Rarities, Olde and Rare Logarithmic Calculators

This page contains slide rules that are very rare, hard to find or very expensive (greater than $200 USD). The kind that most collectors would love to obtain but cannot afford. Thanks to the members of the UK Slide Rule Circle and of the Oughtred Society for most of the scans provided in this gallery.

Napier's Bones (Rods)

Lord John Napier (latinized Nepero), Baron of Merchiston, Edinburgh, Scotland. Published the logarithm in 1614, after 20 years of developing the tables, which made it possible to perform multiplications and divisions by addition and subtraction and was the foundation for all future slide rule designs. Ex: a*b = 10^(log(a)+log(b)) and a/b = 10^(log(a)-log(b)). He created this calculating tool, which is easy to build out of square dowels.

Gunter's Scale

This is the predecessor of the modern slide rule. created by Edmund Gunter. A pair of dividers is used to measure a distance (the multiplicand and the multiplier) along the rule and add it to another distance, the multiplicand, forming the combined distance, the product, on the rule. The accuracy of an answer is limited by the length of the rule and the user's ability to resolve a number.
Gunter's Scale - Two Foot


Table of Trigonometry, from the 1728 Cyclopaedia,
Volume 2 featuring a Gunter's scale

Gunter's Scale - Two Foot - Circa Early 1800's
Made in UK - Made of Boxwood
Front Scales: RUM, CHO, SIN, TAN, S*T, SEC, RUM, M*L, CHO, 24 inch and decimal foot, 1/2 inch and 1 inch diagonal scales.
Back Scales: S*R, T*R, NUM, SIN, V*S, TAN, MER, E*P.
Note: This is the most common Gunter Scale, used for navigation
Archive - David M. Riches Collection (UK)


Gunter's Scale - One Foot
Gunter's Scale - One Foot - Circa Early 1800's
Made in UK - Made of Boxwood
Front Scales: (Left) RUM, CHO, SIN, TAN, S*T, (Center) SEC, (Right) S*R, T*R, NUM, SIN, V*S, TAN, MER, E*P, LEA, RUM, M*L, CHO.
Back Scales: 12 inch and decimal foot, 1/2 inch and 1 inch diagonal scales.
Note: The upper side has brass pins insert at the scale starts and some gauge points to protect the rule from the divider points at these frequently used places.
Archive - David M. Riches Collection (UK)

Sectors

Galileo Galilei (1564-1642) Popularized the sector at the very end of the 16th Century. The sector is a graduated ruler that uses trigonometric formulae and a caliper to calculate squares, cubes, reciprocals and tangents of numbers. Galileo's design of the sector as a mathematical tool can be seen as the moment when calculation aids cease to be based upon counting and instead exploit the deeper relationships among numbers. His invention is still in use as a navigation aid in the 20th century 300 years later.(ref: Oughtred Society) Sectors were frequently included in sets of drawing instruments in the eighteenth and nineteenth centuries until made obsolete by the slide rule. There are three types of scale on an English sector: sectoral ones (radiating from the hinge centre), which were used for calculation; plane scales (logarithms, sines, tangents) parallel to the edge; and rules (inches, tenths of feet). Most were six inches in length. Images from http://www.mathsinstruments.me.uk/



W&S Jones Sector
W&S Jones Sector
Made in UK by W&S Jones, No 135 Holburn, London, England
Ivory sector. William & Samuel Jones were at this address from 1792 to 1800. This is very typical of nineteenth century sectors, having scales for inches, decimal feet, lines of sines, tangents, equal parts, chords, numbers (log scales for multiplication), polygons, secants.
Archive - Image and comments donated by David M. Riches


French Sector
French Sector
Made in France. A brass sector dating from the eighteenth century with scales for line of equal parts, polygons, line of chords, metals, weights of shot and gun calibre. Unlike English sectors, which were used for general calculation, the French ones were generally intended for gunnery calculations.
Archive - Image and comments donated by David M. Riches


4-1/2 Inch Basswood Sector
4-1/2 Inch Basswood Sector
Made in UK dated from the nineteenth century. Sectors were made in various sizes, but most commonly by far in the six inch size. The smaller, 4 1/2 inch ones would have been made to go with small size instruments, probably a pocket set. The scales are the usual English ones.
Archive - Image and comments donated by David M. Riches


