Accession No

2311


Brief Description

proofing slide rule for use with hydrometer, by J. Dicas, English, 1790 (c)


Origin

England; Liverpool


Maker

Dicas, J.


Class

calculating


Earliest Date

1790


Latest Date

1790


Inscription Date


Material

wood (boxwood); metal (brass)


Dimensions

length 309mm; breadth 41mm; thickness 8m


Special Collection


Provenance

Purchased from Peter Delehar, 05/1977.


Inscription

‘DICAS PATENTEE LIVERPOOL’ (obverse)


Description Notes

Boxwood slide rule with brass bound ends.
Obverse: upper part of stock has scale marked ‘A’, divided [3.2] - 26, numbered by 1, subdivided to 0.1. Slide has two identical scales of per cent over and under proof, divided 80 - PROOF [0] - 70, numbered by 10, subdivided to 1. Lower part of stock has scale marked ‘B’, divided [41] - [320], numbered 50, 60...200, 250, 300.
Reverse: upper part of stock has scale marked ‘C’, divided 40 - 300, numbered 40, 50...200, 250, 300. Slide has two identical scales of per cent over and under proof as on obverse. Lower part of stock has scale marked ‘C’, divided 20 - 150, numbered by 10, subdivided to 1.

Condition good; complete.


References


Events

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:42514

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