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Arithmometer

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The arithmometer ( French : arithmomètre ) was the first digital mechanical calculator strong enough and reliable enough to be used daily in an office environment. This calculator could add and subtract two numbers directly and could perform long multiplications and divisions effectively by using a movable accumulator for the result.

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53-467: Patented in France by Thomas de Colmar in 1820 and manufactured from 1851 to 1915, it became the first commercially successful mechanical calculator. Its sturdy design gave it a strong reputation for reliability and accuracy and made it a key player in the move from human computers to calculating machines that took place during the second half of the 19th century. Its production debut of 1851 launched

106-734: A branch of his factory in Germany. Unfortunately, he had to sell it in 1892 to Grimme, Natalis & Co. because of the difficulty of having two manufacturing facilities so far apart. Grimme, Natalis & Co. started production in Braunschweig and sold their machines under the Brunsviga brand name (Brunsviga is the Latin name of the town of Braunschweig ); they became very successful on their own. After Odhner's death, in 1905, his sons Alexander and Georg and son-in-law Karl Siewert continued

159-504: A lighter, smaller pinwheel disk. This is why the two machines share the same name but look completely different. Odhner developed the first version of his mechanical calculator in 1873. In 1876, he agreed to build 14 machines for Ludvig Nobel , his employer at the time, which he delivered in 1877. He patented his original machine in several countries in 1878–1879 and an improved version of it in 1890. The serial production began with this improved machine in 1890. In 1891 Odhner opened

212-433: A magazine published in 1855 shows that a 10-digit machine sold for 250 francs and a 16-digit machine sold for 500 francs. In 1856, Thomas de Colmar estimated that he had spent 300,000 francs of his own money during the thirty years that he perfected his invention. The arithmometer is a brass instrument housed in a wooden box often made of oak or mahogany and for the oldest ones ebony (solid or veneer). The instrument itself

265-580: A new numbering scheme at 500 (the number of arithmometers she had built with the old scheme) and was at serial number 1700 when she sold the business to Alphonse Darras in 1915. Alphonse Darras went back to the old serial numbers (while adding approximately the number of machines made by Veuve L. Payen) and restarted at 5500. An article published in January 1857 in The Gentleman's Magazine best describes it: M. Thomas's arithmometer may be used without

318-417: A quarter one can extract the square root of sixteen figures, and also prove the accuracy of the calculation. The working of this instrument is, however, most simple. To raise or lower a nut-screw, to turn a winch a few times, and, by means of a button, to slide off a metal plate from left to right, or from right to left, is the whole secret. Instead of simply reproducing the operations of man's intelligence,

371-428: A rapidity and infallibility which defies all the calculators in the world. The arithmometer is, moreover, a simple instrument, of very little volume and easily portable. It is already used in many great financial establishments, where considerable economy is realized by its employment. It will soon be considered as indispensable, and be as generally used as a clock, which was formerly only to be seen in palaces, and

424-537: A serial number of 500. The constant use of some of the machines exposed some minor design flaws like a weak carry mechanism, which was given an adequate fix in 1856, and an over rotation of the Leibniz cylinders when the crank handle is turned too fast, which was corrected by the addition of a Maltese cross . A patent covering all these innovations was filed in 1865. Because of its reliability and accuracy, government offices, banks, observatories and businesses all over

477-505: Is divided into two parts. The bottom part is composed of a set of sliders that are used to input the value of the operands. On the left of it is a control lever which allows to select the current operation, namely Addition/Multiplication or Subtraction/Division . A crank located on the right of the sliders is used to execute the operation selected by the control lever. The top part is a movable carriage composed of two display registers and two reset buttons. The top display register holds

530-434: Is important to know where the decimal point is, when you read the quotient (some markers, first ivory and then metal, were usually sold with the machine and used for this purpose). In 1885, Joseph Edmondson of Halifax , UK, patented his 'Circular Calculator' – essentially a 20-digit arithmometer with a circular carriage (the slides being arranged radially around it) instead of the straight sliding carriage. One benefit of this

