 0 is used for units, that headed 4 for
tens, and so on; one column is given for tenths, headed −4. The square
root scale bears similar line numbers, so that the square root of any
value on the upper scales is found on the correspondingly figured line
below.
[Illustration: FIG. 17.]
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