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
_To Find the Cube of a Number._—The marks II. and III. on D divide that
scale into three equal sections. If the number to be cubed is in the
first section, I. on C is set to it; if in the second section, II. on C
is set to it; if in the third section, III. on C is set to it. Then,
under the index mark on the back of the slide will be found the
significant figures of the cube on the scale F. If I. on C was used for
the setting, the cube contains 1 digit; if II. was used, 2 digits; if
III. was used, 3 digits. If the first figure of the number to be cubed
is not in the units place, the decimal point is moved through _n_ places
so as to bring the first significant figure into the units place, the
cube found as above, and the decimal point moved in the _reverse
direction_ through 3_n_ places.
_To Find the Cube Root of a Number._—The index mark is set to the
significant figures of the number on scale F, and the cube root is read
on D under I., II. or III. on C, according as the number has 1, 2 or 3
digits preceding the decimal point. Numbers which have 1, 2 or 3 figures
preceding the decimal point are dealt with directly. Numbers of any
other form are brought to one of the above forms by moving the decimal
point 3 places (or such multiple of 3 places as may be required), the
root found and its decimal point moved 1 place for each 3-place
movement, but in the _reverse direction_.
THE “ELECTRO” SLIDE RULE.—In this special rule for electrical
calculations, made by Mr. A. Nestler, the upper scales run from 0·1 to
1000, and are marked “Amp.” and “sq. mm.” respectively. The lower scale
on the slide running from 1 to 10,000 is marked M (metres), while the
lower scale on the rule (0·1 to 100) is marked “Volt.” The latter scale
is so displaced that 10 on M agrees with 0·173 on the Volt scale. The
four factors involved are the current strength (in Amp.); the area of a
conductor (in sq. mm.); the length of the conductor (in metres); and the
permissible loss of potential (in volts). Having given any three of
these, the fourth can be found very readily. On the back of the slide
are a scale of squares, a scale of cubes and a single scale
corresponding to the D scale of an ordinary rule. Hence, by reversing
the slide, it is possible to obtain the 2nd, 3rd and 4th powers and
roots of numbers. In another form of the rule, the scale of metres is
replaced by one of yards, while instead of the area of the conductor in
sq. mm., the corresponding “gauge” sizes of wires are given.
Public-domain text, read in full here on John Shaqi.
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