Accession No

1927


Brief Description

slide rule, by Nairne and Blunt, English, 1785 (c)


Origin

England; London


Maker

Nairne and Blunt


Class

calculating


Earliest Date

1785


Latest Date

1785


Inscription Date


Material

wood (boxwood); metal (brass)


Dimensions

length 830mm; breadth 65mm; thickness 20mm


Special Collection

Cavendish collection


Provenance

Transferred from the Cavendish Laboratory, University of Cambridge in 07/1974.


Inscription

‘Nairne
& Blunt’ (cursor)


Description Notes

Boxwood rule, ends of stock bound with brass, brass slow motion screw for fine adjustment of slide, brass cursor engraved with names of scales.
Obverse:
upper part of stock: scales of sine rhumbs marked ‘Sin Rum’ and ‘S.R.’, divided 1 - 8, numbered by 1, 1 - 8 subdivided to 1/8, 7 - 8 subdivided to 0.5. Scale of tangent rumbs, marked ‘Tan Rum’ and ‘T.R.’ divided 17 - 4[0], numbered 17, 26, 35, 4[0]; each section between numbers subdivided to 1/8. Scale of versed sines marked ‘Ver. Sin’ and ‘V Sin’, divided [168˚ 30´] - [0], numbered by 10˚ and for 165˚; 168˚ 30´ - 150˚ subdivided to 10´, 150˚ - 130˚ subdivided to 15´, 130˚ - 100˚ subdivided to 20´, 100˚ - 60˚ subdivided to 30´, 60˚ - 10˚ subdivided to 1˚. Scale of sines marked ‘Sin’, divided [40´] - 90˚, numbered 1, 2, 3...10, 20...90; 40´ - 20˚ subdivided to 10´, 20˚ - 30˚ subdivided to 15´, 30˚ - 50˚ subdivided to 20´, 50˚ - 60˚ subdivided to 30´, 60˚ - 85˚ subdivided to 1˚.
Slide: scale of sines, as on stock. Scale of numbers marked ‘Num’, divided 1 - 10[0], numbered 1, 2, 3...1[0], 12, 15, 2[0], 3[0]...10[0]; 1 - 2 subdivided to 0.01, 2 - 4 subdivided to 0.02, 4 - 7 subdivided to 0.025, 7 - 10 subdivided to 0.05, 10 - 20 subdivided to 0.1, 20 - 40 subdivided to 0.2, 40 - 70 subdivided to 0.25, 70 - 100 subdivided to 0.5. Scale of tangents marked ‘Tan’ divided [40´] - 45˚ and back to [89˚ 20´], numbered 1, 2...10, 20, 30, 40, 45, 50, 55, 60, 70, 80; 40´ - 10˚ subdivided to 10´, 10˚ - 45˚ subdivided to 15´.
Lower part of stock: scales of tangents and numbers as on slide. Scale of meridian degrees, marked ‘D Mer’ divided [0] - 50, numbered by 1, subdivided to 0.1. Second scale of meridian degrees marked ‘Mer Con’ and ‘M D’, divided 50 - [75], numbered by 1, subdivided to 0.1. Scale of degrees of longitude marked ‘D L’, divided [0] - 58˚, numbered by 1˚, subdivided to 0.1.

Reverse: scale of inches divided [0] - [30], numbered by 1, subdivided to 0.1. Scale of ‘Sea Feet’ divided 0 - 2ft 1inch, numbered by 1 inch. Scales of equal parts of an inch, marked for 10, 12 1/2, 15, 20, 25, 30, 35, 40, 45 and 50. Scale of hours marked ‘Hou’ divided [0] - VI, numbered by I, subdivided to 10 minutes. Scale of latitudes marked ‘Lat’ divided [0] - [90˚], numbered by 10˚, 0 - 70˚ subdivided to 1˚, 70˚ - 80˚ subdivided to 2˚. Scale of inclined meridian, marked ‘In Mer’, divided [0] - 90˚, numbered by 10˚, subdivided to 1˚. Two scales of rumbs marked ‘Rum’, divided [0] - 8, numbered by 1, subdivided to 0.25. Scale of meridian longitude, marked ‘M= Lon’, divided 60˚ - [0], numbered by 10˚, subdivided to 1˚. Three scaes of chords, marked ‘Cho’, divided [0] - 90˚, numbered by 10˚, subdivided to 1˚. Scale of Sines marked ‘Sin’, divided [0] - [90˚], numbered by 10˚ to 70˚; 0 - 70˚ subdivided to 1˚, 70˚ - 80˚ subdivided to 2˚, 80˚ - 90˚ subdivided to 5˚. Scale of secants marked ‘Sec’, divided 10 - [80˚ 50´], numbered by 10 and for 75˚; 10˚ - 20˚ subdivided to 2˚, 20˚ - 50˚ subdivided to 1˚, 50˚ - 60˚ subdivided to 30´, 60˚ - 80˚ subdivided to 15´, remainder subdivided to 10´. Scale of tangents, marked ‘Tan’, divided [0] - [81˚], numbered 10, 20, 30, 40, 50, 60, 65, 70, 75, 80; 0 - 40˚ subdivided to 1˚, 40˚ - 60˚ subdivided to 30´, 60˚ - 80˚ subdivided to 15´, remainder subdivided to 10´. Scale of semitangents marked ‘S Tan’ uses same divisions as scale of tangents, but all numbers are doubled.

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:42156

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