Abbott, W.J.

A Manual of the Decimal System for the Use of Jewelers etc.

London, J.&R. Maxwell


Title page loose

ID: #B1566.01




Les Intégraphes

Paris, Gauthier-Villars


Poor condition

ID#: B1551.01 (marked B187.87 and B395.87)



The integraph is a noteworthy development in the history of calculating instruments. While the principle on which it is based was introduced by Coriolis in 1836, it was in 1878 that Abdank-Abakanowitz first developed a practical working model. The integraph is an elaboration and extension of the planimeter, an earlier, simpler instrument used to measure area. It is a mechanical instrument capable of deriving the integral curve corresponding to a given curve. Hence, it is capable of solving graphically a simple differential equation.


Sets of partial differential equations are commonly encountered in mathematical physics. Most branches of physics such as aerodynamics, electricity, acoustics, plasma physics, electron-physics and nuclear energy involve complex flows, motions and rates of change which maybe described mathematically by partial differential equations. A well-established example from electromagnetics is the set of partial differential equations known as Maxwell's equations.


In practice, differential equations can be difficult to integrate, that is to solve. The integraph is capable of solving only simple differential equations. The need to handle sets of more complex non-linear differential equations, led Vannevar Bush to develop the Differential Analyzer at MIT in the early 1930s. In turn, limitations in speed, capacity and accuracy of the Bush Differential Analyzer provided the impetus for the development of the ENIAC during World War II.


Abdank-Abakanowicz’s instrument could produce solutions to a commonly encountered class of simple differential equations of the form dy/dx = F(x) so that y = ò F(x)dx. The basic approach was to draw a graph of the function F and then use the pointer on the device to trace the contour of the function. The value of the integral could then be read from the dials. The concept of the instrument was taken up and soon put into production by such well known instrument makers as the Swiss firm of Coradi in Zurich.

Adler, A.

Fünfstellige Logarithmen



ID#: B1617.01


Ainslie, John

The Gentlemen and Farmer's Pocket Companion and Assistant

Edinburgh, J. Brown


ID#: B1619.01


Archibald, Raymond Clare

Mathematical Table Makers

The Scripta Mathematica Studies #3


Good condition

ID#: B1568.01


Raymond Clare Archibald was born in Nova Scotia, Canada, and attended university there, studying both mathematics and violin. After further study at Harvard and Berlin, he earned his doctorate in mathematics at Strassburg. Becoming professor of mathematics at Brown University in 1908, he remained there until retirement. R.C.A., as he was known to many, was the last chairman of the Committee on Mathematical Tables and Other Aids to Computation (1939-1949), and the founder and editor of the journal Mathematical tables and other aids to computation (MTAC).


This volume is a collection of biographies and bibliographies of mathematical tables makers. It originally appeared, less three entries, in Scripta Mathematica in 1946. Information, and occasional portraits, are provided on 53 of the most famous mathematical table makers.


Tables were one of the main tools used in scientific computation until the invention of the computer and table makers were one of the first casualties of computer automation. Table makers were the impetus behind the automation of table making from Babbage to Comrie to Aiken. Several early programmers came from the ranks of table making projects and numerical analysis and computer science owes a significant debt to them.

Arthur, William

Appraisers’ and Adjusters’ Handbook

 1st edition, second issue


New York, U.P.C. Book Co. Inc.

Good condition

ID#: B1543.01


Asimov, Isaac

An Easy Introduction to the Slide Rule

Fawcett Premier 1965, paperback 1967

ID#: B1667.01


Aspin, Jehoshaphat

Ede's Gold and Silversmiths' Calculator

London, Turner and Co.

ID#: 1005.98


Babbage, Charles

On the Economy of Machinery and Manufactures

London, Charles Knight

1832, first edition

Inscribed "To Sir Edward Ryan from his friend the author" (Ryan was, I believe, Babbage's brother-in-law)

ID# B264.83


This is one of Babbage’s major works. It established him as a major influence in the field of economics. The material was first published in the Encyclopedia Metropolitana in 1829 and then as this volume. It went through many editions and was translated into the major European languages. Babbage added minor items from one edition to the next, but essentially the material was all present in this first edition. The first half is devoted to the examination of the process of manufacturing and the second to more “macro-economic” considerations. It was due to this work that Babbage has been referred to as the father of operations research.

Babbage, Charles

Passages From the Life of a Philosopher

London, Longman, Green

1864, 1st edition

Hinges cracked

ID#: B223.82


This autobiographical work includes the history of both the Difference Engine and the Analytical Engine. Also covered are his many other inventions and contributions including: the speedometer, the cowcatcher, encoded lighthouse signaling, and what is today known as operations research.

Babbage, Charles

Table of Logarithms of the Natural Numbers from 1 to 108,000

Stereotyped edition

London, 1889

Dedication page to Lieutenant-Colonel Colby of the Royal Engineers

ID#: B1681.01



Comptes-Faits de Barreme en Francs et Centrimes

Paris, Limoges


ID#: B1572.01


Barreme was a native of Lyons who founded a commercial school in Paris. He was responsible for the publication of many different types of tables and ready-reckoners during his lifetime. The tradition was continued by his son Nicolas. The tables became so popular that their name became a synonym for ready-reckoners or numerical tables in general and they are known by the name Barème in France today. While they were both popular and produced long after Barreme died, editions predating 1700 are very rare.


Compte-Faits de Barreme ou Tarif General Dedie...

Jean Geofroy nyon sur le quay de Conty


ID#: B1574.01



Les Comptes Faits


nice title page showing merchant

ID#: B1616.01



Le Livre des Comptes Faits



ID#: B1014.98



Le Livre Necessaire pour les Comptables



Poor condition

ID#: B1601.01



Le Livre des Comptes-Faits

Paris, Babuty Fils


ID#: B1573.01



Le Livre des Comptes-Faits



ID#: B1607.01



Le Livre des Comptes-Faits



ID#: B1621.01


de Beauclair, W.

Rechen Mit Maschinen

Braunschweig, Vieweg & Sohn


Forward by Konrad Zuse, signature of Gordon Bell

565 photos

ID#: B330.78


Berkeley, edmund c.

Brainiac manuals, contains: Geniacs, Simple

Electric Brain Machines and How to Make Them, 1955;

Tyniacs, Tiny Electric Brain Machines and How to

Make Them, 1956; Brainiacs, the 1958 Experiements,

1958; How to Go From Brainiacs and Geniacs to

Automatic Computers, 1958; Brainiacs, Materials in the

Kit and How to Assemble Them, 1966; Brainiacs

Introduction and Explanation, 1959; and How to

Assemble Brainiacs by Dorothy Zinck, 1959.


Berkeley Enterprises, Inc.

ID#: B1677.01


Bessel, Friderico Wilhelmo

Tabulae Regiomontanae Reductionum Observationum Astronomicarum ab anno 1750 usque ad annum 1850


Royal Greenwich Observatory binding

ID#: B369.86


First edition, 8vo, pp. (Iv), lxiii, (i), 542, errata, verso lank; foxed; blue library buckram, from the Royal Greenwich Observatory, release stamp on end paper.


The star positions given for one century, constitute the first modern reference system for the measurement of the positions of the sun, the moon, the planets, and the stars, and for many decades the Konigsberg tables were used as ephemeerrides.  With their aid, all observations of the sun, moon, and planets made since 1750 at the Royal Greenwich Observatory could be reduced; and thus these observations could be used for the theories of planetary orbits.

Bidder, George P.

Bidder's Tables

One large folding table bound in covers giving volumes of excavations etc.

ID#: B1609.01



Bigelow, Jacob, M.D.

Elements of Technology


Original cloth‑covered boards with original paper label, uncut. With a large folding, engraved frontispiece + 10 engraved plates (6 folding) + 11 woodcut plates (1 folding) + many text figs.  Spine somewhat worn and repaired, cloth partially faded and frayed at edges

ID#: B246.82


Jacob Bigelow (1786‑1879) was appointed in 1816 to the chair which Count Rumford had endowed at Harvard for the instruction of the application of the sciences to the useful arts, a first attempt to create a meeting ground for self‑made inventors and academic scientists. There being no good name for such a field, Bigelow coined for it the name ‘technology’, which has passed into common language.

Bion, N. (translated by Edward Stone)

The Construction and Principle Uses of Mathematical Instruments



ID#: B18.78


Nicholas Bion was the king’s engineer for mathematical instruments. It is surprising how little is known about his life beyond the fact his workshops were in Paris. He was very famous, but it is difficult to determine if his fame rests on the quality of his instruments or because he wrote this respected book. Only a few of his original instruments appear to have survived.


The work is encyclopedic and gives descriptions of the mathematical instruments commonly available at the beginning of the 18th century. Bion interpreted “mathematical” broadly for the work contains information on devices used in a variety of scientific and engineering fields. It is composed of a preface giving definitions of mathematical terms, followed by eight separate books: rulers, and protractors; the sector containing a line of equal parts (“B” in his figure 1), line of planes (“C”), line of polygons (“D”), line of chords (“F”), line of solids (“H”), and line of metals (“G”); the compass (including both proportional compass and beam compass); surveying devices (quadrants, chords, chains, and sighting devices); water levels and gunner’s instruments (gunner’s compass and quadrant); astronomical instruments (large quadrants and micrometers for measuring); navigational instruments, including, for example, the Jacob’s staff, and the mariner’s quadrant which were, by then, no longer in use; sundials of all forms at all orientations, the nocturnal, and a water clock.


