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Introduction
To Euler's Correspondence with Frederick II
September 4, 1741- February 1, 1777
by Eduard Winter


Frederick II played, without any doubt,
an important role in Euler's life during the period of 1741-1765. Under the tutelage of this king at the Berlin Academy of Sciences, Euler sustained a theoretical and applied oeuvre which has been entered forever into the annals of the history of science. There is, as well the Frederick II and Euler correspondence reflecting the celebrated genius' activity during his Berlin period demanding a special section in this edition of Euler's letters. The total is 87 letters, 28 of which are Euler's.

This correspondence constitutes a wealth of information, but what is surprising, is that it does not measure up to the personal relations between Euler and Frederick II. This is explained by the paucity of direct contact with Euler. Their relationship passed through his administration or through those persons of confidence employed by him, who had relations with the Academy of Science- Euler's workplace- as equally for Maupertuis, d'Alembert, d'Argens, de Catt to only mention a few. There could be no question concerning the editing of material which was saved between Euler and Frederick II without an overview of the entirety.

There are some preliminary introductions which are indispensable. It is passionately entertaining for the historian to place these two strong personalities face to face, one making a mark in the history of sciences and the other in the political arena. These men are fundamentally different one from the other, not only separated by their primary activity but also by their characters. On the one hand a mathematical genius who catapulted his subject very far very quickly. Born in the home of a pastoral preacher and having started his studies in theology, both modest in his exterior appearance and his being. On the other hand, the shining example of a king garlanded by military conquests, who enjoyed nothing better than spirited and dashing conversations. Without a doubt, two of the most opposed characters that it was possible to know.

We know how Frederick II passed judgment onto Euler, by a letter that was written to his brother Wilhelm August on October 31, 1746 "I already explained to you that your conversation with Mr. Euler would not be edifying.[...] Amongst the people who know, there are exceptional number-crunchers, commentators, translators, compilators, each having a role to play in the Republic of Science, who are everything except smart. They are employed similarly as Doric columns in architecture. They belong to the under-structure, they support the entire structure, unlike the Corinthian columns which are merely ornaments." And again, on July 6, 1737, Frederick offered Voltaire a maliciously ascerbic saying; that "the king needed to maintain an Academy of Sciences as a country squire needed a pack of dogs". The need for foreign representation and conscious of its importance balanced the scales in Euler's favor in Frederick's soul.

Euler as we know felt honored by Frederick II's invitation in 1740 as well as the fact that it extricated him from a difficult situation in Petersburg. During his entire stay in Berlin, Euler remained very close to the St. Petersburg Academy, which is confirmed by his regular correspondence and his scientific collaboration with this institution. He always accomplished his undertakings even after he left for Berlin with the title of foreign member and the St. Petersburg Academy provided him with an annual stipend.

In Berlin, he was committed to his task and to the service of the king in the establishment of the academy where with his dominating presence he was able to dispense his scientific knowledge to answer important technical questions. His loyalty was particularly manifest in the 1750's. However, after the Seven Years' War in 1763, when Frederick wished to conduct the business of the academy himself in the spirit of a "French academy" , Euler's devotion came to an end. It was then that he did everything to leave Berlin as quickly as possible.

In reality, if Euler could have resisted all of the king's attempts to bring to fruition the radical tendencies of the Enlightenment at the Academy in 1748 while Maupertuis, with the inclusion of La Mettrie, a French encyclopedist, it was no longer possible in 1763 as d'Alembert became one of the king's counsellors. In a general way there was a diametrical positioning of these two men due to a profound difference in doctrine. In opposition to his father who was spiritual, religious and pious, Frederick II had come under the influence of liberal thinkers in his early years; Euler ironically designated them as "miserable men". In 1763 Euler became an active member and a leader of the Consistory of Berlin's Reformed Church.

Euler critically opposed even moderate proponents of the Enlightenment like Leibnitz and Christian Wolff they represented by their philosophical conceptions, a determinism and optimism too contradictory with the traditional doctrines of free will and original sin. For Euler, they were concepts, which lead to atheism if one denied the action of the spirit on the soul. On this last point Euler thought it possible to voice a protest as a physics professor, when we read the nineteenth, "Letter to a German
Princess". However, Frederick II who was pleased to be called the " Philosopher of Sans-Souci" went even further than Leibnitz and Wolff, claiming a god entirely different from Euler's.

One can easily understand that based on these differences, not to mention the diversity of comportment, tastes, etc., the two men did not find common ground. No real intellectual, evenhuman contact, was possible between them. Their correspondence reflects this clearly. However, Euler's will to contribute to the scientific and economic well being of Prussia, manifested itself as an area of fertile growth.

1.
Frederick's campaign to bring Euler to Berlin;
Euler's genesis in the Prussian capital.


Having recently come to power, Frederick II thought
of rededicating the Academy of Sciences. In the June 27, 1740 letter he exposed Voltaire to his plans on this subject. At the time he considered a shared presidency with Christian Wolff and P.L.M. de Maupertuis. He indicated in the same letter the names of Algarotti, s'Gravesande, Vaucanson and ending the list, Euler. Christian Wolff rejected the idea of going to Berlin based on the fact that with Maupertuis there would be little to administrate. As Praeceptor Germaniae, he preferred to teach as a professor more than to serve as an ornament to the throne and raise " cadets". He explained how he felt to Reinbeck on his arrival in Halle on December 10, 1740.

