Accession No
1018
Brief Description
gunter sector, workshop of Elias Allen, English, second quarter 17th century
Origin
England; London; The Strand
Maker
Workshop of Elias Allen
Class
calculating; mathematics
Earliest Date
1625
Latest Date
1650
Inscription Date
Material
metal (brass)
Dimensions
length 248mm; breadth 55mm
Special Collection
Trinity College collection
Provenance
On loan from Trinity College, University of Cambridge from 1951.
Inscription
‘Trin: Coll: Cant: EX DONO THO: SCATTERGOOD Arm’
Description Notes
Brass sector consisting of two arms joined by flat circular hinge; friction strut which also acts as indicator for dialling scale.
Obverse: various scales which appear on both arms. None of the scales are named.
(1) line of inscribed bodies, marked D, S, I, C, O, T.
(2) line of lines, divided [0] - 10, numbered by 1, subdivided to 0.5, to 0.1 and to 0.05.
(3) line of metals, combined with line of equated bodies, marked D, I, C, S, O, [gold], [mercury], [tin], [silver], [copper], [iron], [lead], T.
(4) line of solids, divided [0] - 10[00], numbered 1, 1[0], 1[00], 2[00],…10[00]. 1 - 1[0] subdivided to 5 and to 1. 1[0] - [50] subdivided to 10, to 5 and to 1. [50] - 1[00] subdivided to 10 and to 2. 1[00] - 10[00] subdivided to 50, to 10 and to 5.
Along the outer edges is a scale which is continuous when the sector is fully opened out. This is a scale of meridional parts, divided [0] - [85˚ 30´], numbered by 10˚, subdivided to 5˚, to 1˚ and to 15´ (rather worn).
Reverse: various scales which appear on both arms (none of them named).
(1) line of quadrature, marked 10, 9, 8, 7, S, 6, 5, 90, Q.
(2) line of sines, divided [0] - 90˚, numbered by 10˚, subdivided to 5˚, [0] - 80˚ subdivided to 1˚ and to 30´; 80˚ - 85˚ subdivided to 5˚.
(3) line of segments, divided 5 - 10, numbered by 1, subdivided to 0.5 and to 0.1.
(4) line of superficies, divided 1 - 10[0], numbered 1, 1[0], 2[0]…10[0]; subdivided to 5, to 1 and to 0.5.
Along upper arm is a line of secants, divided 10 - [58˚], numbered by 10˚, subdivided to 5˚ and to 1˚.
Along both arms forming a continuous scale when the sector is fully open is a line of tangents, divided [0] - [63˚], numbered by 10˚, subdivided to 5˚, to 1˚ and to 15´ (rather worn).
On outer edge of arm which does not hold friction strut is a line of lesser tangents, divided [0] - [76˚], numbered by 10˚, subdivided to 5˚ and to 1˚.
The outer edge of the other arm carries a line of inches divided [0] - 9, numbered 2, 3, 4…9.
good condition (slight wear and tarnishing); complete
Attributed to Elias Allen’s workshop on the basis of the style of engraving.
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:40253
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