The volume was intended for the instrument user rather than the instrument maker. The description of several devices (optical and micrometer instruments in particular) are lacking in detail which might indicate that Bion was not familiar with them or, perhaps more likely, that he did not wish his rivals to be able to reproduce his instruments.


Edmund Stone (ca. 1700- 1768), the translator of this work, was the son of a gardener to the Scottish Duke of Argyle. At the age of 8, another servant taught him to read. Shortly thereafter he noticed an architect, working on the Duke’s house, using instruments and making calculations. Inquiring about these, he learned of the existence of arithmetic and geometry and purchased a book on the subject. When he was 18 and a gardener on the estate, the Duke saw a copy of Newton’s Principia in the grass. Assuming it was from his library, the Duke called a servant to return it and was very surprised when the young gardener intervened claiming it was his own. The Duke became his patron and provided him with employment that would allow time for study. Stone became a Fellow of the Royal Society in 1725. The patronage continued until the Duke’s death in 1743 when Stone lived in poverty (he had to resign his Fellowship in the Royal Society at the time) and eventually died a pauper.


According to the translator’s preface Stone had wanted to produce a work on instruments and decided that Bion’s provided the best model available. Rather than writing one himself, he decided to translate the French work and add to it those English instruments that Bion had overlooked. An example of such an addition—the inclusion of the English gunner’s calipers—can be seen by comparing the plate showing artillery instruments in the first (1709) edition of Bion with the present volume.


Stone also added, as an example of the power of the instruments, a short section on “The Use of the Sector in the Construction of Solar Eclipses” in which he details the path, across Europe, of the Moon’s shadow for the eclipse of May 11, 1724—the year after the publication of this translation.


This work is actually a translation of the second (1716) edition of Bion. It includes the additional chapters on fortification, and the pendulum clock from that edition. This translation appeared at the same time as Bion’s third French edition.

Bion (Edward Stone translator)

Construction and Use of Mathematical Instruments (Holland reprint)

This is the reprint done about 1981 of the original edition

ID#: B18.78b


Blackie and Son

The Agriculturists Calculator: A Series of Tables...


No spine

ID#: B1023.98


Bois, G. Petit (Ingénieur Civil des Mines)

Tables d’Intégrales Indéfinies

Paris, Gauthier-Villars


ID#: B1579.01


Boole, George

A Treatise on the Calculus of Finite Differences

Cambridge, Macmillan Co.


ID#: B247.82


George Boole was the son of a cobbler whose hobby was mathematics and lens grinding. The father encouraged the son to study mathematics but the family’s financial situation prevented him from obtaining anything except an elementary education. George studied on his own and quickly mastered Latin, Greek, and several European languages as well as mathematics. In 1849 he was appointed to the professorship of mathematics at Queen’s College, Cork, despite his lack of formal qualifications. He made many contributions to mathematics but his most famous work was the creation of mathematical logic. Several people, most notably Leibniz and DeMorgan, had attempted some type of algebraic treatment of logic prior to Boole but none had manage to overcome the difficulties that arise when considering anything beyond the most trivial situations.


Boole’s entry into this field was due to a simple argument between DeMorgan and the Scottish philosopher W. Hamilton. Hamilton had derided some of DeMorgan’s attempts to introduce the systems of algebra into logic and had indicated that logic was the realm of the philosopher and that mathematics was dangerous and useless. Boole, by using Hamilton’s own arguments, showed that logic was not part of philosophy. He then proceeded to study if logic, like geometry, might be founded on a group of axioms (see entry for Boole, The mathematical analysis of logic, 1847).


In recent times, Boolean logic has found widespread use in the design of digital computers and communications systems, indeed it would be impossible to design even a simple electronic computer without using these techniques.


This work contains material for which George Boole was well known in his lifetime. It is now so completely overshadowed by his contributions to mathematical logic as to be almost forgotten.

Booth, David

The Tradesman, Merchant, and Accountants Assistant

London, George Cowie & Co.


ID#: B1598.01


Bottomley, J.T.

Four Figure Mathematical Tables

Macmillan & Co.


ID#: B1561.01


Bottemley, J.T.

Four Figure Mathematical Tables



Signature of L.M. Milne-Thomson

ID#: B1586.01



Bowden, B. V. (edited by)

Faster than Thought

Sir Isaac Pitman & Sons, Ltd., London


ID#: B257.82


Briggs, Henry (Vlacq, A.)

Arithmetica Logarithmica




ID#: B277.82


Henry Briggs graduated from Oxford with an MA in 1585 and remained there as a junior academic. He was elected as a Fellow of St. John’s College in 1589. In 1596 he was invited to be the founding professor of geometry at the newly created Gresham College in London where he worked lecturing and creating navigational tables. Shortly after Napier published his Mirifici logarithmorum canonis descriptio in 1614, Briggs obtained a copy and immediately saw the value of logarithms for navigation and other computations. He began to teach them to his students and soon saw that they would be easier to use if the base was changed to 10. Briggs visited with Napier in the summer of 1615 and again in 1616 and, after the two men had agreed on the proposed changes, Briggs began calculating the new base 10 logarithms. Napier took no part in this work as he was not well and died the next year. In 1617 Briggs supervised the printing of a translation, produced by Edward Wright who had died shortly after finishing it, of Napier’s work. In a preface to this translation he justifies the changes and includes a small table of logarithms of numbers from 1 to 1000 (the first “chiliad”).


This volume contains logarithms for numbers from 1 to 20,000 and from 90,000 to 100,000. It took until 1624 to produce the table in this volume. Briggs did not start calculating logarithms in succession, but used a number of critical logarithms for 0, 101/2, 103/4, etc to calculate the others. Briggs wrote a preface in which he explained how to use the logs and gave a plan for calculating the missing 70,000 numbers—even offering to supply special paper divided into columns for anyone willing to help. He provided the difference between each adjacent value and a method of calculating logarithms by interpolation from differences. The missing 70 chiliads were included in the second edition of this work published by Adrian Vlacq in 1628, although Briggs had nearly completed the calculations by this time himself. It was in the preface to this work that Briggs coined the terms characteristic and mantissa for the two portions (on either side of the decimal point) of a logarithmic number.


Some copies of this work have an additional 6 pages containing the logarithms for 100,001 to 101,000 and a table of square roots from 1 to 200. This volume does not contain these extra pages but they are in another issue in this collection (see entry for Briggs, Arithmetica Logarithmica, 1624 – another issue).


These logarithms, together with those of Vlacq mentioned above, form the basis from which almost all other tables were produced. At the end of the 18th century the French produced the Tables du Cadastre which were only available in manuscript form (see entry for Prony). Towards the end of the 19th century, Mr. Sang published a seven-figure table of logarithms for numbers up to 200,000, the last half of which was a new calculation. With these two exceptions, all other pre-20th century tables were simply edited copies of the original Briggs and Vlacq computations (see the entry for Charles Babbage, Notice respecting some errors common to many tables of logarithms, 1829).

Brooks, Frederick P. Jr.

The Mythical Man-Month

Essays on Software Engineering

ID#: B1685.01


Brown, Ernest W. and Drouwer, Dirk

Tables for the Development of the Distribution Function with Schedules for Harmonic Analysis

Cambridge University Press


ID#: B1588.01


Brown, J. (improved by John Wallace)

Mathematical Tables (logs etc)


1815 (3ed edition ?)

ID#: B1604.01



A New Manual of Logarithms

Van Nostrand

1909 (8th edition)

poor condition – spine loose

ID#: B1533.01


Burdwood, John (revised by Percy L. H. Davies)

Sun's True Bearing or Azimuth Tables


1923, 2ed edition

ID#: B1620.01


Burrau, Carl

Tafeln der Funictionen Cosinus un Sinus

Berlin, Verlag von Georg Reimer


ID#: B1576.01


Burington, Richard Stevens

Handbook of Mathematical Tables and Formulas



See B287.55

ID#: B44.79


Burington, Richard Stevens

Handbook of Mathematical Tables and Formulas

Handbook Publishers, Inc. Sandusky, Ohio

Reprinted with corrections, 1953

Gordon Bell's book with cigarette burn

ID#: B287.55 (Marked B282)


Burritt, Elijah Hinsdale

Logarithmick Arithmetick – to be used in schools in New England



ID#: B1594.01


Byrne, Oliver

Practical, Short, & Direct Method of Calculating the Logarithm of Any Given Number

New York, Applaton & Co.


Good condition, presentation copy to Franklin Institute 3, May 1851

ID#: B1545.01


Byrne, according to another of his publications, was “Surveyor-General of the Falkland Islands, Professor of Mathematics in the College for Civil Engineers, Consulting Actuary to the Philanthropic Life Assurance Society etc. etc. etc”. DeMorgan (A Budget of Paradoxes, 1872, pp. 199-200) is scathing about an item written by Byrne in which he attempts to use mathematical symbols to prove statements in the creed of St. Athanasius.