583-578: Is now in every cottage. The various models had capacities of 10, 12, 16 and 20 digits which gave results ranging from 10 billion (minus 1) to 100 quintillion (minus 1) . Only two machines were built outside this range: The last 10-digit arithmometers were built in 1863 with the serial numbers 500–549. After this the smallest machines were 12-digit machines. All the machines, regardless of capacity, were about 7 inches (18 cm) wide and from 4 up to 6 inches (10 to 15 cm) tall (the tallest ones had an incline mechanism). A 20-digit machine

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636-554: Is the 1822 machine on display at the Smithsonian Institution in Washington, D.C. Manufacturing started in 1851 and ended around 1915. There were about 5,500 machines built during this sixty-year period; 40% of the production was sold in France and the rest was exported. The manufacturing was managed by: During the early part of manufacturing, Thomas differentiated machines by capacity and therefore gave

689-479: The 9's complement method for subtracting. Both of these features would be dropped in later designs. The first machine was built by Devrine, a Parisian clockmaker, and took him a year to build. But, in order to make it work, he had to modify the patented design quite substantially. The Société d’encouragement pour l’industrie nationale was given this machine for review and it issued a very positive report on December 26, 1821. The only known prototype of this time

742-484: The French Army where he had to do a great deal of calculations. He made use of principles from previous mechanical calculators like the stepped reckoner of Leibniz and Pascal's calculator . He patented it on November 18, 1820. This machine implemented a true multiplication where, by just pulling on a ribbon, the multiplicand entered on the input sliders was multiplied by a one-digit multiplier number and it used

795-441: The 20th century, independent companies were set up all over the world to manufacture Odhner's clones and, by the 1960s, with millions sold, it became one of the most successful type of mechanical calculator ever designed. Odhner thought of his machine in 1871 while repairing a Thomas' Arithmometer (which was the only mechanical calculator in production at the time) and decided to replace its heavy, bulky Leibniz cylinder by

848-639: The Arithmometer went on for another 40 years until around 1914. He married Francesca (Frasquita) Garcia de Ampudia Alvarez in Seville in 1812. She came from an old Andalusian noble family. Together, they had ten children, including: Joseph Thomas d'Alvarez; Charlotte (Countess de Rancy); Louis Thomas, who married Livia Carafa, Duchess of Bojano and took the name of Thomas de Bojano; Frasquita (Mrs Soultzner d'Enschwyl); and Henriette (Countess de Dalmas). Odhner Arithmometer The Odhner Arithmometer

901-597: The Compt ometer , and on some portable pocket calculating machines of the 1940s. Burroughs corporation started as the American Arithmometer Company in 1886. By the 1920s it had become a generic name for any machine based on its design with about twenty independent companies manufacturing Thomas' clones like Burkhardt, Layton, Saxonia, Gräber, Peerless, Mercedes-Euklid, XxX, Archimedes, etc. Thomas started to work on his machine in 1818 while serving in

954-579: The GAN company, which remains operational to this day. The first model of the Arithmometer was introduced in 1820, and as a result Thomas was made Chevalier of the Legion of Honor in 1821. Despite this, Thomas spent all of his time and energy on his insurance business, therefore there is a hiatus of more than thirty years in before the Artitometer's commercialization in 1852. Because of the Arithmometer, he

1007-474: The Leibniz wheels, which are themselves linked by a carry mechanism. In the arithmometer the Leibniz wheels always turn the same way. The difference in between addition and subtraction is achieved by a reverser operated by the execution lever and located in the movable display carriage. First lift the carriage using the reset buttons located at its extremities, then slide it. The carriage can only be moved to

1060-598: The Russian government moved the old production facility to Moscow and commercialized their calculator under the Felix Arithmometer name which went on well into the 1970s. In 1950, with millions of clones manufactured, the Odhner arithmometer was one of the most popular type of mechanical calculator ever made. The number of machines produced increased constantly until the appearance of the electronic calculators in

