Accession No

2088

Brief Description

slide rule, by A. W. Faber, German, 20th Century

Origin

Germany; Stein bei Nürnberg

Maker

A. W. Faber

Class

calculating

Earliest Date

1900

Latest Date

1970

Inscription Date

Material

wood; plastic (ivorine, perspex); metal (white metal)

Dimensions

length 299mm; breadth 43mm; thickness 14mm case length 310mm; breadth 45mm; thickness 18mm

Special Collection

Provenance

Donated by Grace Masters c/o A.F. Hoffler, England, 28/8/1975

Inscription

‘AW FABER CASTELL
STEIN bei Nürnberg’ (reverse)
‘“CASTELL” 1/54 A.W. FABER “CASTELL” Syst. Darmstadt’ (under slide)
‘A.W. FABER
CASTELL’ (case)

Description Notes

Wooden slide rule faced with ivorine. Perspex cursor bound in brass. One bevelled edge.
Obverse: Upper part of stock has triple radius log scale divided 1 - 1000, numbered 1, 2...10, 20...100, 200...1000. Also double radius log scale divided [0.79] - [128], numbered 0.8, 0.9, 1, 2, 3, π, 4, 5...10, 20...100, 120. This scale is repeated on the slide. Second scale on slide divided in reverse 0.9 - [11.2], numbered 0.9, 1...2, 3, π, 4, 5...11. Third scale on slide is identical to second but in opposite direction. This scale is also repeated on the lower part of the stock. Stock also carries scale divided 0 - 0.995, numbered 0, 0.2, 0.3...0.9, 0.91...0.99, 0.995 for x/√(1 - x2).
Reverse of slide carries scale for ex divided over 3 sections 1.01 - 105.
Under slide is scale of centimetres, divided [33] - [56.6], numbered by 1, subdivided to 0.1.
Bevelled edge carries centimetre scale divided 0 - 27, numbered by 1. Also scale marked ‘lg’, divided 0 - [1].0, numbered by 0.1.
Other edge carries scale of sins, divided 5.8 - 90, numbered 5.8, 6, 7...20, 25...40, 50...90; marked in other direction for cosine. Also scale of tangents, divided 5.8 - 45 and back to 80, numbered 5.8, 6, 7...020, 25...45, 50...70, 80.
Reverse carries instructions for use in German.
Card slip case covered with leather.

Condition good; complete.

References

Events

Description
The universal slide rule, developed in the 1620s, was a major development in mathematical computation. Based on the discovery of logarithms by Napier, slide rules use logarithmic scales to perform arithmetic calculations.
Designed by William Oughtred, slide rules existed in both straight and circular forms. The top and bottom of the device are fixed in place, while the middle section slides back and forth to complete calculations.
Engineers, technicians, scientists, and students all used slide rules on a daily basis, as they could easily be slipped into a pocket or briefcase. These devices remained in use until the introduction of electronic calculators in the 1970s.
In this case there are examples of both straight and circular slide rules. The circular slide ruler, made by Fowler’s Calculators, is a higher-end version of a slide rule calculator. If you look closely, the writing on the circular slide rule reads “Extra Long Scale Calculator”.

09/08/2024
Created by: Clare Rogowski on 09/08/2024

Description
Developed during the seventeenth century, the modern slide rule is based upon the design by William Oughtred (circa 1630). It is one of many calculation devices that is based on the logarithmic scale, a calculation method invented in 1614 by John Napier.

Before the rise of the pocket electronic calculator in the 1970s, the slide rule was the most common tool for calculation used in science and engineering. It was used for multiplication and division, and in some cases also for ‘scientific’ functions like trigonometry, roots and logs, but not usually for addition and subtraction.

A logarithm transforms the operations of multiplication and division to addition and subtraction according to the rules log(xy) = log(x) + log(y) and log(x/y) = log(x) - log(y). The slide rule places movable logarithmic scales side by side so that the logarithms of two numbers can be easily added or subtracted from one another. This much simplifies the alternative process of looking up logs in a table, thus greatly simplifying otherwise challenging multiplications and divisions. To multiply, for example, you place the start of the second scale at the log of the first number you are multiplying, then find the log of the second number you are multiplying on the second scale, and see what number it is next to on the first scale.

FM:42519