This, like other publication by Byrne, is an extreme example. In it he shows a method of calculating any logarithm for any number. While it would work, the system is completely impractical, particularly when a table of logarithms is so easy to use. In the introduction he points out a curiousity where eight numbers have the same digits as their logarithms.

Callet, Francois

Tables Portatives des Logarithmes


1795 an III (Tirage 1806)

ID#: B1560.01


This is a table with a decimal subdivision of the circle (the French attempt to reform trionometry after the revolution to make it metric) The logarithms are a report of Gardner’s 1742 tables.

Back off – held on with rubber band.


Callet, who was distantly related to Rene Descartes, held a number of teaching positions in smaller French towns but eventually became a teacher of mathematics in Paris. He is best know for the tables that he edited.


This is an edition of Gardiner's 1742 tables. These were widely regarded as being highly accurate but they were only produced in small print runs and were difficult to locate. Gardiner’s original tables were published in a larger format (see entries for Gardner) described by Callet as “équivalent à un petit in-folio”. This French edition was designed to provide them both at less cost and in a smaller format that would be easier to use.

Capra, Balthasar

Vsvs et Fabrica Circini Cvivsdam Proportionis, per quem omnia fere tum Euclidis, tum Mathematicorum omnium problemate facili negotio refoluunter

H.E. de Duccijs, Bononiae (Bologna) 1655

Italy, 1st Ed., Modern leather binding and use,

86 pages, many text woodcuts including a full page one of the sector.

ID#: B334.85


The author (1580‑1626) an Italian astronomer and philosopher is best known for his challenge of Galileo as the inventor of the compass of proportion or sector. This book was written in 1607 although not published until 1655 after Galileo’s first disclosure about 1598.

carrera, roland; lioseau, dominique; roux, oliver

Androids, the Jaquet-Droz Automatons

Scriptar and Franco Maria Ricci

In box with score and music of Jaquet-Droz automation


ID#: B1519.01


Cavalerio, Bonaventura

Trigonometria Plana, et Sphaerica, Linearis, & Logarithmica


(first half appears to have been cleaned but last half does not)

ID#: B1006.98


Cavalieri considered himself a disciple of Galileo and, although they seldom met, there are 112 letters from him to Galileo published in the Opere di Galileo. He was ordained in his late teens and was moved by his religious superiors to many different places in Italy, eventually becoming a prior of a convent in Bologna. This position gave him the leisure he needed for his mathematical studies and he published a number of mathematical works while there. Although he is known as an astrologer, he stated that he did not believe in the predictions, however this may well have been to placate his supervisors rather than any real statement of truth. While in Bologna he developed a mathematical technique (method of indivisibles) which was a step towards the eventual creation of the calculus. He is credited with the introduction of logarithms into Italy.


This is a treatise on plane and spherical trigonometry with, as was usual for Cavalieri, tables of logarithms. The table combines standard trigonometric values with logarithmic ones in what he terms a “Canon Duplex” (double table) that was well laid out for its day. Logarithms of numbers are simply for the first chiliad.


Cavalieri uses the preface to this volume to refute criticism of his method of indivisibles by Paul Guldin a Jesuit scholar. The frontispiece shows the goddess Trigonometria opening the door to show the various applications of the art.


Mathematical Tables


ID#: B1021.98


Collins, Thomas

The Complete Ready Reckoner in Miniature

London, B. Crosby & Co.


poor condition

ID#: B1026.98


Collins, Thomas

The Complete Ready Reckoner in Miniature


ID#: B1525.01


collyer & son (publisher)

Square Measure at a Glance: Collyer's Tables for Calculating Superficial Areas

1879 (from preface)

Good condition

ID#: B1564.01


Compton, Karl Taylor

A Scientist Speaks

Excerpts from addresses by Karl Taylor Compton

during the years 1930-1949 when he was President of

the Massachusetts Institute of Technology

MIT, 1955

ID#: B1680.01


Cooper, Henry O.

Instruction for the use of A.W. Faber “Castell” Precision Calculating Rules

A.W. Faber, “Castell” Pencil Works, Ltd.,

ca 1935, Germany,  Grey and red cover

ID#: 196.91


Courtney, John

The Boilermaker's Ready Reckoner




ID#: B1580.01


Courtney, John (revised by D. Kinnear Clark)

The Boilermaker's Ready Reckoner

London, Crosby Lockwood & Son


ID#: B1618.01


Crelle, A.L.

Calculating Tables Giving the Products of Every 2 Numbers from 1 to 1000



New edition by O. Seeliger

Title page loose, signed by L.M. Milne-Thomson. Contains a loose sheet "Royal Naval College Session 1955-56 Summer Examination Final Officers qualifying in gunnery mathematics".

A translation of Crelle's work from 1907

ID#: B1624.01


Crelle was a self taught mathematician, although he did obtain a Ph.D from the University of Heidelberg in 1816 for a thesis he submitted on calculation. He is best known for founding the Journal für die reine und angewandte Mathematik (better known as Crelle’s Journal) in 1826 and editing 52 volumes. He was responsible for the creation of many new roads in his position with the Prussian government. He was also responsible for the construction of a rail line from Berlin to Potsdam. In 1828 he moved to the Minsitry of Education and became an advisor on the teaching of mathematics.


This book is a very large multiplication table that became one of the standard tables for calculation. It was reprinted many times, the last being in 1954. It gives the products of all integers up to 1000 and can be used for multiplying and dividing much larger numbers. Two additional tables give the square and cubes of the integers.

Cubik-Tabelle (nach Maurach)

Fold-Out Tables

ID#: B1577.01


Cullyer, John

The Gentleman's & Farmer's Assistant

1839, 11th edition

ID#: B1602.01


Nothing is known about the author.


This ready reckoner was first published in the late 1700s (2ed edition in 1798) and went through at least 12 editions before 1848. It begins with a short description of how any irregularly shaped piece of land may be subdivided into regular figures in order to establish the area. The largest table gives the area of any rectangular piece of land from the measurements of the sides (from 1 to 500 yards).

Culum, W.

Cullum's Calculator for Jewelers etc.

1907 or later

ID#: B1597.01



Cutler, Ann and McShane, Rudoph (translated and adapted by)

The Trachtenberg Speed System of Basic Mathematics

ID#: B255.82


Day, B.H.

Day's American Ready Reckoner

New York

1866 (copyright)

ID#: B310.84


Little is known about the author.


The book contains “tables for rapid calculations of agreegate values, wages, salaries, board, interest money, timber, plank, board, wood, and land measures with explanations of the proper methods of calculating them, and simple rules for measuring land. These tables are wholly original and have been carefully revised by an expert mathematician.”

de Morin, H.

Les Appareils d"Integration Integrateurs Simples et Composes

Paris, 1913

ID#: B397.87



Dessain, H.

Recherches sur La Telegraphie Electrique par Michel Gloesener

Imprimeur‑Libraire, Liege,  Belgium


Beautiful fold‑out plates of the needle telegraph.

ID#: B163.81


DiEtzgen, Eugene Co.

Catalogue and Price List of Eugene Dietzgen Co. Manufactures of Drawing Materials and Surveying Instruments

1912 or later (9th edition)

ID#: B268.83


Excellent section on slide rules and calulators, pp 216‑236, and on planimeters, integrators and integraphs, pp 500‑507.

Dietzgen, Eugene Co.

Catalogue of Eugene Dietzgen Co.

1928, 13th edition

ID#: B1583.01


Dodson, James

The Antilogarithmic Canon

London, 1742

(the first, and only for about 150 years, such table)

ID#: B1592.01


Dodson was an accountant and teacher of mathematics who was elected FRS in 1755 and became master of the Royal Military School, Christ’s Hospital the same year. Augustus DeMorgan was his great-grandchild and he indicates that his great-aunt would not talk about Dodson because she thought his job at the Royal Military School was a blight on the family tree. He was refused entry to the Amicable Life Assurance Society because he was over 45 upon application and this began his attempt to found his own company, the Equitable Life Assurance Society, which was successful, but had to be done by others the year after Dodson died.


This table of anti-logarithms was the first and remained the only such table in print until 1844. In the introduction he reviews all the previous publications on logarithms up to the date of publication. This was done by examining every item he could obtain, many of which came from the library of his friend William Jones.


Two stories are known about the origin of these tables. One has it that the table had actually been calculated about 1630 by Walter Werner and John Pell. According to the Dictionary of National Biography, Pell wrote a letter in 1644 claiming that Werner had become bankrupt and to have left the table to Dr. H. Throndike who, in turn, passed it to Dr. Busby of Westminister. However, this version is not mentioned by Charles Hutton (Mathematical Tables, 1785, pp.119-121) who describes these tables (calling Dodson “a very ingenious mathematician” and the tables “a very great performance”) and even notes how they were calculated.