1113-598: The UK, which started in 1883. Eventually about twenty European companies built clones of the arithmometer until the beginning of World War I. The arithmometers of this period were four-operation machines; a multiplicand inscribed on the input sliders could be multiplied by a single-digit multiplier by simply pulling on a ribbon (quickly replaced by a crank handle). It was a complicated design and very few machines were built. Additionally, no machines were built between 1822 and 1844. This hiatus of 22 years coincides almost exactly with

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1166-431: The accumulator can be individually set with a knob situated right below it. This feature is optional for the operation counter register. The accumulator and the result counter are in between two buttons used to reset their content at once. The left button resets the accumulator, the right button resets the operation counter. These buttons are also used as handles when lifting and sliding the carriage. The animation on

1219-414: The arithmometer relieves that intelligence from the necessity of making the operations. Instead of repeating responses dictated to it, this instrument instantaneously dictates the proper answer to the man who asks it a question. It is not matter producing material effects, but matter which thinks, reflects, reasons, calculates, and executes all the most difficult and complicated arithmetical operations with

1272-401: The arithmometer stopped in 1915, during World War I. Alphonse Darras, who had bought the business in 1915, was unable to restart its manufacturing after the war because of the many shortages and a lack of qualified workers. Because it was the first mass-marketed and the first widely copied calculator, its design marks the starting point of the mechanical calculator industry. Its user interface

1325-416: The carriage is back to its default position and the number in the accumulator is less than the divisor, then the quotient will be in the operations counter and the remainder will be what is left over in the accumulator. In order to increase the decimal division accuracy add as many zeros as required to the right of the dividend but still input it right justified and then proceed as with an integer division. It

1378-401: The carriage then reset the display registers and input the minuend, right justified, into the accumulator using the corresponding knobs. Lower the carriage to its default position and then set the subtrahend onto the input sliders and turn the execution lever once. Set the control lever to Subtraction/Division and set the divisor onto the input sliders. While keeping the carriage lifted, reset

1431-493: The development of the machine in 1848. In 1850, as part of a marketing effort, Thomas built a few machines with exquisite Boulle marquetry boxes that he gave to the crown heads of Europe. He filed two patents and two patents of addition in between 1849 and 1851. The multiplier was removed, making the arithmometer a simple adding machine, but thanks to its moving carriage used as an indexed accumulator, it still allowed for easy multiplication and division under operator control. It

1484-421: The display registers, set the dividend, right justified, using the corresponding knobs and shift the carriage so that the highest number in the dividend corresponds to the highest number in the divisor. Lower the carriage then turn the execution lever as many times as required until the number situated above the divisor is less than the divisor, then shift the carriage once to the left and repeat this operation until

1537-592: The early 1970s. For instance, the production of one of them, the Felix arithmometer of Russia, peaked in 1969 with 300,000 machines made. Odhner's arithmometer was copied, manufactured and sold by many other companies all over the world. In Germany there was Thales , Triumphator , Walther and Brunsviga . In England there was Britannic and Muldivo . In Sweden Multo and Original-Odhner . In Russia Felix and in Japan Tiger and Busicom which, incidentally,

1590-427: The execution lever adds the number from the sliders to the accumulator. So input the first number and turn the lever once (it adds it to zero) then enter the second number and turn the lever once more. Set the control lever to Addition/Multiplication and reset the display registers. To multiply 921 by 328, first input 921 on the input sliders and then turn the execution lever 8 times. The accumulator shows 7,368 and

1643-510: The framework, and one could leave it there while making an entirely new calculation using the fresh set of display windows now brought into alignment with the sliders. Thus the machine could be said to have a rudimentary memory. See the Rechenmaschinen-Illustrated website ( External links below) for pictures and a description. Charles Xavier Thomas Charles Xavier Thomas de Colmar (May 5, 1785 – March 12, 1870)