Frederick II spent considerable effort to acquire Euler. He speaks of a deposition that was written in the king's a journal with the day to day deployment of the situation and his own efforts to follow through on the king's call to Berlin. It took all of Euler's tenacity to succeed in receiving a sabbatical from the St. Petersburg Academy. That was done by overcoming Schumacher's opposition, the very powerful head of the academic chancellery of Petersburg. The historian who recognizes Schumacher's influence and his methods can understand what is written between the lines in the simple acts of the days' proceedings. Without the help of the exceedingly forceful Prussian envoy, A. von Mardefeld, Euler would have had great difficulty in gaining Berlin. However, behind the envoy there was Frederick II, whose very circumspect orders reined in any solitary action on the part of the envoy. Nothing is more revealing of Frederick's thought than the importance that he attached to having Euler at the Academy of Sciences in Berlin. We can understand why Euler found it propitious to bring his daily journal to the king's attention. The fortuitous outcome of the situation demanded exceedingly protracted and patient steps on the part of one and the other.

Meanwhile, Frederick II had arrived in Silesia and was conducting a very committed armed battle against the Austrians. It was at Reichenbach's camp that Frederick welcomed Euler in Berlin on July 25, 1741. But Euler wanted above all to receive his appointment and at this point Jariges interceded with the king. To make some money Euler gave mathematics lessons at the home of the Duke of Wurtemburg with Frederick's blessing from his camp at Zynam on March 1, 1742.

War time is a difficult time. Euler landed between Scylla and Charybdis. He had left Petersburg principally due to the political instability and he arrived in a Prussia plunged by its king into trying belligerent times. Also, it is not before September 6, 1742 when during a mathematics class that Euler is hailed by these words, "How society in general and the present members particularly, are pleased to welcome and recognize Messrs Euler and Lieberkuhn as members of the mathematics department. We promise on their behalf to offer counsel, assistance and friendship for the honor and betterment of society, which is noted by the assurance that there is work of the most valued nature to be done." One can see the seriousness with which Euler envisioned his task as he writes to Jariges, the permanent secretary of the academy from 1733-1748 on September 7, 1742. In this text, Euler provides detailed instructions on the way in which, "to come to the aid of astronomy which has fallen into such disuse." At the meeting of September 6, 1742, the issue surrounded the 7th volume of the Miscellanea Berolinensia, to which Euler himself contributed five papers and made the printing of the edition possible. That was the final breath for the old Academy.

However, the beginning of the new one had to wait. The first Silesian war having ended, the second appeared on the horizon. Euler's increasing impatience shows itself in his letters of January 19, 1743 and again on October 19, 1743.

On August 1, 1743, under the direction of the king's favorite, Fieldmarshal, Count Samuel de Schmettau, a literary society was started at which Euler provided numerous scientific reports. He seized upon any occasion to display a dignified topic under the guise of a Academy. However, that was not the purpose of the literary society and Euler did not want to exhaust his efforts on behalf of his Swiss compatriots, Hedlinger for example. Teaching mathematics to the princes did not satisfy him, however, he found the time to tell the king with evident satisfaction of his success in Magnetics, the work which he wished to send for the 1744 Paris Academy prize.

Despite Euler's zealous collaboration, the Literary Society did not constitute as its name implies the birth of a new Academy of Sciences. While discussing his activity in a letter to Goldbach on July 4, 1744, he explained, "leaving no doubt of the self-imposed restrictions, and for these reasons, I avoided pure speculation and mathematical calculations, for the better part I discussed Physics."

At the end of 1743, he joyfully accepted the king's decree through the intermediary of minister Otto von Viereck to re-transform the Literary Society. This plan which until now was unknown, is of fundamental importance in understanding the edification and development of the future Berlin Academy. One is astonished by the brevity and the simplicity of the plan elaborated by Euler. This plan represents the organization of Science to an exceptionally high degree. The goals of an academy of science, had as its vocation the necessity to produce the best, and that must be attained by a simple but efficient process.

Among the sixteen propositions announced by Euler, fourteen are dedicated to this process. They illustrate the way in which science must be encouraged in the most productive way by the Academy. Recourse to the members of honor, "these distinguished gentlemen", should encourage this interest, but everything should be done to avoid the Academy becoming a place of institutionalized honor and ceremony. " The most important point rests in the designation of the ordinary members of each category." Euler says in the twelfth proposition that the significance of the Academy will depend uniquely on the scientific value of each ordinary member, who must be selected with the greatest circumspection.

Euler equally deals with the financial assistance of the Academy in the eleventh proposition. This corresponds precisely with his practical sense of bringing a special focus to the development of the economic base which he considers to be a necessary condition to pay for research. One can still read in the last recommendation, where he considers the financing of scientific works. The overall picture is a real plan for an organization which today, still merits our attention.