Dowsing, William

The Timber Merchant's Builder's Companion

London, Crosby Lockwood


ID#: B1606.01



High Speed Computing Devices

McGraw Hill


Library stamp of Frank S. Preston and signature of Gordon Bell

ID#: B1538.01


This work was the first real textbook on computing and computer hardware. It was a pioneering work that influenced both American and other computer developments. It provides the best picture of the state of the industry in its infancy. The work was first written as a report to the Office of Naval Research who were the main backers of Engineering Research Associates, a group formed largely from World War II Naval code-breaking people. It presents a discussion of the mechanical and electrical (both analog and digital) devices which could be incorporated into computing machines. Although it does not survey the computer projects then underway, it does occasionally discuss individual machines in the context of integrating devices into complete systems.


Engineering Research Associates (ERA) later became a division of Sperry Rand.

Ernst, Wetli, Hansen

Die Planimeter

Germany, 1853

Prof. Dr. Bauernfeind

ID#: B1676.01



Instructions for Castell Precision Slide Rules

A. W. Faber-Castell, Stein Near Nuremberg

ID#: B1012.98


Farley, F.J.M.

Elements of Pulse Circuits

London, Methoen & Co.

1958 2ed edition

signed by Gordon Bell inside front cover

ID#: B1558.01


Farr, William

English Life Table


ID#: B1570.01


Bookplate of the Janus Foundation (Norman group in San Francisco). The only extensive publication of table ever computed with the Scheutz difference engine.


Farr was born in humble circumstances but he received patronage from two distinguished gentlemen who left him enough money (and a library) to complete his education.  In 1829 he went to Paris to study medicine where he became interested in medical statistics. In 1837 he wrote a number of articles on vital statistics for which be became famous. H was an assistant commissioner for the 1851 British census and a commissioner for the one if 1871. He was a prominent member of the Statistical Society, serving as President in 1871 and 1872.


This volume is the only large set of tables ever to be produced by the original Scheutz difference engines. Babbage’s difference engine was never completed and the original Scheutz machine went to the observatory at Albany, New York where it was little used. This, the second commercial version of the Scheutz machine, was put to work calculating tables for use in the developing life insurance industry. William Far, the editor of these tables and author of the introduction, was president of the Royal Statistical Society (Charles Babbage was one of its founders). This professional association and the fact that Babbage was very interested in the life insurance industry make it almost certain that he would have been an advisor, if only unofficial, in the production of these tables.

Fisher, George (accomptant)

Arithmetic in the Plainest and Most Concise Methods

London, Wilmington for Peter Brynberg

Poor condition

ID#: B298.83 (Marked B225.83)


Nothing is known about the author (who should not be confused with the astronomer of the same name)

Flint, Abel

A System of Geometry and Trigonometry with a Treatise on Surveying in which the Principles of Rectangular Surveying without Plotting are Explained

Wm. Jas. Hamersley, Hartford


Leather binding

ID#: B226.82


Enlarged with additional tales by George Gillet, New Edition, Revised containing a new rule for correcting deviations of the compass by L. W. Meech.

Flint, Samuel


Bugthorpe School, 1856

Simple Interest Examples, all beautifully done in original calligraphy.

ID#: B1677.01


Fowle, F.E.

Smithsonian Physical Tables


1944, 5th edition

Vol 58, #1 Smithsonian Misc. collections

ID#: B1567.01



Le Operazioni del Compasso Geometrico et Militare di Galileo Galilei

Padova, 1649, Italy

80 pp., folding engraved plate of the sector and many text woodcut illustrations. Hard vellum binding, 3rd Edition.

ID#: B335.85


Galileo seems to have invented his “compasso geometrico” also called compass of proportion or sector about 1597 and disclosed it about 1598. The first edition of this, his first book, was published in 1606 with less than 60 copies issued. it was reprinted in 1619. A second, improved edition was issued in 1640 by the same publisher of the third.


Gardner, Martin

Logic Machines and Diagrams

McGraw Hill Book Company, Inc. New York


ID#: B254.82


Contents include: The Ars Magna of Ramon Lull, Logic Diagrams, A Network Diagram for Propositional Calculus, The Stanhope Demonstrator, Jevons Logic Machine, Marquand’s Machine, Window Cards, Electrical Lobic Machines, The Future of Logic Machines.

Geddes, keith

Guglielmo Marconi 1874-1937

Science Museum, United Kingdom


ID#: B1676.01


Good, J.

Measuring Made Easy (Coggeshall's Sliding Rule)

London, W. Mount


ID#: B280.83


This work, the first edition of which was in 1719, describes Coggeshall’s sliding rule and illustrates its use for various trades, usually involving lumber, stone etc. The book, like many others on this topic, does not illustrate the sliding rule.

Gregson, A.W.

The Complete Chest Squarer or Chest Makers’ Ready Reckoner

Manchester, J. Aston

c 1840 (1st or 2ed edition, third was in 1859)


ID#: B1542.01


Gunter, Edmund

The Description and Use of the Sector


Spine loose, top edge cropped, otherwise good

ID#: B274.83


Edmund Gunter was born in Hertfordshire in 1581 and died in London on December 10, 1626. When he was 18 he enrolled in Christ Church College Oxford and took degrees in both arts and mathematics. He started a degree in divinity in 1614 but left this calling to take the position as the third professor of astronomy at Gresham College, London, in 1619. By this time his mathematical skills were so well known that he was elected to the position only two days after the resignation of his predecessor.


He was one the leaders in the movement to simplify computation by creating instruments for all the basic astronomical and navigational needs of the day. It was his contacts with another professor at Gresham College, Henry Briggs, that introduced him to logarithms. He was one of the first to inscribe a logarithmic scale onto a piece of wood (known as Gunter’s line of numbers) so that multiplication and division could be performed by means of measuring with dividers. He is also credited with the invention of the surveyor’s chain (sometimes known as “Gunter’s chain”), a form of the quadrant known as Gunter’s Quadrant, and the surveyor’s table.


This volume is Gunter’s third publication. The previous two were his table of the logarithms of tangents (the first ever published) and a description of a major set of sundials he had produced for the royal family in Whitehall gardens. This latter volume was his only publication that was not republished many times—some long after his death.


While he is often credited with the invention of the sector (see, for example, John Ward, The lives of the professors of Gresham college ), there is no doubt that both Galileo, in Italy, and Thomas Hood, in London, had published on it previously—indeed it was Hood that coined the term “sector” for this instrument. Some time around 1606 he discovered the existence of the sector and wrote a description of it in Latin. This was never published, but was known to many from hand made copies. In this published version, at the end of his description of the sector, Gunter states that this work is simply a translation of his earlier Latin manuscript version

 “…partly to satisfy their importunity, who not understanding the Latin, yet were at the charge to buy the instrument”.


It is reasonable to assume that Gunter learned of the device either while a student at the Westminster School (Hood was living, and occasionally giving public lectures, in London at the time) or while a student at Oxford. In none of his publications does he ever credit anyone else with the invention (he does however acknowledge being familiar with the works of “Dr. Hood” during his description of the Cross-Staff later in this volume).


Although not inventing the device, it is certainly the case that Gunter was the person most responsible for its popularity in England. His clear explanations were usually oriented towards very practical problems in mathematics, dialing, astronomy, and navigation. In addition, the sectors he describes were very well designed with the scales much more clearly marked and capable of precise usage than many others of that era. The basic design of scales on Gunter’s sector (often referred to as an English sector) was to remain until the instrument ceased to be included in the usual box of mathematical instruments about the beginning of the 20th century. It is understandable why this book was so often reprinted. Not only does it deal with realistic problems but often includes several different ways of approaching the problem, either with the sector or by the inclusion of various tables. In the section dealing with the cross-staff, he mentions (p.61) “my tables of artificiall sines and tangents” (logarithms of sines and tangents) but they are not included in this edition. Later editions of this work (e.g., 1636) include these tables.


While the sectors produced on the continent of Europe were often very decorative the Gunter sector was utilitarian. The continental sectors usually had each scale represented as a single line with major divisions numbered and minor divisions represented by small “pin pricks”. Gunter’s experience with mathematical and astronomical instruments led him to produce the scales with minor divisions clearly marked by lines in such a way that there could be no doubt as to the value being measured.


This work is actually composed of two independent works. The first, on the sector, and the second, on the cross-staff, are both divided into three “bookes.” The sector is first explained, then sections are devoted to each of the lines and the problems that are solved by them. The second work details the cross-staff and the lines that he inscribed upon it. These were often very similar to the single-line scales found on his sector, and also included a scale of logarithms (which became known as Gunter’s line of numbers) and two scales of logarithmic sines and tangents. This part of the book contains the description of a few other instruments, almost as after thoughts. The last of them was a small quadrant, marked with calendrical and astrolabic scales, which later became famous as “Gunter’s quadrant.”


All of these instruments are shown in use on the title page. This particular engraving was used for many of the reprints of Gunter’s work, the central title being changed and various inscriptions being added to the shield at the base.

Gupta, Hansraj

Tables of Partitions (of Integers)

Madras, Indian Math. Society


slip inside asking Milne-Thomson to review it

ID#: B1575.01



Slide Rule Simplified

American Technical Society


ID#: B1673.01


Hart, Walter

Book of Instructions for the

Equationor or Universal Calculator

Published by the Equationor  Co.

