Accession No

2251


Brief Description

gauging slide rule, Leadbetter type, by I. L., English, 1767


Origin

England


Maker

I. L.


Class

calculating


Earliest Date

1767


Latest Date

1767


Inscription Date

1767


Material

wood (boxwood); metal (brass)


Dimensions

length 304mm; breadth 27mm; thickness 18mm


Special Collection


Provenance

Purchased from Turner and Devereux, London, 28/5/1976, who purchased it in Christie’s sale of clocks and instruments, 26/5/1976, Lot 16. Purchased with assistance a Grant-in-Aid administered through the Science Museum (PRISM).


Inscription

‘*I:L: 1767*’ (underneath slide on face B)


Description Notes

Face A, upper stock: single radius logarithmic scale marked ‘root’ and ‘d’ divided 1 - 10 numbered by 1; 1 -2 subdivided to 0.01, 2 - 3 subdivided to 0.02, 3 - 10 subdivided to 0.05. Brass studs marking gauge points for ‘WG’ (wine gallons), ‘AG’ (ale gallons), ‘MS’ (square malt bushels) and ‘MR’ (round malt bushel). Lower stock has triple radius logarithmic scale marked ‘cube’ and ‘E’ divided 1 - 1000 numbered 1, 2 ... 10, 2[0], 3[0], 100, 2[00], 3[00] ... 1000; 1 - 3 subdivided to 0.05, 3 - 8 subdivided to 0.1, 8 - 10 subdivided to 0.2, 10 - 30 subdivided to 0.5, 30 - 80 subdivided to 1, 80 - 100 subdivided to 2, 100 - 300 subdivided to 5, 300 - 800 subdivided to 10, 800 - 1000 subdivided to 20.

On the slider a scale marked ‘square’ and ‘C’ divided 1 - 10[0] numbered 1, 2, 3 ... 9, 1[0], 2[0] ... 10[0]; 1 - 2 subdivided to 0.02, 2 - 5 subdivided to 0.05, 5 - 10 subdivided to 0.1, 10 - 20 subdivided to 0.2, 20 - 50 subdivided to 0.05, 50 - 100 subdivided to 1. Also scale marked ‘root’ and ‘D’ divided as for scale on the upper stock.
Reverse of slider carries a scale of inches divided [24] - 36 numbered by 1 subdivided to 0.1 and scale of ‘gallons’ divided [1.6] - 3.6 numbered by 0.1 subdivided to 0.02.

Face B:
log scale divided 1 - 10[0] numbered 1, 2, 3 ... 1[0], 2[0] ... 10[0]; 1 - 2 subdivided to 0.02, 2 - 5 subdivided to 0.05, 5 - 10 subdivided to 1, 10 - 20 subdivided to 0.2, 20 - 50 subdivided to 0.5, 50 - 100 subdivided to 1. This line appears on the stock marked ‘A’ and twice on the slider marked ‘B’ and ‘Num’.
Brass gauge points inlet twice on scale A at ‘MB’ (for malt bushel), and ‘A’ for (ale gallon); points marked on scale B at ‘W’ (wine gallon).
On the stock a further log scale inverted divided [2.15] - [215] numbered and subdivided as before and marked ‘MD’ (malt depth).
Verso of slide calibrated with scale of inches divided [13] - [24.5] numbered by 1 subdivided to 0.1 with corresponding calibration [0.475] - [1.65] numbered by 0.1G subdivided to 0.01 (for gallons in an inch deep tub of that diameter)

Side A:
On the stock ullaging scales of segments ‘S:L’ (cask lying) and ‘S:S’ (cask standing) divided 1 - 100 numbered 1, 2, 3 ... 10, 20, 30 ...100; 1 - 5 subdivided to 0.1, 5 - 10 subdivided to 0.02, 10 - 100 subdivided to 1. Slide carries scale divided 1 - 10[0] numbered 1, 2 ... 1[0], 2[0] ... 10[0]; 1 - 10 subdivided to 0.1, 10 - 20 subdivided to 0.2, 20 - 50 subdivided to 0.5, 50 -100 subdivided to 1.

Side B:
scale of inches divided [0] - 12 numbered by 1 subdivided to 0.1.
Scale of ‘Spheroid’ divided [0] - [7.5] numbered by 1 subdivided to 0.1
Scale of ‘2d Variety’ divided [0] - [6.5] numbered by 1 subdivided to 0.1
Scale of ‘3d Variety’ divided [0] - [5.5] numbered by 1 subdivided to 0.1

Condition good (one corner splitting); 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:39566

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