The statutes of the new Academy of Sciences established by the king on January 24, 1744 on the occasion of his birthday do not distance themselves from Euler's project except on one essential point. Euler foresaw a class of Medicine, classified into the Natural Sciences, and Physics which does not appear, due to its fundamental nature because it belongs classified in the Philosophy category. His confrontation with Wolff's metaphysics was applied on this basis which was not satisfied in the 1744 statutes and would only come about with a ruling in 1746: the amendment of president Maupertuis would allow him to exercise considerable influence in the philosophical direction of the academy until 1763.

In 1744, after the royal ratification of the statutes, accepted at the first meeting of the new Academy took place at the Berlin Palace on January 23. The progress of scientific life took place only very slowly, due to the fact that Mars pushed all aside again in 1744-1745 with the second Silesian War. The immense zeal that Euler manifested for science reveals itself in a remark during the academic session of January 29, 1744 concerning a new observatory for the Academy. However, the king was less interested in the sciences than in a good treatise on artillery and that is why Euler writes to him at the end of 1744 concerning the work of Benjamin Robins, New principles of gunnery, which he translated into German and published with his own important commentaries in 1745 with the title Neue Grundsaetze der Artillerie.

2.
The reconstruction of the Academy by Euler
under Frederick's aegis

It is only after the second Silesian War at the end of 1745, that Frederick II could begin thinking of the Academy's organization. On February 1, 1746, having been designated as president and presented as such, Euler immediately began to teach the mathematics class. The ideal situation that Euler had determined - to contribute an essential part of the realization of an academy - began to be realized albeit still incompletely. The intellectual compatibility between Maupertuis and Euler was excellent , they had both been students of Jean I Bernoulli in Basel. In general, their scientific and philosophical thinking went hand in hand.

To appreciate Euler's insightful ideas coupled with Maupertuis' assistance, it is sufficient to see the Academic Regulations promulgated by the king on May 10, 1746, which defines the categories. Physics must be categorized into the experimental philosophy or speculative philosophy dependent on whether it is conceived of as either practical or theoretical. In any way it belonged to philosophy. Euler's ideas triumphed on the occasion of the question posed by the Academy in 1747 for the 1748 prize, concerning the Leibnitz/Wolffian monadic theory. With Euler's recommendation, the prize was attributed to the lawyer Justi of Sangerhausen, who was opposed in his speech to Leibnitz and Wolff controversy, albeit in a different fashion.

While Maupertuis represented the academy to the outside world, it was certainly Euler who set the tone. The former had all the king's confidence despite the royal misanthropy and defiance. The academy was Euler's principal place of activity, but plays only an insignificant role in the correspondence with Frederick II during this peaceful decade of reconstruction. However, protected by Maupertuis, Euler obtained in his own right the king's confidence who willingly allowed for his counsel in which his expertise is found in many areas of his correspondence.

Euler knew how to garnish royal favor on his behalf when he asked to have his nephews inducted into the Prussian army. Later there were technical difficulties that the Prussian administration could not resolve and Frederick II submitted these to Euler. Thus the king asked Euler on April 30, 1749 for the solution to the navigation problems on the Finow canal which joins the Oder and the Havel rivers. After a detailed visit which was conducted by lieutenant-colonel von Balby of the Army Corps of Engineers and Baumann the Potsdamer aristocrat, Euler communicated the results on May 14, 1749. In the report, the results are primarily focused on the regulation of the pressure in the numerous locks. As it consists of a report formulated as a communal effort and Euler the sole author, it is designated as 15a. The Finow canal was particularly important to Frederick II. Thanks to him a river system traversed Prussia's interior and by connecting Magdeburg to Stettin created this city as the only maritime port of Prussia besides Hamburg.

Shortly thereafter, on September 15, 1749, Frederick II submitted a project to Euler of an Italian lottery and his advice was forthcoming on September 17, 1749. On September 27 1749, the king thanked Euler for his calculations and wished for an expert opinion for a machine destined for Sans-Souci. It appears on the report from Euler to Frederick II of October 17, 1749, that it was in regards to water pumps operated by windmills. Euler racked himself for the calculations and arrive at the most efficient performance for such pumps. He arrived at his answers after initial difficulties. The calculations proved correct, for which Frederick II thanked him on October 21, 1749.
Within the same time frame and thought process, Euler wrote " Demonstration for a horse-powered water machine which can raise 36 tons of water in 12 seconds to a height of 5 feet". Letters 17, 19 and 19a constitute interesting contributions to the history of science and its technology, with relations between science and technology that are still valuable today. Probability calculations have practical applications in its capabilities relative to a lottery, and mechanics is placed in relation to the movement of fluids. Euler always saw science as a productive force and the crossover between theory and application was always done in a sure and definite way. It is in this same vein that he always worked towards organizing and administrating the academy.