New York, 1892.

ID#: B1679.01 (Marked B398.87,

crossed off, and remarked B305.87).


Hartree, Douglas R., Plummer Professor of Mathematical Physics, University of Cambridge

Calculating Instruments and Machines

The University of Illinois Press, Urbana


Cloth cover, 68 illustrations

ID#: B261.83


The first chapters are devoted to differential analyzers which were still being used and developed for computational needs. The last chapters discuss digital calculators starting with Babbage’s analytical engine and including extensive discussions of ENIAC and the Harvard Mark I.


Annals of the Computation Laboratory of Harvard Vol XVIII: Tables of Generalized Sine and Cosine Integral Functions Part I and Part II


ID#: B1665.01


Howard H. Aiken, a professor at Harvard, wanted to create a calculating machine to help with problems in his research area, atomic physics. After several unsuccessful attempts, he managed to interest Thomas J. Watson Sr., President of IBM, in the project. Watson viewed the project as one that showcased the engineering skill of IBM rather than any potential product development. Work began on the machine at IBM’s Endicott factory in 1939. The design called for creating the machine from the standard components of IBM’s mechanical accounting equipment, but several items had to be specially created for this project. When the machine was working at IBM in January of 1943 (it was moved to Harvard, in May of 1944), it was 50 feet long, contained 500 miles of wire, and 750,000 individual components. It could store 72 numbers, each of 24 digits plus sign and had a set of 60 constant registers set by rotating switches. The machine was controlled by a punched paper tape reader which could read and execute instructions at the rate of 3 additive operations per second (multiplicative and other operations took longer). Multiplication and division were done by a special unit which was essentially a set of Napier’s bones implemented in relay technology. The machine was known as the Automatic Sequence Controlled Calculator, or Mark I for short. It was the second automatically controlled calculating device ever constructed—the first being the Z3 created by Konrad Zuse in 1941. The Mark I was, by far, the largest and most influential of these two machines.


This volume, the 18th in a series of reports from the Harvard Computational Laboratory the 41st and last of which appeared in 1967, is typical of the tables produced on the Harvard mark I.

Haviland, James

The Improved Practical Measurer (Ready Reckoner)



Hinges cracked

ID#: B1595.01


Hawkins, N.

Hand Book of Calculations for Engineers and Firemen Relating to the Steam Engine, the Steam Boiler, Pumps, Shafting, etc

Theodore Audel & Co.


ID#: B225.82


Hayashi, Keiichi

Taflen der Besselschen

Berlin, Verlag von Julius Springer


Signature of L.M. Milne-Thomson

ID#: B1571.01


Hoare, Charles

The Slide Rule

London, Crosby Lockwood & Son


With cardboard slide rule in a pocket inside the front cover

ID#: B47.79


Nothing is known about the author.


An introduction to the use of the slide rule with a cardboard slide rule in a pocket glued to the inside of the front cover. While better than nothing, the sample slide rule had two independent slides held in place by thread and would have been difficult, if not impossible, to use with any accuracy.

Hodgman, Charles D., M.S., Editor in Chief

Handbook of Chemistry and Physics

A ready-reference book of chemical and physical data.

31st edition.

Chemical Rubber Publishing Co.


Gordon Bell signature.

ID#: B28.79


Hollerith, Herman

Complete Specification

Improvements in the methods of and apparatus for compiling statistics, patent application, 1889, Folio, 7 pages and 5 plates on 3 sheets; disbound in a cloth folding case, Buy, Pickering and Chatto.

ID#: B332.85


The original patent specification, and thus the first printed account, of the Hollerith electric tabulating machine.

Hormusjee, Dorabjee

The Oriental Calculator or Tables for the Calculation of Interest, Exchange & Commission


1860, 3ed edition

ID#: B177.81 (also marked B1015.98)


Part I contains Interest Tables in Rupees, Dollars, and  Sterling from one‑half to 12 per cent per annum.  Part Ii contains tables for the conversion of rupees, into sterling and dollars; and sterling into dollars.  Part III contains commission or Inland Exchange Tables; Key showing indirect exchange between England, India and China;  Tables shoing the comparative rates of exchange for sight bills,  and tables showing the estimated value of one pound of cotton with all charges and varying exchange rates.


In the preface to the third edition the author states, “The rapid sale of the previous Editions of the “Oriental Calculator” and the pressing demand for it, are evident proofs of the utility of this work in mercantile circles; and the production of the Third Edition is the result of the liberal patronage and support the author has been favored with.”

Horton, Richard

Table Showing the Solidity of Hewn or Eight-Sided Timber

London, J. Weale & co


ID#: B1563.01


Howard, C. Frusher

Howard’s Anglo-American Art of Reckoning

John Menzes


good condition

ID#: B1565.01


Hudson, R.

The Land Valuer’s Assistant (Ready Reckoner)

London, C. Cradock & W. Joy


good condition

ID#: B1541.01


Hülsse, J.A.

Sammlung Mathematischer Tafelin von Gorgs Freiherrn von Vega



ID#: B1596.01


Huntington, E.V.

Four Place Tables

Cambridge MA, Harvard Cooperative Society

c 1910 or later

Signed Edmund Callis Berkeley on the front cover

ID#: B1548.01


Hurst, John Thomas

A Handbook of Formulae, Tables and Memoranda for Architectural Surveyors

London, E.&F.N. Spon

15th Edition


ID#: B1610.01


Hurst, John Thomas

A Handbook of Formulae Tables and Memoranda

London, E.&F. Spon



ID#: B1535.01


Hutton, Charles

Mathematical Tables

1801, 3ed edition

Contains the "large and original history of tables"

Disbound with front cover loose

ID#: B1600.01


Hutton, born in Newcastle-upon-Tyne, was the son of working class parents. Although he had some schooling he taught himself mathematics and eventually became a teacher in Newcastle. In 1773 he was appointed professor of mathematics at the Royal Military Academy in Woolwich, a position he held for the next 34 years. He was elected to the Royal Society in 1774 and later served as its foreign secretary. He edited many different journals, including the Philosophical Transactions, and was also a regular contributor of papers and commentary to many others. While not an original mathematician, he is well known as an author of background material and textbooks. Many of his works, particularly his Dictionary and the introduction to his Tables are still considered useful historical references today.


Hutton’s tables were among the most popular of his day. They were often reprinted and were the start, at least from the fourth edition on, of experiments with different table layouts and typefaces that eventually were taken up by Charles Babbage (Table of logarithms). It is interesting to compare the layout of these tables with those published later (such as Babbage’s) to see how much improvement can be made by simple typographic changes. The main interest in this edition is the 121 page essay on the history of such tables. It is the starting point for all histories of the subject. The essay was, unfortunately, omitted from later editions of the tables. The historical essay is followed by a very good description of the use of the tables in arithmetic and plane and spherical trigonometry—as might be expected from someone who spent their whole life as a teacher of the subject.

Hutton, Charles

Tables of the Products & Powers of Numbers



Loose sheets bound together in 1847 (noted by Comrie).  Comrie Reference Library bookplate with portrait of L.J. Comrie

ID#: B2.76


Compiled in 1781 by Charles Hutton, this is an early book of mathematical tables containing the products of the numbers 1 through 1000 by the numbers 1 through 100. It also contains squares and cubes of numbers and conversion tables for units of measurement.


One of the main problems with handcrafted books is the number of errors. On one page alone, every figure is off by one thousand. With handcrafted calculating and typesetting such problems are unavoidable. Later books of tables were done by the Difference Machine and proved more reliable.

Jacob, Louis F. G.

Le Calcul Mécanique

Paris, Octave Doin et Fils


ID#: B327.84


Jacob was an expert in naval gunnery and director of the French naval laboratory—both jobs would have involved him in computation.


As the 20th century got under way, an increasing need for both business and scientific calculation created an demand for information on the devices available to satisfy the need. In Britain that need was satisfied by the publication of the Napier Handbook (Horsburgh, Handbook of the exhibition, 1914) and in Germany by works of Ernst Martin (Martin, Die rechenmaschinen, 1925). This volume is the equivalent French work. It discusses all forms of calculating machines from the time of Pascal on. Many diagrams explain the inner workings of the machines and analog instruments. The work is a good reference in that, like Die rechenmaschinen of Ernst Martin, it treats not only the standard commercial machines such as Brunsvigas etc, but also the lesser known machines developed by Babbage, Kelvin, Torres, Weiberg, Tchebichef, etc. It represents a ‘state of the art’ just prior to the First World War.


This was part of a series of individual publications forming the Encyclopédie Scientifique. Various sections of the project were under the direction of experts in the field and this volume appeared in the applied mathematics section directed by Maurice d’Ocagne. D’Ocagne was himself an expert in methods of calculation.

Jacobi, C.G.J.

Canon Arithmeticus Sive Tabulae Quibus Exhibenture pro Singulis Numeris Primis


ID#: B1678.01 (Marked B350.81)


Jarvis, Thomas

The Farmer's Harvest Companion and Country Gentleman's Assistant (Ready Reckoner)


1836 9th edition

ID#: B1553.01


Jarvis, Thomas

The Farmer's Harvest Companion and Country Gentleman's Assistant (Ready Reckoner)


1841 10th edition

ID#: B1013.98


Jevons, W. Stanley

The Principles of Science: a Treatise on Logic...