Elliot Brothers Ivory Sector
Elliot Brothers Ivory Sector
Made in UK by Elliott Bros, Strand, London dating from between 1854 and 1880. This is very typical of nineteenth century sectors, having scales for inches, decimal feet, lines of sines, tangents, equal parts, chords, numbers (log scales for multiplication), polygons, secants. It is a six inch size example.
Archive - Image donated by David M. Riches


K&E Thacher's Calculating Instrument



K&E 4012 Thacher's Calculating Instrument
K&E 4012 Thacher's Calculating Instrument
Made in USA - Designed by Edwin Thacher
Archive - Michael O'Leary Collection (USA)


F.C. Farmar 10 Glouster Terrace, Thorpe Bay, Essex, England



Farmar's Desk Size Gauging Rule
Farmar's Desk Size Gauging Rule
Made in England - Serial Number 8264
Front Scale (Guaging & Stocking): A [ B, C ] D, E, F
Back scale (Reducing): G [ H, I ] J, K, KK
Edges: Equations and Equivalents
Archive - Scan by Peter Fox, UK.

Froude



Froude's Slide Rule
Froude's Slide Rule
Made in England, Mfg by Stanley Great Turnstile, Holborn, London, England
Front Scale: K [ K, C ] D
Back scale: A [ B, C ] D
Edges: Equations and Equivalents
Archive - Scan by Peter Fox, UK.

Hannyngton



Hannyngton (Astronomical) Slide_Rule

John Caufield Hannyngton
(1807-1886)
Hannyngton (Astronomical) Slide_Rule
Made in England, Mfg by Aston-Mander
Size: 32 inchesa x 7.5 inches x 3/4 inch
Archive - Scan by Rod Lovette, UK.
Designed by Major-General John Caufield Hannyngton and is used in astronomical computations. Fellow of the Institute of Actuaries. His best known and largest work is a Table of Haversines, Natural and Logarithmic, used in computing distances for the Nautical Almanac.

Fuller



Fuller Rotary Calculator
Fuller Rotary Calculator
Made in United Kingdom - Designed by Prof. Fuller
Archive



Issac Aston, Maker



Issac Aston 4-Sided_Box Rule
Issac Aston 4-Sided_Box Rule
Made in UK by I. Aston Maker, 25 Old Compton Street, Soho, London c1860
Everard type made of boxwood
Side A: ? [ B ] D, on slide: { formula for cask volumes ]
Side B: SegST [ C ] SyS
Side C: A [ C ] D
Side D: Seg Ly [ B ] Sy, on slide: [ ?, Sp D, Variety]
Archive - Tom Dilatush Collection


Issac Aston Coggeshall
Issac Aston Coggeshall
Carpenter’s slide rule by Isaac Aston, London (working 1851-70), made of boxwood and brass with steel end caps. Isaac Aston (25 Old Compton Street, Soho, London) was succeeded by Aston & Mander. A two foot two-fold rule.
Archive - Tom Dilatush Collection

C. Mander



C. Mander Sliding Gauge Rule
C. Mander Sliding Gauge Rule
Made in UK, London
Front Scale: TBD
Back scale: TBD
Archive - UK Slide Rule Circle

Aston and Mander Makers



Aston And Mander Makers - Carter's Rivet Pitch Calculator
Aston And Mander Makers - Carter's Rivet Pitch Calculator
Made in UK, London
Front Scale: TBD
Back scale: TBD
Archive - UK Slide Rule Circle


Aston And Mander Makers- Dixon Style Slide Rule
Aston And Mander Makers - Dixon Style Slide Rule
Made in UK, 25 Compton ST, London
Front Scale: TBD
Back scale: TBD
Archive - UK Slide Rule Circle


Aston And Mander Makers - C. Hoare Slide Rule
Aston And Mander Makers - C. Hoare Slide Rule
Made in UK, 25 Compton ST, London
Front Scale: TBD
Back scale: TBD
Archive - UK Slide Rule Circle


Aston And Mander Makers - Ship Tonnage Calculator
Aston And Mander Makers - Ship Tonnage Calculator
Made in UK, for G.L. Watson Co.
Naval Architects and Surveyors
141 Sauchiehall Street, Glasgow
Front Scale: TBD
Back scale: TBD
Archive - UK Slide Rule Circle