Euler was well-known for the numerous and often noteworthy interventions on behalf of bright candidates due for consideration even outside of any positions relevant to the scientific field. As was in the case of J.M. Van Loen. He was issued from a respectable Dutch family and was a parent of Euler's wife. After a few itinerant years, he established himself in Frankfurt-am-Main where he married Goethe's eventual great-aunt. In 1746 Frederick II offered him the presidency of the Consistory of the Reformed Church of Berlin. He declined the offer and addressed himself to Euler whom he asked for his help to intervene with the king in an attempt to get another position. Euler requested without success, at least that is what we are able to glean from a letter from the king. What transpires is that Van Loen obtains the position of President of the Prussian government of Lingen and Tecklemburg counties. He hesitates and implores Euler's help to supplicate the king. Euler felt responsible for having brought Van Loen to Prussia. This case is characteristic of the tenacity with which Euler stood up and fought for his friends.

Euler attempted to win the king's good graces with the execution of a medallion created by his compatriot Hedlinger. He recognized Frederick's ambition and his love of the arts. Euler even went further in his attempts of captatio benevolentiae as we can note by a package of fruits sent to the king from the garden at Ma, which Euler had acquired at Schoneberg near Berlin. The king appreciated the attention of the fruit basket as was showed by the note of thanks of May 26, 1753. A little while after, the king promised to assume his nephew Vermuelen's side in an inheritance dispute.

Concerning the personnel resources of the Academy, Frederick addressed himself directly to Euler. Such that on July 19, 1753 the king requested confidential knowledge of what Euler thought of J.H. Pott's request to have a certain Kurella as his collaborator with the title of second professor of chemistry. The king provided Euler with the necessary arrangement to examine the situation and to bring about a loyal supporter. This report was never found and was probably of a negative vein, as the king's letter to Euler of July 23, 1753 indicates. Pott wanted to have a family member by the name of Kurella, a disciple who according to Euler was visibly unqualified. The overwhelming confidence of the king allowed Euler to have a copy of the refusal.

In view of his relationship with Frederick II, there is nothing surprising that Euler was able to obtain a rare dispensation from military lodging and maintenance. On August 15, 1753, Frederick wanted a report from Euler on the nomination of a second professor of anatomy to the Academy, this report being favorable, the king confirmed the nomination on August 18. After the nomination of the second anatomy professor, W.C. Brogger, another followed concerning botany. There also Euler's recommendation was adopted by the king.

Euler hastened to provide for the nomination for the second professor of chemistry and suggested K.Ph. Brandes, after having eliminated Kurella which Pott wished for. The proposal written by Euler is missing, but Brandes' nomination to the rank of chemistry professor was accomplished by Frederick II on October 23, 1753. However Pott a member of the Academy since 1722 made great objection to having Brandes by his side. Euler had to accomplish this project by finalizing the fine print by the end of 1753. However, Brandes realizing that there would be nothing but endless complication with Pott, accepted an invitation to Marburg; an invitation that Euler already made mention of in his letter. Euler's manifest tenacity is still apparent in this case. Soon after Brandes' departure, he had him elected as a foreign member in 1755 and in 1760 on Potts' retirement, Brandes was recalled to Berlin with the title of ordinary member.

It is on April 14, 1754 that Christian Wolff, Euler's ideological foe, died in Halle. Euler must have considered it to be a supreme philosophical triumph that he was allowed to designate Wolff's successor at the University of Halle. In effect, Euler received his mission paper from the king on August 8, 1754. He fully wished to enjoy his triumph in proposing Wolff's most exacting adversary, J.A. Segner of Gottingen. However, he had the foresight to make preliminary contact with Daniel Bernoulli and asked him for a power of attorney. He knew very well that Daniel Bernoulli who was elected as a foreign member in June 1746, would not wish to leave Basel where he had become the head of the Mathematics department.

The fact that Bernoulli rejected the position was communicated to the king on September 8, 1754 which left the avenue open for Segner's invitation. In this same letter, Euler presents him as the very summit of academic achievement, however difficult to recruit. Euler was well-versed in his king's thirst for glory, but also his greed. He knew that he had to obtain the best possible conditions to successfully complete Segner's transfer to Halle. The after-the-fact letters reveal all this. In the November 4, 1754 letter, the king reveals his satisfaction for Segner's appointment, even though he complains of how deeply he must enter into the state's coffers. The story of Segner's recruitment is a great masterpiece of psychological maneuverings; but it is also a pointed fact which concerns Euler because wolffianism, so despised by him, appeared to be all but out of fashion in Prussia, at least that is what he was lead to believe for the moment.

In effect it was necessary to fund equipment that was needed for the chairs of Mathematics and Physics in Halle and the negotiations stumbled on until the beginning of March 1755. Interesting deliberations for the history of science because they offer detailed insights on the instruments necessary to the chairs. However, it is only with Frederick II's March 6 1755 letter to Euler that the Segner appointment is effectively resolved, in such a way that Segner was able to begin his classes for the 1775 summer semester.

With Segner's appointment, victorious piety descended heavy-handed from Halle to Salle onto that " dangerous liberal thinker" Wolff. A first effort had already been attempted by Joachim Lange. He, father of Johann Joachim Lange who rooted himself to Wolff and abetted Wolff's estrangement from Halle, with the intentions of providing a clear path for his son to the Mathematics and Physics chair. Wolff's successor was not the insignificant J.J. Lange, but the vigorous Segner who allowed wolffianism to be battled with greater advantage on the science front instead of the pious philosophical front.