London, Macmillan

1883 (second or third edition)

Jevon's piano logic machine illustrated in the frontispiece

ID#: B331.85


Jevons, the ninth of eleven children, showed unusual abilities while an undergraduate at University College London. While only 18, and still an undergraduate, he was recommended for the job of assayer at the new Australian mint. After five years in Australia, he returned to England to take up his studies in economics, philosophy, and mathematics. Although he obtained an academic position in Liverpool, he was a poor lecturer and left for an appointment at University College in London which would require less public speaking. Four years later he resigned to spend his time writing. He was plagued by ill health and when only 46 years old, drowned, likely because of having a seizure, while swimming in the ocean. Economics and logic were association in English universities and, while he made significant contributions to the early study of economics, he is known for his texts in logic and for the invention of a machine used to demonstrate logical principles to his students.


This is Jevons’ major work. It contains all his contributions to the development of logic set in a discussion of the philosophy of science. He insisted that absolute certainly of observation is impossible for a human and thus all logical deductions from laboratory experiments must be considered true only with a certain probability. He was one of the early explorers of subjects such as methodology of measurement and the errors it contains. He takes his illustrations from the physical sciences and, occasionally, from mathematics. At the time, he was criticized for not including any discussion of the biological sciences. The frontispiece is an illustration of his logical piano.

Jordan, Chas

Tabulated Weights of Angle, Tee and Bulb Iron and Steel

E& F. Spon

1918 7th edition

Ready reckoner with different colored papers

ID#: B1022.98


Kavan, George

Factor Tables of All Numbers up to 256,000

London, Macmillan & Co.


Kavan was "late director of the astrophysical observatory Stara Dala, Czeckoslovakia"

ID#: B1661.01


Kelly, William

The Royal Irish Constabulary Ready Reckoner (for Pay)


1909 (printed as 1897 but 1909 marked in pen)

ID#: B1614.01


Kentish, Thomas

A Treatise on a Box of Instruments and the Slide Rule

Philadelphia, Henry Carey Baird

1864 (late edition)


ID#: B159.81 (Marked B1002.98)


This is a text on the use of a box of instruments (containing compass, parallel ruler, protractor, plane scale, and sector), and a slide rule. The elementary examples are drawn from geometry but the last section describes the use of these devices in sailing and navigation.

Keuffel & Esser Co.

Catalogue, 36th Edition


ID#: B269.83


Keuffel & Esser were an old American company that supplied mathematical instruments. They began manufacturing slide rules in the late 1800s although they were importing them earlier. This catalogue lists their complete stock, which was one of the most complete in the industry. At this time their stock of different types of slide rules alone took 16 pages. An engraving of their general office and factory in Hoboken, N.J., as well as a photographic montage of their various branch offices precedes the catalogue proper.

Keuffel & Esser Co.

Price List of Catalogue

38th Edition

ID#: B1674.01


Keuffel & Esser Co.

Catalog, 41st Edition

Gordon Bell signature.

ID#: B1672.01



Kojima, Takashi

The Japanese Abacus, its use and Theory

Charles E. Tuttle Co., Publishers

ID#: B256.82


La Lande, Jerome

Tables de Logarithms

1805 (1815 printing)

Reprint of the 1760 tables of Calle & La Lande

Spine damaged, poor condition

ID#: B1651.01


Larcanger, Charles

Concordance des Poids Décimaux avec les Poids de Marc

Paris (?) by Cartier for the author


A ready reckoner for converting from the old French systems to the newly introduced metric system.

ID#: B1562.01


Larcanger, Charles

Corcordance des Poids Decimaux avec le Poids de Marc


1836, 2ed edition

A table of the new metric weights and how they relate to the old French system

ID#: ??


Laundy, Samuel lin

Table of Quarter-Squares

London, Charles & Edwin Layton


Used like logarithms for multiplication. Signature of L.M. Milne-Thomson, Nov XXVII inside front cover

ID#: B1009.98


Multiplication may be done by means of a table of quarter squares i.e.,

p x q = (p + q)2/4 – (p – q)2/4.

For example: (25 x 15) = (25+15)2/4 – (25-15)2/4 = 402/4 – 102/4 = 400 – 25 = 375.

Lawes, Sir J. B.

Tables for Estimating Dead Weight & Value of Cattle From Live Weight

For the author


ID#: B1603.01


Lewis, William

The Tinman’s Companion (Ready Reckoner)

Bristol, 1876

ID#: B1556.01


Leybourn, William

Panarithmologia Orthe Sure Traders Guide

1769 15th edition

An edition of the first English ready reckoner – first used after the fire of London to rebuild

ID#: B1024.98


Leybourn was one of the most influential mathematicians/surveyors in London at the time. He first worked with his brother Robert as a printer, but eventually gave up that trade to devote himself to the practice and teaching of mathematics. The change of profession was gradual and this can be noted from examining the names of the publishers in his various works—some being printed by William and his brother and others by his brother alone. He was involved with the publishing of many different mathematical works—his own as well as editing others. He wrote on astronomy, surveying, arithmetic, logarithms and Gunter’s line of numbers, Napier’s bones, and recreational mathematics, many of these are represented in this collection. He later published a large volume (Cursus Mathematicus) in which he essentially summarized the work in his other publications. He was well enough known that, after the Great Fire of London in 1666, he was among the surveyors used before the reconstruction began.


This ready reckoner first appeared in 1693 and went through many editions, some containing a few more tables, and some less.

Livesley, R.K.

An Introduction to Automatic Digital Computers

Cambridge University Press


ID#: B1532.01


Macneil, John (later Sir John Benjamin)

Tables for Calculating the Cubic Quantity of Earth Work

London, Roake & Varty

1833, 1st edition

Good condition

ID#: B368.86


The author was, at this stage, the principle assistant to Telford and this work is dedicated to Telford.  The preface refers to Babbage’s paper and print experiments on tables as follows: “The tables were nearly worked off before I was aware of Mr. Babbage’s valuable investigation as to the best tint of paper, and form of type for insuring distinctiveness in tabular printing. Had I been aware of it I should certainly have availed myself of his important suggestions”

Mathews, Max V.

The Technology of Computer Music

MIT Press


ID#: B1033.98


Mculloch, Neil

The Land Measurer's Ready Reckoner

Glasgow, Blackie & Son


Dedicated to James Thomson, a professor of mathematics at Glasgow University

ID#: B1612.01


Milne William J. (President of the N.Y. State Normal College in Albany)

Standard Arithmetic

American Book Co.

After 1895 – 1923 noted inside front cover

Poor condition

ID#: B1557.01


Milne-Thomson, L.M. and Comrie, L.J.

Standard Four-Figure Mathematical Tables

London, Macmillan & Co.

1931, Edition B, pp. 245

ID#: B1661.01


MIT, office of scientific research and development, national defense research committee, louis ridenour, editor in chief

Vacuum Tube Amplifiers


ID# B1673.01


Molesworth, Sir Guilford L.

Pocket‑Book of Useful Formulae & Memoranda for Civil and Mechanical Engineers

E. & F. N. Spon, Strand. London

ID#: B191.81


Originally compiled in 1862, this is the 22nd edition of a truly pocket‑sized book of formula. Although there is no table of contents, a very thorough index is provided for the 732 pages of tables.

Monier, A.

Conversiond es Prix et Measures Francais en Prix et Measure Anglain

ID#: B1615.01


Moule, Henry

A Table of Interest (Ready Reckoner)



ID#: B1608.01


Murphy, Donald E. and Khillie, Stephen H.

Introduction to Data Communication

Digital Equipment Corporation


signed by Gordon Bell with his notes inside

ID#: B1547.01


Nagaoke, Hantaro and Sakurai, Sadazo

Tables of Theta-Functions

Tokyo, Vol II pp. 1-67 Scientific Papers of the Institute of Physical & Chemical Research Table # 1

1922, December

Signature of L.M. Milne-Thomson

ID#: B1569.01


Napier, John

Logarithmorum Canonis Descriptio


1620 (3ed edition)

Stiff velum binding, good condition

ID#: B210.82


This is one of the most influential books ever published.  It introduced the world to logarithms that were the principle behind most of the methods of computation prior to the invention of the electronic computer.  They are also fundamental in the theory behind many mathematical systems.


This book contains 57 pages of text explaining the uses of logarithms in both plane and spherical trigonometry and 90 pages of tables.  The method of producing the table was not described, but Napier indicated that, should this work be suitably received, he would publish another (the Constructio) on how they were calculated.  He died before the Constructio was finished, but his son, Robert Napier, saw it through production.