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1696-554: The idea for the Arithmometer, recognizing the need for a tool to assist with the extensive calculations required for his duties. After returning to civilian life, in 1819, he co-founded the fire insurance company "Phoenix." However, he left quickly because of the lack of support for his new ideas from his partners and shareholders. Ten years later, in 1829, he started the fire insurance company "Le Soleil" that he grew by merger and acquisitions until his death. In 1843 he started another insurance company called "L'Aigle incendie." By combining

1749-417: The least trouble or possibility of error, not only for addition, subtraction, multiplication, and division, but also for much more complex operations, such as the extraction of the square root, involution, the resolution of triangles, etc. A multiplication of eight figures by eight others is made in eighteen seconds; a division of sixteen figures by eight figures, in twenty four seconds; and in one minute and

1802-618: The management of Louis Payen, and later his widow, many improvements were introduced, such as an incline mechanism, a removable top, cursors and result windows that were easier to read, and a faster re-zeroing mechanism. Many clone makers appeared during that period, mostly in Germany and the United Kingdom. Eventually twenty independent companies manufactured clones of the arithmometer. All these companies were based in Europe but sold their machines worldwide. The fundamental design stayed

1855-421: The mechanical calculator industry which ultimately built millions of machines well into the 1970s. For forty years, from 1851 to 1890, the arithmometer was the only type of mechanical calculator in commercial production, and it was sold all over the world. During the later part of that period two companies started manufacturing clones of the arithmometer: Burkhardt, from Germany, which started in 1878, and Layton of

1908-399: The operation counter shows 8. Now, shift the carriage to the right once and turn the lever 2 times, the accumulator shows 25,788 and the operation counter shows 28. Shift the carriage one last time to the right and turn the lever 3 times, the product 302,088 appears on the accumulator and the operation counter displays the multiplier 328. Set the control lever to Subtraction/Division . Lift

1961-586: The period of time during which the British government financed the design of Charles Babbage 's difference engine , which on paper was far more sophisticated than the arithmometer, but wasn’t finished at this time. In 1844 Thomas reintroduced his machine at the Exposition des Produits de l'Industrie Française in the newly created category of Miscellaneous measuring tools, counters and calculating machines but only received an honorable mention. He restarted

2014-556: The production and about 23,000 calculators were made until the factory was nationalized during the Russian revolution and was forced to close down in 1918. This makes the Brunsviga arithmometer, with its 1892 start, the longest-lasting Odhner type calculator in production. Towards the end of 1917, the Odhner family went back to Sweden and restarted the manufacturing of their calculator under the Original-Odhner name. In 1924,

2067-416: The result of the previous operation and acts as accumulator for the current operation. Each command adds or subtracts the number inscribed on the sliders to the part of the accumulator directly above it. The lower display register counts the number of operations performed at each index therefore it displays the multiplier at the end of a multiplication and the quotient at the end of a division. Each number in

2120-409: The right initially. Release it when it is above the index you want (ones, tens, hundreds, ...). First lift the carriage using the reset buttons located at its extremities, then turn them to reset the display registers. The left button resets the accumulator, the right button resets the operation counter. Set the control lever to Addition/Multiplication and reset the display registers. Each turn of

2173-410: The same serial number to machines of different capacities. He corrected this in 1863, giving every machine its own unique serial number starting with a serial number of 500. This is why there isn't any machine with a serial number in between 200 and 500. From 1863 to 1907 the serial numbers were consecutive (from 500 to 4000) then, after patenting a rapid zeroing mechanism in 1907, Veuve L. Payen started

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2226-543: The same; and after 50 years at the top, the arithmometer lost its supremacy in the mechanical calculator industry. While in 1890, the arithmometer was still the most produced mechanical calculator in the world, ten years later, by 1900, four machines, the comptometer and Burroughs' adding machine in the USA, Odhner's Arithmometer in Russia, and Brunsviga in Germany had passed it in volume of machines manufactured. Production of