Euler's recommendations concerning the distribution of mathematics classes between Lange and Segner received the king's approval on November 23, 1754. The transmission of the royal orders to the two professors made by Euler is missing, but Segner's and Lange's acceptances have been preserved. But this did not only affect wolffianism which was suspected of atheism; Segner had placed into doubt the mathematical and scientific foundation of wolffianism. This controversy was extremely important for the future of German thought, and Euler contributed with his efforts directed to Frederick in favor of Segner.

During the same period, Euler was solicited either directly or indirectly by the king for expert opinions. On November 6, 1754 by orders of Frederick II's cabinet established on October 29, 1754, Euler furnished a report on the establishment of a construction plan for mills originated by the architect Bluchten. It was an unfavorable report indicating that the proposed invention was not in accordance to the principles of mechanics. On May 23, 1755 the king addressed a private order to Euler requesting how to evaluate and improve the salt content "in my salt ponds at Schoenbeck". Euler conducted the report, as it appears as a response on May 25, 1755, unfortunately, the report itself has not been preserved. The king thanked Euler for his calculations in his May 27, 1755 letter.

However, in his letters there is also question of the nomination of A. von Haller to the position of curator at the University of Halle. The Swiss Haller , well-known for his position establishing the Academy and the University, was an excellent naturalist and doctor of medicine as well as an former student of de Boerhaave. For this reason he was in contact with all of the scientists in Europe interested in medicine and the natural sciences. de Boerhaave's scope of influence reached far and wide; he was represented in Petersburg by L. Blumentrost, in Vienna by the Dutchman Van Swieten and in Paris by the Portuguese Sanches. All three had been students of de Boerhaave. Since September 4, 1759, Haller was a foreign member of the Berlin Academy. To install him as an ordinary member would be a significant coup for Prussia. Euler knew the king's mind, Frederick acquiesced on his recommendation immediately.

Taken from a letter to J.G. Sulzer dated April 25, 1755, Haller expressed his desire to work for Frederick. He especially relished the thought of obtaining the position of curator for the Academy, along with the condition that funding was available. He indicated that he had already received an invitation from the king to come to Berlin in 1749. An invitation without follow-up because Maupertuis feared that Haller's glory might be eclipsed by the presence of a truly famous genius. On May 27, 1755, Euler wrote again to Haller in Bern and presented him with the offer to come to Halle to fill the position of chancellor of the university, which he wrote to the king on May 28. He mentioned a salary of 2000 R. Thalers. It was necessary to do something so that " the University of Halle could assume the advantage over all the others of Germany" ; Euler stroked this hope with Segner, but not necessarily with Haller. He was not so smitten with Haller to end up in Halle at any price. However, he wanted to show the dedication of his efforts in impressing the king.

The latter was interested to know what Haller's conditions were. However, in the meantime, Euler had provoked the king into indecision concerning Haller. Frederick ended up by thinking, as he wrote to Euler on June 9, 1755, in a letter that has not been preserved, that Haller only wished to get out of the Hanoverian government some supplementary benefits to the University of Gottingen, and had not seriously considered going to Halle. Euler reinforced Frederick's defiance in regards to Haller, which comes out clearly in his July 7 letter to the king to which he adds Haller's letter. Due to the interest that Haller's letters to Euler add to the history of science, detailed extracts are compiled with the footnotes of Euler's letters to the king.

On August 13 1755 Haller bears his expectations. They exceed the 2000 R. Thalers that Euler had originally presumed. Besides, Haller did not wish to sign on for 10 years. Euler informs the king in his letter of August 28 1755 and the king returns the acknowledgement on the 30th. He finds that the 3000 R. Thaler and the ancillary benefits "excessive", and allows Euler to organize the remaining negotiations. We are aware of Haller's response of October 28, 1755 to Euler's letter of September 2, 1755. He tells of 2400 R.Thalers and places a great emphasis on his desire for leisure and freedom.

On December 27, 1755 Haller told Euler that he had communicated his final refusal to come to Prussia directly to the king . He wished to spend the rest of his life in Bern, his country and he preferred "liberty, life's little pleasures and health" to the sparkle of a scientific organization and the indifferent salary. Even though Pfaff filled the University curator's position in Gottingen, Euler was able to prove his zeal by doing everything possible for the honor of Prussia and the king. Soon after the king received the title of foreign member of the Paris Academy. It was an important distinction, because there were only ten positions of this category. The king received this news with great joy. Frederick's relations with Euler had attained their apogee. The years 1746-1756 were Euler's Golden Age.

3.
Euler and Frederick II during the Seven Years' War

In August 1756 the Seven Years' War broke out. Soon Frederick found himself facing the largest military alliance imaginable on the European continent. Those of the three great powers; Russia, Austria and France. Interesting fact: Euler a pensive and advised individual, had thrust himself to points of enthusiasm for the Prussian king who was armed against a world of enemies. As such he employed himself even to translate letters from the Russian officers that they we able to intercept. 1758 was a banner year for such activities. With a certain degree of discretion and prudence, Euler tried to hide his love for Russia, even into October 1756 he organized the election of professor F.U. Apinus of Rostock to the rank of ordinary member at the St. Petersburg Academy as a physician. He left for Russia while the war was in full swing and no less delivered his inaugural speech at the Russian academy on May 23 1757.