These logarithms are not the hyperbolic or Naperian logarithms (to the base e = 2.71828…) that we know today.  First, these were not logarithms of numbers but logarithms of trigonometric sines.  The base is, for all practical purposes, 1/e, although Napier did not create them by any consideration of a base.  The tables are constructed to a radius of 107 (see the essay on the sector for an explanation of how old trigonometric forms depended on the radius of the defining circle) with

sin(90º) = 10,000,000

sin(0º) = 0. 

logarithm of sin(90º) = 0

logarithm of sin(0º) = ∞


The tables are laid out so that each double page contains the values for one degree.  The 61 lines on the double page are for every minute of that degree.  Each line contains 5 entries: the right most two giving the natural sine and its logarithm, the leftmost two giving the cosine and its logarithm, and the middle entry giving the difference between the two logarithms which is actually the logarithm of the tangent of the angle.  Because the sine and cosine are complementary, it is possible to consider the right most two columns as the sine of the complementary angle and this is facilitated by having that angle printed prominently at the bottom of the page.  The tables only go up to 45º because the last part of the quadrant (45º to 90º) can be done by using the complementary columns.


Napier, John

Logorithmorum Canonis Constructio

London (Lugdvni, Apud Bartholomaeum Vincentium sub Signo Victoriae)


2ed edition, but the first with the notes by Henry Briggs (Lucubrationes Aliquot Doctissimi D. Henrici Briggii, pp42-62 notes on logs, spherical triangles, and triangles)

ID#: ??


Napier, John




ID#: B222.82


John Napier was a Scottish laird (a wealthy landowner) who, when time permitted from his daily work of running his estates, took time to take part in the Protestant reform movement and to study mathematics.  He is best known toady for his developments of logarithms but in his own time he was best known for his religious commentaries.  After he had published his logarithms, he published this small work on his Rabdologiae or, as they are better known, Napier’s bones.  The devices were simple to use and quickly gained popularity.  This work went through many different editions and was translated into all major European languages.  Examples of Napier’s bones can be found, only a few years later, in such far away places as China and Japan.  The basic concept of the bones was rapidly developed into a variety of forms from inscribed circles and cylinders, to metallic components in 20th century calculating machines.


This work contains not only the description of the bones, but also Napier’s more sophisticated Multiplicationis promptario and his binary-based chessboard calculation scheme.

Newton, John

Trigonometria Britanica and A Table of Logarithms to 100,000 with Artifical Sines and Tangents


Printed by R & W Leybourn

ID#: B273.82 (Same as B160.81?)


Folio, contemporary blind-ruled calf, rebacked. First edition of John Newton’s valuable treatise on trigonometry dedicated to Lord Richard Cromwell.

Nystrom, J.W.

A Treatise on Screw Propellers and Their Steam Engines



pp 179-225 describes a calculating machine (a circular disk with 2 movable arms – looks more like an astrolabe than a circular slide rule)

ID#: B275.83


Plate XXXII has a drawing of Nystrom’s calculating machine that he said was exhibited at the Franklin Institute Exhibition in 1849. Pages 179‑229 give a complete description of the calculator.

d’Ocagne, Maurice

Traité de Nomographie

Paris, 1899

Good condition

ID#: B1539.01


Maurice d’Ocagne was a student at the École Polytechnique and then became a professor of civil engineering at the École des Ponts et Chaussées.  In 1912 he returned to the École Polytechnique as professor of geometry.  Although best know for his work on nomography, he was interested in all aids to calculation.  He was also interested in the history of science and published several articles on the subject.


D’Ocagne, already well known for his work on nomograms, finally published this work which made him famous.  It not only explores the world of nomograms but also discusses the whole subject of how to create various types of transformations to make them both easy to create and easy to use.

D’Ocagne, Lieutenant-Colonel

Principes Usuels de Nomographie avec

Application  a Divers Problemes Concernant L’artillerie et L’Aviation

Paris, 1920.

ID#: B390.87 (marked B393.87, then B390.87

marked over it)


D'Ocagne, Maurice

Nomographie Les Calculs Usuels Effectues

au Moyen Des Abaques

Paris, 1891

ID#: B391.87 (marked B394.87 then B391.87

marked over it)


Oughtred, William

Trigonometria Hoc est Modes Computandi Triangularum

London, R & L.W. Leybourn


Mainly tables

ID#: B1010.98


William Oughtred was a clergyman and one of the leading mathematicians of his age.  He regularly corresponded with all the major mathematical figures of his day and was responsible for the communication of many mathematical findings.  He is best known for his invention of the circular slide rule.  While a prolific correspondent, he was not given to publishing his own work but readily made his manuscripts available to his students and friends.  The subject matter here is the solution of triangles, both plane and spherical, by using the included tables of sines, tangents, secants, log sines, log tangents, and base 10 logarithms of the integers. This work was likely written about 1618 and it is certainly mentioned in correspondence in 1634.  This reluctance to publish explains why Richard Stokes and Arthur Haughton were the editors of the work.


It was in this book that Oughtred introduced the abbreviations sin and tan although they were not immediately adopted and it waited another hundred years before Euler popularized them.  Oughtred also was a major contributor to the adoption of a number of algebraic symbols that we still use today.


The trigonometric and logarithmic tables were intended to be to 8 decimal places and Stokes mentions in the dedication that when the size of the book was changed it resulted in the tables being unintentionally reduced to 7 decimal digits.  The tables are notable in that each degree of the quadrant is divided into 100 centi-minutes, rather than the usual 60.

Ozanam, M.

Tables des Sinus, Tangents et Secantes et les Logarithmes des Sinus et des Tangents



ID#: B1584.01


Ozanam, M.

Usage du Compass de Propostion

1769 6th edition

ID#: B336.85 (also marked B1018.98)


Jacques Ozanam was destined for the clergy but was much more interested in sciences.  After his father died he gave up studying theology and taught himself mathematics.  He gave free mathematical lectures in Lyon until financial circumstances forced him to begin charging for his services.  He later moved to Paris where he became well known for his mathematical writings. Although he made a good living at his profession, gambling and the good life caused him to be in constant financial problems.  Later in life, political unrest in Europe caused many of his students to leave and his financial situation worsened. After the death of his wife in 1701 he apparently lost interest in many things and led a melancholy life until his death in 1717 (some sources indicate it was 1718).  He was not an original mathematician but wrote on subjects that would provide an income for his family.


By the time he decided to write on the sector, it was a well known instrument and had been developed into many different forms.  The text is a description of a simple sector with only a few scales (line of lines, polygons, planes, solids, and chords) but it would have sufficed for most of the problems encountered by his readers.  In this and all subsequent editions the last half of the book is devoted to “the division of fields.”  Despite the practical name, it is really an elementary discussion of various geometrical problems.

Page, James

The Fractional Calculator or a New Ready Reckoner

c. 1855 3ed edition

ID#: B1552.01



Auvergnat La Famille a L'Oeuvre

Musees D'Art de Clermont-Ferrand

6 Octobre - 8 Novembre 1981

ID#: B258.82


Pearson, Karl

Tables of the Incomplete Beta Function

Cambridge University Press


Signature of Gordon Bell

ID#: B1662.01


Pedder, James

The Farmer's Land Measurer



Preserved in Honeyman-like morocco box (red) but no Honeyman label

Inscribed "Bonaparte" (but likely some kid doing it)

ID#: B1598.01


Peddie, Alexander

The Practical Measurer or Tradesman and Wood Merchants Assistant

Glasgow, Khull, Blackie


(no front cover)

ID#: B1578.01


Peddie, Alexander

The Practical Measurer (Ready Reckoner)



Has frontispiece showing how by proper measurement you can get more timber out of a log than would be indicated by a single measurement

ID#: B1650.01


Peters, J.

New Calculating Tables for Multiplication and Division for All Numbers for 1 to 4 Places



Signed by L.M. Milne-Thomson

ID#: B1591.01


Petrick, C.L.

Multiplicantions-Tabllen Geprüft mit der Thomas'schen Rechenmaschine

(title in German, Russiand, and French)



ID#: B1587.01


Peurbach, Georg

Tractatus Georgii Peurbachii Super Propositiones Ptolemaei de Sinibus & Chordis.

1468 ‑ 1501, First edition

Folio, 1‑G4‑Gr blank, small tear in E3 affecting a few figures, repaired in margin, minor waterstain, mostly marginal; a large crisp copy in antique style blindstamped calf

ID#: B333.85


The first printed trigonometrical tables. They were computed by Regiomontanus during his stay in Hungary in 1468. He had first computed a sexagesimal sine table and then realised the advantage of a decimal base and computed a decimal sine table; both tables are printed here. The tables are preceeded by Regiomontaus’ essay on the construction of since tables and an essay on the computation of sines and chords by Peurbach. The work was edited bythe astronomer Johann Schoner (Adams P 2283,  Zinner 1781).

Peyronnet, Don Juan Bautista (translator) (lalande)

Tablas de Logarithmos Para los Numeros y Senos poy Gerouimo Lalaude



ID#: B1555.01


Pickworth, Charles

Instructions for the Use of A.W. Faber's Improved Calculating Rule (Slide Rule)

Newark, N.J., A.W. Faber

c. 1900

ID#: ??


Pinto, J. Carlos

The Simplex Navigation and Avigation Tables

Fayal, Azores


presentation copy by the author

ID#: B1622.01


Poletti, L.

Elenco di Numeri Primi fra 10 Milioni e 500 Milioni Estratti da Sirie Quadaatiche



ID#: B1550.01


Prescott, George B.