Aston And Mander Makers - Timber And Brick Pricing Rule
Aston And Mander Makers - Timber And Brick Pricing Rule
Made in UK, 25 Compton ST, London
Front Scale: TBD
Back scale: TBD
Archive - UK Slide Rule Circle

T.C. Ballardie



T.C. Ballardie - Merchant Vessel Speed And Power Scale
T.C. Ballardie - Merchant Vessel Speed And Power Scale
Made in UK, by F. Robson &Co., 46 Dean Street, Newcastle on Tyne
Front Scale: TBD
Back scale: TBD
Archive - UK Slide Rule Circle

Dring and Fage



Dring And Fage - Brewers Slide Rule
Dring And Fage - Brewers Slide Rule
Made in UK
Front Scale: TBD
Back scale: TBD
Archive - UK Slide Rule Circle




Dring And Fage - Brewers Slide Rule Set
Dring And Fage - Brewers Proof Slide Rule Set
These ivory rules would have come from a Sikes Hydrometer case and are a Proof rule and a Comparative rule. Made in UK
Front Scale: TBD
Back scale: TBD

Loftus



Loftus - Brewers Slide Rule
Loftus - Brewers Slide Rule
Made in UK, London
Front Scale: TBD
Back scale: TBD
Archive - UK Slide Rule Circle

Roberts



Roberts - Everard Type Gaugers Rule
Roberts - Everard Type Gaugers Rule
Made in UK, London - Pre 1824
Scales: Wine and Ale Gallon Marks
Notes: The rather nice Roberts, London - Everard type rule has wine and ale gallon marks so is certainly pre 1824 and most likely second half eighteenth century as Roberts would either have been Edward Roberts (1) working 1749-84 or his son Edward Roberts (2) working 1788-96, both at Dove Court, Old Jewry, London. Ref. G C Clifton's Directory of British Scientific Instrument Makers p234. (per David M. Riches)
Archive - UK Slide Rule Circle

R.H. Smith



R.H. Smith Cylindrical Slide Rule
R.H. Smith Cylindrical Slide Rule
Helical scales
Made by J.H. Steward
Archive - Conrad Schure Collection

Gravet Lenoir



Gravet Lenoir
Gravet Lenoir - c1900
Made in France - 14 Rue Cassette, Paris
Front Scale
25cm // A [ B, B ] D || 25cm
Back Scale (Slide): [S, T, L ]
Well: 25-52cm
Archive - Clay Castleberry Collection

Tavenier - Gravet



Tavenier-Gravet
Tavenier-Gravet - c1900
Made in France- Rue Mayet 19, Paris
Front Scale
25cm // A, DF [ CF, CI, C ] D \\ 25cm
Back Scale (Slide): [S, L, T ]
Cursor: Brass Chisel Point
Archive - Rod Lovett Collection

J. Thomlinson Ltd.


Thomlinson's Equivalent Paper Slide Rule (Version 1)
Thomlinson's Equivalent Paper Slide Rule
Made in UK, J. Thomlinson Ltd. Publishers, Partick, Glasgow
Scales: 23in, A(Length) [ B(Breadth), Index ] C(area)[ D(Weight)] E(Standard Bulk Paper sizes L x W), Conversions
Archive - Scan donated by Peter Fox, UK
Thomlinson's Equivalent Paper Slide Rule (Version 2) Thomlinson's Equivalent Paper Slide Rule
Made in UK, J. Thomlinson Ltd. Publishers, Stanley Works, Partick, N.B.
Scales: A(Length) [ B(Breadth), Index ] C(area)[ D(Weight)] E(Standard Bulk Paper sizes L x W)
Note: Scales arranged by John Rennie
Archive - Scan donated by Peter Fox, UK

Vade Mecum



Vade Mecum Slide Rule
Vade Mecum Slide Rule
Designed Expressly for the timber Trade by George Bousfield, Grimsby. Patent 12806 Made in England
Front Scale: 2/16in scale || A [ B, 12-24in, C ] D || 0-12in
Back scale: E, F [ G, G, H(OPS)(PTS), I ] J, K
Archive - Scan by Clay Castleberry

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