Accession No

0631


Brief Description

Gunter sector, 12-inch, by Jesse Ramsden, English, 4/4 18th Century


Origin

England; London


Maker

Ramsden, Jesse


Class

calculating; mathematics


Earliest Date

1775


Latest Date

1800


Inscription Date


Material

metal (brass)


Dimensions

length 326mm; breadth 82mm; thickness 6mm box length 345mm; breadth 109mm; height 26mm


Special Collection

Robert Whipple collection


Provenance

Purchased from T.H. Court on 05/11/1930.


Inscription

‘Ramsden
London’ (obverse)


Description Notes

Gunter sector, 12-inch, by Jesse Ramsden, 4/4 18th C

12-inch brass sector with folding friction leaf.
On the recto double scales of: ‘Lin’ (line of lines or equal parts) divided [0] - 10, numbered by 1, subdivided to 0.02; ‘Sec’ divided [0] - [75˚ 30´], numbered by 10 (and 75˚ marked), 0 - 10˚ subdivided to 5˚, 10˚ - 20˚ subdivided to 2˚, 20˚ - 30˚ subdivided to 1˚, 30˚ - 50˚ subdivided to 30´, 50˚ - 75˚ 30´ subdivided to 15´; ‘Cho’ divided [0] - 60˚, numbered by 10˚, subdivided to 15´; ‘POL’ (polygons) divided 12 - 4, numbered by 1. On the upper limb single scales of: ‘In. Me.’ (inclined meridian) divided [0] - 90˚, numbered by 10˚, subdivided to 1˚; ‘Cho.’ divided [0] - 90˚, numbered by 10˚, subdivided to 1˚; ‘Sin.’ divided [0] - 90˚, numbered by 10˚, 0 - 85˚ subdivided to 1˚. On the lower limb single scales of: ‘Tan.’, divided [0] - 45˚, numbered by 10˚, subdivided to 1˚; ‘Lat.’, divided [0] - 90˚, numbered by 10˚, 0 - 80˚ subdivided to 1˚, 80˚ - 90˚ subdivided to 5˚; ‘Hou.’ divided [0] - VI, numbered by I, subdivided to 5 minutes; ‘Cho’ divided 0 - 180˚, numbered by 10˚, 0 - 110˚ subdivided to 30´, 110˚ - 160˚ subdivided to 1˚, 160˚ - 170˚ subdivided to 2˚, 170˚ - 180˚ subdivided to 5˚. On the fully opened limbs, single scales of: [0] - [24] inches, numbered by 1, subdivided to 0.05; decimal foot divided [0] - 100, numbered by 10, subdivided to 0.5.
On the verso, double scales of: ‘Sin.’, divided [0] - 90˚, numbered by 10˚, 0 - 70˚ subdivided to 15´, 70˚ - 80˚ subdivided to 30´, 80˚ - 90˚ subdivided to 1˚; ‘tan’ divided 45˚ - [75˚ 45´], numbered by 10˚ (and for 75˚), subdivided to 15´; ‘Tan’ divided [0] - 45˚, numbered by 10˚, subdivided to 15´. On the upper limb single scale of ‘Rum.’, divided [0] - 8, numbered by 1, divided to 0.25.
On the lower limb single scale of ‘Lon.’, divided [0] - 60˚, numbered by 10˚, subdivided to 1˚. On the fully opened limbs single scales of: ‘Tan.’ (log tangents), divided [10´] - 45˚, numbered 1, 2...10, 20, 30, 40, 45, 10´ - 10˚ subdivided to 10´, 10˚ - 45˚ subdivided to 15´; ‘Sines’ (log sines) divided [10´] - 90˚, numbered 1, 2...10, 20...90, 10´- 10˚ subdivided to 10´, 10˚ - 40˚ subdivided to 15´, 40˚ - 60˚ subdivided to 30´, 60˚ - 80˚ subdivided to 1˚, 80˚ - 90˚ subdivided to 5˚; ‘V. Sines’ (log versed sines) divided [0] - [168˚ 30´], numbered by 10˚, 10˚ - 20˚ subdivided to 2˚, 20˚ - 90˚ subdivided to 1˚, 90˚ - 120˚ subdivided to 30´, 120˚ - end subdivided to 15´; ‘Num.’ (log numbers) divided 1 - 10[0], numbered 1, 2..9, 1, 2...10, 1 - 5 subdivided to 0.02, 5 - 1[0] subdivided to 0.05, 1[0] - 5[0] subdivided to 0.1, 5[0] - 10[0] subdivided to 1.
Friction leaf carries scratched name: ‘N. Grafton’ (owner ?)

Condition good; complete


References


Events

Description
Sector
Sectors were used for calculation by navigators, surveyors, gunners and draftsmen (and, famously, by Galileo) from the about the mid 16th century to the mid 19th century. During the 16th century, they were used as general mathematical tools, but the introduction of logarithms drastically expanded their application. Usually made of brass, wood or ivory, they look like a jointed rule with scales engraved on either side.

Sectors use the principle of similar triangles (that the ratio of lengths of two sides of similar triangles will always be the same) with scales of proportion for calculating mathematical functions such as finding the line of equal parts, inscribing a rectangular polygon inside a circle of a given radius and protracting angles. This made them useful for similar calculations to a slide rule.

18/10/2002
Created by: Saffron Clackson on 18/10/2002


FM:39546

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