Maupertuis presided over the Berlin Academy for the last time on June 3, 1756; his illness caused him to leave and never to return. Euler remained in Berlin enjoying a certain peacefulness despite the comings and goings. For all intents and purposes he was the acting President during Maupertuis' absence and replaced him after his death in Basel in 1759. Maupertuis' nerves had become very fragile and his state could not support the royal decisions of back and forth and back and forth. Euler wrote to him on February 17, 1759 to beat back his depression,

"That God protects our King ! That Frederick lives, reigns and triumphs, this is our wish along with M. Formey."

Euler took such opportunistic steps that he even offered his son Karl to the Prussian war machine. As he expected, the king saw this as a act of patriotism and sincerely and profusely thanked him for, "his show of loyalty and his his attachment to his homeland." On September 14, 1759 Euler sent Frederick II a pair of note-glasses as well as a telescope on behalf of the now defunct President of the Academy. In his letter of September 14, 1759 which accompanied the optical instruments, Euler informed the king of his own fruitful activities regarding the perfecting of the instruments. He concluded the letters with the hope that his son Karl will show himself worthy of the honor that the king has bestowed on him by inducting him into the Prussian army. In his September 15, 1759 response, Frederick encourages Euler to continue his improvements to the telescopes. But he has little time to discuss the matter: the war is thoroughly absorbing.

The war was expensive and the heavy losses and numerous reversals became very clear in Euler's eyes, at least after 1760. In comparison, Russia's grandeur is much clearer. Berlin's occupation by the Russian troops in the fall of 1760 brings him closer to Russia and the material losses which he sustained are in large part indemnified. His relation with Russia , which had never been completely interrupted were rapidly re-established. One can see this by the growth of the correspondence that Euler exchanges with G.F. Muller in Petersburg. Of the two letters written during the period 1758-1759, one passes to seven in 1760, to eight in 1761 and eleven in 1762 and thirteen in 1763.

At the same time, as soon as the war is over it is clear that Euler attempts to attract Frederick's attention by all possible means. On behalf of the Directory of the Academy, Euler as a representative was preoccupied in June and July 1763 by finding a solution satisfying the demands of science as well as the refunding the finances which were ruined by the war so as to place the botanical gardens of the Academy back in shape. He also counseled the king on his request of August 17, 1763 concerning a lottery which were to refund the depleted revenues. On this occasion the king displayed his recognition. To better merit this recognition, Euler brought up to Frederick II the project established by a Coulais named Denffer concerning the manufacturing of porcelain. This project which is dated from August 14, 1763. The king thanked him for is assiduity on August 30. If Euler hoped for this royal approbation, it was because he desired to finally achieve supremacy at the Academy which he had been directing since 1746, due to his influence on Maupertuis.


4.
Uneasy departure for Euler from Berlin

As for Frederick II, he did not even consider placing Euler at the head of the Academy. With the war over, the king became even more avid for glory, increasingly stingy and much more suspicious. These excesses of character prohibited him from granting Euler any real confidence. For him, Euler would certainly remain a great scientist, a "geometer" who would be able to research all the knowledge to the fullest of their applications, but he did not cut a handsome figure. Frederick II could not entertain a "spiritual" conversation with this " limited cyclops", which was a requisite condition for a man to become the president of the Academy. It is with this in mind that Frederick II, thought more of placing d'Alembert in the position who he thought of when Maupertuis first became seriously ill.

To this one must add the fact that Euler became the declared supporter of David Kohler the responsible party of the Academy's finances, the probity of which Frederick II had doubts back to 1746. This sort of support did not please the king. After the war, the State coffers were empty, the country's resources at a low ebb and the king tried everything to fill them. He took a great interest in looking in to the sale of calendars which he had awarded as a privilege to the Academy. Based on this did the State's cashier Kohler find occasion to fill his pockets? Kohler, under the presumption of a wise decision and facing a monetary devaluation, and following the example of his king, removed the good coinage from the academic accounts and replaced it with paper money which lost two-thirds of its value in the following years. The king's defiance became evident in 1763 and his discontent with Euler grew. Euler's philosophical adversaries at the Academy like J. G. Sulzer, heated the irons by offering anonymous warnings to the king and by that brought about Euler's own discontent. Certainly, in 1746, Euler made himself very useful to the king by and through reports on the telemetry of Ximenes and of Brander. In the propositions of the Directory of the Academy addresses to the king - those of December 22 1763 that Euler wrote himself and those of July 5, 1764 which he conceived - are relevant answers to the questions concerning the finances and salaries of the Academy. It is important to take note of the fact that in the king's decision, the importance is precisely to the Mathematics class which Euler managed since 1744. In effect of the two members proposed for that class and received the only pensions awarded of 400 R.Thl. one of them was Jean Albert, Euler's eldest son.