History, Theory, and Practice of the Electric Telegraph

Ticknor and Fields, Boston


Well‑illustrated, good condition

ID#: B162.81


Contents:  1. Electrical Manifestations;  2. Propagation of Electricity; 3. Magnetism; 4. General Principles of the Electric Telegraph. 5. The Morse System. 6. The Needle System;  7. House’s Printing Telegraph; 8. Bain’s Electro‑chemical Telegraph; 9. The Hughes System; 10. The American Printing Telegraph; 11. Horne’s Electro‑thermal Telegraph; 12. The Dial Telegraphs; 13. Subterranean and Submarine Lines; 14. The Atlantic Cable; 15. Progress of the Electric Telegraph; 16. Various Applications of the Electric Telegraph; 17. Construction of Telegraph Lines; 18. Atmospheric Electricity; 19. Terrestrial Magnetism; 20. Miscellaneous Matters; 21. Early Discoveries in Electro‑dynamics;  22. Galvanism.  Index.

Radar electronic fundamentals

NAVSHIPS 900,016 Bureau of ships

ID#: B1534.01



Railroad telegraph magazines


ID#: B58.80


Rivard, M., Professeur de Philosophie en L’Universite de Paris

Trignometrie Rectiligne et Spherizue avec la Construcion des Tables des Sinus, des Tangentes, des Secantes et des Logarithms


Universite de Paris

ID#: B224.82



A Programmed Sequence on the Slide Rule

Chemical Education Material Study

W.H. Freeman and Company, San Francisco


ID#: B1675.01


Rowning, J.

Observations made at Dinapoor June 4, 1769 on the planet Venus when passing over the Sun’s disk

Section from Phil Trans? P. 239-256, rebound in leather

ID#: ?? (See B48.79)


Saxton, E.

Saxton's Logs for Four-Place Work, Table and Text

Washington DC for the author


ID#: B276.83


Scale, Bernard

Tables for the Easy Valuating of Estates

London, for the author


Engraved title page and dedication page

ID#: B1593.01


Scheffelt, Michel

Pes Mechanicus Artificialis Uber Neu-Erfundener Was-Stab

Berligts Daniel Barthalonaai


Frontispiece shows a sector. This uses accents to illustrate decimal places (a technique from pre-invention of the decimal point) and illustrates galley method of division.

ID#: B1536.01 (Marked 382.87)


Michael Scheffelt was a mathematics teacher in Ulm who eventually gained a professorship at the university there.  He published several books on mathematical instruments during his life.

Schoten, Francois (Prof. Of math at the University of Leyden)

Tables de Sinus Tangentes et Secant ad Radium 10,000,000

Brusselles, Lambert Marchant


ID#: B367.86



Sexton's Boiler-Makers' Pocket Book

ID#: B1682.01



Shaw, William

Shaw’s Universal Interest Table

Maybole Scotland, for the author

1897 (from preface)

back loose

ID#: B1546.01


Sike's tables of the concentrated strength of spirits



ID#: B1581.01


Smart, John

Tables of Interest

J. Darby & T. Browne

1726, 1st edition

ID#: B1623.01


Speidell, Euclid

Logarithmotechnia or the Making of Numbers Called Logarithms to 25 Places From a Geometric Figure

Henry Clark



ID#: B281.83


Stanley, Philip E.

Boxwood & Ivory, Stanley Traditional Rules, 1855‑1975

The Stanley Publishing Co., Westborough, 1984
ID#: B329.84


Strunz, Hugo

Mineralogische Tabellen



ID#: B1549.01


Svoboda, Antonin  (edited by Hubert M. James)

Computing Mechanisms and Linkages

New York, Dover Publications


Unabridged republication of the work first published by McGraw‑Hill Book Company, Inc. 1948

ID#: B253.82


Tables Annuelles de Constantes et Données Numériques, Vol I

1910 reissue in 1924


Tables Annuelles de Constantes et Données Numériques, Vol II



Tables Annuelles de Constantes et Données Numériques, Vol III

1912, reissue in 1914


Tables Annuelles de Constantes et Données Numériques, Vol IV



Tables Annuelles de Constantes et Données Numériques, Vol V



Tables Annuelles de Constantes et Données Numériques, Vol VI



ID#: B1666.01


Taylor, Michael

A Sexagesimal Table

London, William Richardson


ID#: B1589.01


Thomas, M.

Instruction Pour se Servir de l'Arthmometre Machine a Calculer Inventee par M. Thomas de Colmar


1852 (1st editon???)

Binding of A.S.A.R. Louise Marie de Bourbon Regente des Duches de Parme et de Plaisance with silk endpapers.

ID#: B282.83


Charles Xavier Thomas was the first to produce a commercially available calculating machine.  In 1821 he submitted, to the Société d’Encouragement pour L’Industrie Nationale in Paris, a calculating machine he had constructed.  He is usually thought of as the founder of the calculating machine industry because any earlier producer of machines did so in such limited quantities as to not constitute a business.  Thomas remained the only serious producer of calculating machines until Arthur Burkhardt began a firm in Germany in 1878. The Thomas factory produced about 1500 machines between 1821 and 1878. Of this number, 60% were exported, about 30% were capable of using 6 decimal place numbers, 60% were 8 decimal place, and 10% were 10 decimal places in the input mechanism (the result register would usually contain twice as many decimal places as the input mechanism).  The interior workings were based on the Leibniz stepped drum.  The first few machines were driven by a ribbon wrapped around a drum which, when pulled, would rotate the mechanism one full revolution.  This drive mechanism was replaced with a crank for the majority of the production.

Thompson, Silvanus P. and Thomas, Eustace

Electrical Tables and Memoranda

London, E&F. Spon


Small pocket size. 120 pages, plus an index. marked up by the owner.

(Silvanus P. Thompson was the same person who translated De Magnete)

ID#: B366.86



Toyes, A

Tables de Comparaison entre les Mesures Anciennes usitees dan le Departement de L’Aube, etc.

Chex Sainton, Pere et Fils, Imprimeurs du Departement, 1800


Sheep‑backed boards

ID#: B272.83


May be a first edition. A rare explication of the new metric system.

Traill, Thomas W.

Boilers Marine and Land, Their Construction and Strength (Ready Reckoner)


1906 (4th edition)


ID#: B1613.01


Vlacq (Valcco), Adriaan and Briggs, Henry (Henrici Briggs)

Trigonometria Artificialis




ID#: B279.83


Adriaan Vlacq was a member of a wealthy family who translated several Latin books into Dutch, which were then published by Ezechiel De Decker.  These books included Napier’s Rabdologia and Briggs’ Arithmetica logarithmitica.  It would appear that Valcq financed the 1626 printing by Pierre Rammasein of Gouda—a firm in which he likely had a financial interest.  The next year, 1627, De Decker published Tweede deel, a full set of logarithms for number from 1-100,000 (using the Briggs’ values for 1-20,000 and 90,000-100,000 and, with credit to Vlacq in the preface for the rest).  Vlacq took out the privilege on these logarithms and had them printed, in his own name, in 1628.  The Tweede deel was thus the first complete set of logarithms but it remained unknown until rediscovered in 1920.  The Vlacq logarithms of 1628 were the famous “first complete” set.  They were printed with Briggs’ preface but to only 10 places of decimals rather than the 14 used by Brigg’s.  Vlacq considered this as the second edition of Briggs’ tables but it is really a new work with only the preface and 30% of the table being due to Briggs.

Wass, C.A.A.

Introduction of Electronic Analogue Computers

London, Perganon Press

1956, 2ed edition

Ex library binding

ID#: B1537.01



As A Man Thinks

International Business Machines Corporation


ID#: B1674.01


Wentworth, George and Smith, David Eugene

Essentials of Arithmetic Advanced Book

Ginn and Co.

1915 (copyright)

Fair condition

ID#: B1011.98



Western Union Rules and Instructions

ID#: B60.80


Whitehills Calculator on the Decimal System for the Use of Jewelers, Goldsmiths ...

Birmingham, Wm Davies

1897 new edition

ID#: B1554.01


Whiting, John

The Cube Calculator (Ready Reckoner for Volumes)


ID#: B1585.01



Wilkes, M.V., Wheeler, D.J., Gill, Stanley

Programs for an Electronic Digital Computer

 Addison Wesley Publishing Company

1951, USA, Second Edition, 1957

ID#: B286.70


Willich, Charles M.

Popular Tables

Longmans Green & Co.

1904 (13th impression)

ID#: B1605.01


Wilson, John

The Infallible Time and Money Table for Calculating Seamen's Wages

London, Norie & Wilson

1901, 10th edition

ID#: B1582.01


Wood, W.

Wood's Improved Tables of Discount


1841 6th edition


ID#: B1611.01


Wood, W.

Wood's Improved Tables of Discount


1850 9th edition

ID#: B1003.98


Zehnstellige logarithmen

Ester Band



Signature of L.M. Milne-Thomson

ID#: B1664.01


Zehnstellige logarithmen

Zwiter Band



Signature of L.M. Milne-Thomson

ID#: B1663.01