The slide rule : $b a practical manual — John Shaqi
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
Practise reading values by setting 1 on C to some value on D and reading
under 2, 3, 4, etc., on C, checking the readings by mental arithmetic.
To the same end, find squares, square roots, etc., comparing the results
with the actual values as given in tables. Practise setting both slide
and cursor to values taken at random. Aim at accuracy; speed will come
with practice.
When in doubt as to any method of working, verify by making a simple
calculation of the same form.
Follow the orthodox methods of working until entirely confident in the
use of the instrument, and even then do not readily make a change. If
any altered procedure is adopted, first work a simple case and guard
carefully against unconsciously lapsing into the usual method during the
operation.
Unless the calculation is of a straightforward character, time taken in
considering how best to attack it (rearranging the expression if
desirable) is generally time well spent.
In setting two values together, set the cursor to one of them on the
rule, and bring the other, on the slide, to the cursor line.
In multiplying factors, as 57 × 0·1256, take the fractional value first.
It is easier to set 1 on C to 1256 on D and read under 57 on C, than to
reverse the procedure. When both values are eye-estimated, set the
cursor to the second factor on C and read the result on D, under the
cursor line.
In continuous operations avoid moving the slide further than necessary,
by taking the factors in that order which will keep the scale readings
as close together as possible.
SQUARES AND SQUARE ROOTS.
We have seen that the relation which the upper scales bear to the lower
set is such that over any number on D is its square on A, and,
conversely, under any number on A is its square root on D, the same
remarks applying to the C and B scales on the slide. Taking the values
engraved on the rule, we have on D, numbers lying between 1 and 10, and
on A the corresponding squares extending from 1 to 100. Hence the
squares of numbers between 1 and 10, or the roots of numbers between 1
and 100, can be read off on the rule by the aid of the cursor. All other
cases are brought within these ranges of values by factorising with
powers of 10, as before explained.
The more practical rule is the following:—
_To Find the Square of a Number_, set the cursor to the number on D and
read the required square on A under the cursor. The rule for
_The Number of Digits in a Square_ is easily deducible from the rule for
multiplication. If the square is read on the _left_ scale of A, it will
contain _twice_ the number of digits in the original number _less_ 1; if
it is read on the _right_ scale of A, it will contain _twice_ the number
of digits in the original number.
EX.—Find the square of 114.
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