Luigi Torchi

Acknowledgement to my correspondent Mr. Silvio Hénin, Milan, Italy, for his pioneering work on Torchi’s calculating machine.
Georgi Dalakov

The machine of the Italian Luigi Torchi from Milan was the first full-keyboard/direct multiplication machine in the world, moreover, it was the first practical keyboard calculator, as the earlier key-driven adding machine, described by the English engineer James White, seems to remain only on paper. Some 40 years will be needed for the direct multiplication machine to be reinvented by the American Edmund Barbour in 1872.

In 19th century, in Milan operated the R.I. Istituto Lombardo Veneto di Scienze, Arti e Lettere (Royal Imperial Lombard-Venetian Institute of Sciences, Arts and Letters), founded by Napoleon in 1797. Among the initiatives of this body, there was the institution of the Premj d’Industria (Prizes for Industry), awarded every year to those entrepreneurs and firms that achieved distinction in their areas of activity. In 1834 the Golden Medal was awarded to the local carpenter Luigi Torchi for the invention and construction of a Macchina pei Conteggi (counting machine). In charge of the assignment were the mathematician Gabrio Piola and the astronomer Francesco Carlini.

The Acts of the Solemn Distribution of Prizes include:
A young carpenter named Louigi Torchi… with no more than a tincture in the science of numbers, driven only by the strength of his ingenuity, imagined and performed with the petty means that he had at his disposal, pieces of wood and iron wire, a species of that machine which will perform the arithmetic operations, which first imagined Pascal, and after him few other mechanical and mathematical disciples…

In the following years, the arithmetic machine enjoyed a high local reputation, to the point that Torchi’s name was listed among the “Italians distinguished in science, literature, and the arts”.

Francesco Carlini was so enthusiastic about Torchi’s machine to ask the Government for an appropriation to build a more reliable metal model for the activities of the Brera’s Astronomical Observatory. On 6 May 1840, the Government confirmed the authorization with the following letter: “The Government authorizes the direction of the Imperial Royal Observatory to build the machine for counting, imagined by the carpenter Torchi, for the amount of 1000 Lire.” Carlini summoned Torchi: “I invite you to meet me in order to take the concert and fix the price”. At this point the story seems to come to an end, every trace of the machine is lost and we do not know if Torchi replied to Carlini’s letter or ever accepted the proposal, but it seems the improved metal exemplar was never built.

Thirty-two years later, in 1872, the famous Italian astronomer Giovanni Schiaparelli (who first described the canals on Mars) examined what remained of Torchi’s machine and found it “lacking many pieces, almost all the front part containing the device for the preparation [the keyboard] and the reading of the results is missing”. Schiaparelli concluded that “the completion and repair require not only to examine the machine to get an idea of the nature of its mechanism but also a long and expensive work of a clever craftsman”.

The ingenuity of Luigi Torchi revealed itself in another instance. In 1835 he invented a horse-less cart, exploiting the energy of the water stream, that moved along the canal towing-path, dragging the barge. An experiment was performed in October 1835 in the presence of H. M. the Viceroy: the boat and the barge went along a 212 meters stretch in 13 minutes and 25 seconds (0.948 Km/h). For this achievement, in 1837 Torchi was awarded another prize by the Institute, the Silver Medal. The fame of this invention spread as far as France, as it can be read in an article in the Mémorial encyclopédique et progressif des connaissances. Another known to us invention of Torchi is an improved “pendulum level” from 1858.

Almost nothing has been published on the mechanism of Torchi’s calculator. Most of the sources available just praise the machine, e.g. in Piola and Carlini’s report of the award: “It [the machine] responds to the touch of the keys [performing] the first three arithmetical operations with such a rapidity that the most experienced [human] computer cannot match its speed”, and also “it is especially of great help when several multiplications should be carried out, where a factor remains constant, as for proportionate shares, to reduce weights and measures of one country into another’s and it is useful to relieve the painful work of the [human] computers of tables.”

Only two documents propose a more thorough description of Torchi’s calculator, perhaps both by the same author; one is the hand-written Report of the Award Committee, and the second is an article published in the journal “La Fama” in 1836, where we can find the description of the operations and the only known picture of the machine (see the sketch below). The Report of the Award Committee includes: This combination of a constant and a variable number within certain limits, can be obtained by toothed sprockets and it is amazing to observe their particular configuration and bizarre teeth pattern. In spite of the poverty of the descriptions, two important features strike the attention: it was a “full-keyboard calculator” and it performed multiplication “instantaneously”.

The calculating machine of Luiggi Torchi
The calculating machine of Luigi Torchi (© Biblioteca Braidense, Milan, Italy)

Unless the fortuitous discovery of other documents or, almost impossible, of the machine or of parts of it, we cannot draw any definitive conclusion on the principle of operation of the Torchi’s contrivance and its innovative value. The lack of information may be attributable to Torchi himself, who would not have allowed any accurate inspection of his calculator to avoid possible plagiarism. In those times a craftsman was hardly protected from copies and Torchi’s bent on secrecy seems thus understandable.

The latest documented news about Luigi Torchi is the 1858 article about the pendulum level, written by Angelo Parrocchetti and Schiaparelli’s notes of 1872. If in nearly forty years since the prize, nothing more was recorded about the calculating machine and its inventor, one should think of a serious reason.

Why was the metal prototype never built? We can imagine that maybe the calculator was not as reliable as the enthusiastic descriptions bring us to understand?! Or maybe Torchi himself was not self-confident enough to work with different technology and with greater precision, and yet he was a carpenter, while the experience of a watchmaker or a scientific instruments maker was more appropriate?! Or maybe, finally, the inventor claimed more than the promised 1000 Lire?!

What happened to the prototype of his calculator? We know that it was probably exhibited in the Palace of Science and Arts of Brera from 1834 to 1837. It was then brought back to Torchi’s workshop, to be found again at the Brera Palace in 1872, when it was examined by Schiaparelli. We can imagine that, by that time very damaged and built with perishable material, it did not survive longer.

Strangely, almost nothing is known about this remarkable inventor—Luigi Torchi, except that he was born in 1812 and worked at the southern borders of the city of Milan (he lived in Borgo San Gottardo n° 1023, a neighborhood in Milan) as a mill carpenter. Torchi probably died before 1872. The exact details of his death have not been found in the city archives in Milan, as well as those relating to his origins, so probably Torchi was born and died far from the Lombard capital.

1. S. Hénin, La macchina calcolatrice del falegname Luigi Torchi, PRISTEM Lettera Matematica, Luglio 2008
2. S. Hénin, Two Early Italian Key-driven Calculators, IEEE Annals of the History of Computing, 2010. n. 1