2279-461: The side shows a nine-toothed Leibniz wheel coupled to a red counting wheel. The counting wheel is positioned to mesh with three teeth at each rotation and therefore would add or subtract 3 from the counter at each rotation. The computing engine of an arithmometer has a set of linked Leibniz wheels coupled to a crank handle. Each turn of the crank handle rotates all the Leibniz wheels by one full turn. The input sliders move counting wheels up and down

2332-565: The symbol of the Sun (soleil), representing the previous kings of France , with the Eagle (aigle), reminiscent of Napoleon , he appealed to a broad spectrum of customers in the politically divided 19th-century France. At the time of his death, the "Aigle - Soleil" group stood as the largest insurance entity in France, with him owning 81% of it. Eighty years later, in 1946, it underwent nationalization and eventually merged with "La National" in 1968 to form

2385-399: The world started using the arithmometer in their day-to-day operations. Around 1872, for the first time in calculating machine history, the total number of machines manufactured passed the 1,000 mark. In 1880, twenty years before the competition, a mechanism to move the carriage automatically was patented and installed on some machines, but was not integrated into the production models. Under

2438-456: Was 2 ft 4 in (70 cm) long while the length a 10-digit machine was around 1 ft 6 in (45 cm). A 12-digit arithmometer sold for 300 francs in 1853, which was 30 times the price of a table of logarithms book and 1,500 times the cost of a first-class stamp (20 French cents), but, unlike a table of logarithms book, it was simple enough to be used for hours by an operator without any special qualifications. An advertisement taken from

2491-622: Was a French inventor and entrepreneur best known for designing, patenting, and manufacturing the first commercially successful mechanical calculator , known as the Arithmometer . Additionally, he founded the insurance companies Le Soleil and L'aigle, which, under his leadership, became the number one insurance group in France during the early years of the Second Empire . Born Charles Xavier Thomas in Colmar , France , his father

2544-512: Was a doctor and member of the town council. After a short employment in the French administration, Thomas joined the French army in 1809. By 1813, he had risen to the position of General Manager of the supply store for all the armies stationed in Spain. His responsibilities expanded further when he was appointed Inspector of Supply for the entire French army. It was during this period that he conceived

2597-518: Was a very successful pinwheel calculator invented in Russia in 1873 by W. T. Odhner , a Swedish immigrant. Its industrial production officially started in 1890 in Odhner's Saint Petersburg workshop. Even though the machine was very popular, the production only lasted thirty years until the factory was nationalised and closed down during the Russian revolution of 1917 . From 1892 to the middle of

2650-407: Was introduced in the UK at The Great Exhibition of 1851 and true industrial production started in 1851. Each machine was given a serial number and user manuals were printed. At first, Thomas differentiated machines by capacity and therefore gave the same serial number to machines of different capacities. This was corrected in 1863 and each machine was given its own unique serial number starting with

2703-486: Was raised to the level of Officier of the Légion d'honneur in 1857. By the time of his death in 1870, his manufacturing facility had built around 1,000 Arithmometers, making it the first mass-produced mechanical calculator in the world, and at the time, the only mechanical calculator reliable and dependable enough to be used in places like government agencies, banks, insurance companies and observatories.. The manufacturing of

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2756-424: Was that the carriage always remained within the footprint (to use a modern term) of the machine instead of overhanging the case at one side when the higher decimal places were in use. Another was that one could make a calculation of up to ten places, using half the circumference of the carriage, and then turn the carriage through 180°; the result of the calculation was locked in place by means of brass prongs mounted on

2809-471: Was used throughout during the 120 years that the mechanical calculator industry lasted. First with its clones and then with the Odhner arithmometer and its clones, which was a redesign of the arithmometer with a pinwheel system but with exactly the same user interface. Over the years, the term arithmometer or parts of it have been used on many different machines like Odhner's arithmometer, the Arith maurel or

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