However, now we can see how the relationship between the two men chilled by the sudden refusal of the king to grant a marriage to Euler's future in-law, Cornette van Dehlen, on December 3, 1763. However, Euler withheld his decision to leave until Frederick II addressed the letter of June 16, 1765, in which the king's suspicions concerning Kohler's financial administration which until now had been placed under Euler's direction became suspect. A commission of five members, of which Euler was certainly a member, was created to oversee the financial administration of the Academy. Euler received this as an act of defiance. It was particularly difficult for Euler to sit on the same commission with his fellow Swiss and wolffian adversary Sulzer, whose cautious and punctilious nature was directed at Kohler.
It was a defining moment when Euler lost the direction of the Academy. Frederick II who had invited d'Alembert to take the reins of the presidency of the Academy had refused but were not handed to Euler even based on the recommendations of d'Alembert. The king took hold of the institution himself with d'Alembert as his counsel. The organization of the king's finance commission brought Euler and Kohler's collaboration to an end. Now nothing retained Euler in Berlin.

Frederick II, however, would not let Euler leave Berlin. His departure would have been a grievous blow to Prussian prestige with the loss of a scientific and technical advisor of the first order. On April 15, 1766, the Prussian Directory General thanked Euler for his report of the national Clevis lottery, and expressed its hopes to "to keep you for a long time to come." However, Euler's helvetic tenacity came through again and at his fourth request, he was able to obtain a leave from Frederick II without any thanks on May 2, 1766 and leave for Russia. Frederick's final request to withhold his departure became a moot point.

On October 1, 1763, Euler had written to his old friend Goldbach in Petersburg, " The fact that the idea of transforming this Academy into a French Academy still exists. As much as I am upset at the prospect of leaving, I still must prepare myself for this eventuality." One can understand Euler's hesitation, but also one clearly hears the knell, because what Euler implied was that "a French Academy" meant an institution where there was no decisive influences. In effect among the seven ordinary members named by the king in 1764-1766 to the Berlin Academy there were seven Frenchmen and two Swiss, and of the five foreign members named concurrently they were all French, and notably "hard heads" like Helvetius for whom Euler had considerable disdain. The leibnitzian-wolffian following which had been temporarily displaced, became an issue once again. In the summer of 1766, immediately following Euler's departure, the question proposed for the 1768 Academy prize was a Leibnitz Eulogy. Euler's philosophical defeat at the Berlin Academy had been consummated.


5.
Euler & Frederick II: The remaking of a relationship

The two men separated angry, however Catherine II of Russia an unexpected mutual benefactor brought about a reconciliation. Frederick II had been determined to obtain the Empress' favor. He could not forget the embarassment of the defeat at Zorndorf that the Russians had inflicted on him during the Seven Years' War. As of September 10, 1766, he had nominated Catherine II as a foreign member of the Berlin Academy, after she had declined the offer to become an honorary member. From 1763 onwards, Catherine II applied herself to having Euler return to Russia, without souring or interrupting the relations between the Berlin and Petersburg Academies. Euler was the bridge between both institutions.

It is not surprising to note all of Euler's contributions to the "Memories" of Berlin from 1766. On October 14, 1768, Euler addressed the Academy in Berlin as "Your illustrious Body" and rendered an account of the works accomplished and proposed a tighter collaboration between the two academies. As Frederick II was the real president of the Academy, the letter was indirectly addressed to the king of Prussia.

At the beginning of 1776, Euler renewed his ties directly with the king. Prior to this the king had distanced himself from a philosophical point of view from the current of radical enlightenment thinking; a current arriving from France. It became apparent to the king that enlightened absolutism was a contradiction in terms. He held fast to the absolutism which was threatened by the disaffection of the current enlightenment.

This change of position in relation to the enlightenment brought Euler spiritually closer to the king. It was Catherine II's wish to nominate Frederick II as a member of honor to the St. Petersburg Academy which provided an occasion for Euler to address the king directly. Euler profited from the moment by furnishing the king with some calculations that had been published in the Berlin newspapers at the beginning of 1776. According to Euler's work on probabilities there was a possibility that the calculations could bring about the failure of a company, which interesting in itself, Euler warned the king of the corrections in a letter dated early April 1776. He had already been focused on the question and had presented the Academy of St. Petersburg with the necessary calculation for the establishment of a security fund for widows on April 14, 1769. He thanked Euler for the detail of his work on April 16, 1776, and persuaded that the purity of his motives " had made him act". Euler encouraged by this warmth sent a brochure on the subject in September 1776. The king was overwhelmed by the interest Euler placed in " his old compatriots" and manifested his happiness with a letter on September 11, 1776.

Euler having paved the best possible ways for Frederick II to be proposed as a member of honor to the St. Petersburg Academy was elected on January 9, 1777. As the Dean of the Petersburg Academy, it was Euler's charge to write to Frederick II on January 28, 1777 to thank him for having accepted his election to a position which was the first of its kind to be awarded at Petersburg. Euler mentioned in these letters that of the fifty years he had spent as an academician, half of those years were dedicated to the Berlin Academy and he concluded with the graceful closing that " our entire corps is penetrated by the most profound veneration for His majesty's most sacred person."

