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Slide rule

technology Maturity 7-9 Next article →

A slide rule is a hand-operated mechanical calculator.

Sliderule.PickettN902T.agr
Sliderule.PickettN902T.agr

It functions as one of the simplest analog computers. This means it uses physical movement to perform mathematical operations. Users can perform multiplication, division, exponents, roots, logarithms, and trigonometry. While it resembles a standard ruler, it is not meant for measuring length. Instead, it uses specialized scales to process numbers. In the United States, people often call it a "slipstick."

The device operates using logarithmic scales. These scales contain precomputed outputs of various mathematical functions. This setup acts like a lookup table. By aligning the scales, the user maps an input to a result. The slide rule relies on logarithmic identities to simplify math. Specifically, these identities transform multiplication into addition. They also transform division into subtraction.

Slide Rule Duplex
Slide Rule Duplex

To multiply numbers, the user moves the scales to align them. For example, you position the top scale to start at the bottom scale's label. This shifts the top scale by a specific distance. Because of logarithmic laws, the mark on the bottom scale now shows the product.

Slide rule example2 with labels
Slide rule example2 with labels

For division, the user places one number over another. The resulting quotient is then read from the scale.

slide rule example4
slide rule example4

Users must often use scientific notation to track the decimal point. This helps keep track of the order of magnitude for large results.

Most slide rules consist of three primary components. The first part is the frame or base. This consists of two strips of the same length held parallel. The second part is a center strip that slides lengthwise. The third part is a cursor, also called a runner.

slide rule cursor
slide rule cursor

The cursor is an exterior sliding piece with a hairline. This hairline allows for accurate reading and alignment of numbers. Some models are "simplex," meaning they have scales on one side. "Duplex" models have scales on both sides of the rule. This allows for more complex calculations.

Scales on a slide rule are often organized into decades. A decade represents a range of numbers spanning a ratio of ten. For instance, the range from 1 to 10 is one decade. The range from 10 to 100 is a second decade. Scales can be single-decade, such as the C and D scales. They can also be double-decade, known as A and B scales. Triple-decade scales, called K, allow for finding cube roots. These different scales allow the tool to handle various mathematical powers.

History shows that the slide rule was a vital invention. The English mathematician Reverend William Oughtred developed it in the 17th century.

oughtred
oughtred

He based his work on the emerging logarithmic research of John Napier. Before digital tools, it was the most common calculation tool in science and engineering. Its use continued to grow through the 1950s and 1960s. This was true even after mainframe digital computers were introduced. The tool was popular because it was low-cost and easy to use.

Technological shifts eventually made the slide rule obsolete. In 1972, the HP-35 scientific calculator was introduced.

TI-30 LED
TI-30 LED

By the mid-1970s, these handheld calculators became inexpensive. This change caused the slide rule to fall out of common use. By the 1980s, personal desktop computers arrived.

IBM 150 Extra Engineers 1951
IBM 150 Extra Engineers 1951

Most people moved away from mechanical tools toward digital ones. However, the slide rule remains a significant part of scientific history.

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🖼️ Images & Media (19)
File:Sliderule.PickettN902T.agr.jpg
Sliderule.PickettN902T.agr.jpg
File:Slide rule-homemade teaching base 2.jpg
Slide rule-homemade teaching base 2.jpg
File:slide rule cursor.jpg
slide rule cursor.jpg
File:Slide rule example2 with labels.svg
Slide rule example2 with labels.svg
File:Slide Rule Duplex.svg
Slide Rule Duplex.svg
File:slide rule example4.svg
slide rule example4.svg
File:Pickett slide rule.jpg
Pickett slide rule.jpg
File:Slide rule scales front.jpg
Slide rule scales front.jpg
File:Slide rule scales back.jpg
Slide rule scales back.jpg
File:Cikk-skalak-r-en.gif
Cikk-skalak-r-en.gif
File:Teaching sliderule comparison.jpg
Teaching sliderule comparison.jpg
File:oughtred.jpg
oughtred.jpg

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