When his turn came, in a letter dated February 1, 1777 Frederick II also proved as courteous by congratulating St. Petersburg for having a dean such as Euler. Not omitting, but insisting on the tight bonds between Prussia and Russia at the heart of European power, he concluded with an eulogy on the St. Petersburg Academy having achieved, he said, "with the guidance and direction of the Empress, a shining and perfection that few academies can claim." Thus he encouraged Euler to be its leader.

Thus the bonds were renewed, which brought together one and the other of these two men so different and despite all of the opposing forces that separated them.

Eduard Winter

Translated from the French
by J.S.D.Glaus


Euler to Teplov

Berlin, 18/29 October 1746

Synopsis: Euler's disapproval of some St. Petersburger academicians. His short list of candidates to fill positions. Lends help to those who are on staff and dismisses the hoity toity. Whisperings of a university and the gossip of the day.


Euler to Razumovsky

Berlin, 7/18 November 1747

Synopsis: Administrative chores of appointing and re-appointing, interviewing and strong-arming. Mention of Euler's "Navigation and Construction of Ships." Italian medical experiments applying to electricity. Euler as the business broker in porcelain manufacturing.


Euler to Razumovsky

Berlin, November 10/21 1747


Euler to Teplov

Berlin, January 9/20 1748

Synopsis: Fire at the Imperial Academy and the loss of the Observatory. Euler stands firm against D. Bernoulli's detractors.


Euler to Razumovsky

Berlin, August 13/24 1748

Synopsis: Euler's eclipse predictions overshadow the French astronomers. Mention of Euler's astronomical tables.


Euler to Razumovsky

Berlin, October 15/26 1748

Synopsis: Euler's congratulations to Razumovsky on his installation to the Ismailovsy Regiment and the birth of a new son.


Euler to Teplov

Berlin, October 15/26 1748

Synopsis: Euler's friendship with Teplov. Razumovsky's acceptance of Berlin's honorary diploma. St. Petersburg membership elections protocols. Mr. Gmelin makes a bad impression.

Euler to Teplov

Berlin, December 23,1749 / January 1750

Synopsis: Presentation of papers to the Imperial Academy. Continuation of the Newtonian/Liebnitzian rift in European scientific circles on the subject of moon apogee calculations.


Euler to Teplov

Berlin, April 7/18 1750

Synopsis: M. Gmelin continues to disturb the peace of the Academy


Euler to Teplov

Berlin, April 14/25 1750

Synopsis: Euler reviews two papers , one on chronometers and the other concerning oars. Euler forces Gmelin's position. Euler/ Schumacher rift


Euler to Teplov

Berlin, April 28/ May 9 1750

Synopsis: Resolution of the Gmelin issue. Euler's ability to negotiate third party causes.


Euler to Razumovsky

Berlin, May 26 / June 6 1750

Synopsis: Goodwill letter congratulating Razumovsky to the title of Hetman.


Euler to Teplov

Berlin, 17/28 July 1750

Synopsis: Euler negotiates Gmelin out of a thorny issue and into a suitable contract


Euler to Razumovsky

Berlin, 11/22 August 1750

Synopsis: Euler receives 50 copies of his Treatise on Navigation. The Gmelin affaire comes to a conclusion. Euler recommends himself to be appointed as the Academy prize examiner


Euler to Razumovsky

Berlin, 14/25 November 1750

Synopsis: Euler diplomatically declines Razumovsky's offer to return to St. Petersburg.


Euler to Razumovsky

Berlin, January 15/26 1751

Synopsis: Euler establishes the ground rules for the St. Petersburg Science Prize. Astronomy is a hot topic.


Euler to Teplov

Berlin, November 11, 1755

Synopsis: Euler's "Differential Calculus" book is printed but is short on funds. Euler fights for funding to pay creditors. Magnetized bars arrive from Basel. Kotelnikoff and Rumoffsky arrive in Berlin for the Master's instruction. Mention of Euler's magic lantern.


Euler to Razumovsky

Berlin, January 27/ February 7 1756

Synopsis: Euler suggests candidates for the chairs of Physics and Chemistry. Reports cards are out on Kotelnikov and Rumoffsky. Euler submits bills for reimbursement.


Euler to Razumovsky

Berlin, July 7/18, 1756

Synopsis: Schumacher pulls the plug on Euler's students, and back to Mother Russia for Kotelinikoff and Rumoffsky. Euler requests reimbursement for his book as well as the magnetic bars.


Euler to Razumovsky

October 7/18 1760

Synopsis: Euler reveals the hardship caused by the Seven Year's war. Requests indemnification from the Academy for the destruction caused by the HIM troops.


Euler to Razumovsky

Berlin, May 17/28, 1763

Synopsis:


Euler to Teplov

Berlin, July 15/26 1763

Synopsis: Euler plots his course for St. Petersburg. Is irked by the thought of the secretary' s position on his return. His daughter's nuptials and his disdain for a university professorship in Holland


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