# How to use *D'alembert* in a sentence

He first visited Paris, where he saw a good deal of

**d'Alembert**, Diderot, Barthelemy, Raynal, Helvetius, Baron d'Holbach and others of that circle, and was often a welcome guest in the saloons of Madame Geoffrin and Madame du Deffand.He made his first appearance in public as the critic of Newton, and the arbiter between

**d'Alembert**and Euler.His treatise was remarkable, not only as offering a satisfactory explanation of the coincidence between the lunar periods of rotation and revolution, but as containing the first employment of his radical formula of mechanics, obtained by combining with the principle of

**d'Alembert**that of virtual velocities.Euler's eulogium was enhanced by his desire to quit Berlin,

**d'Alembert**'s by his dread of a royal command to repair thither; and the result was that an invitation, conveying the wish of the "greatest king in Europe" to have the "greatest mathematician" at his court, was sent to Turin.C. Maclaurin, Legendre and

**d'Alembert**had furnished partial solutions of the problem, confining their 1 Annales de chimie et de physique (1816), torn.AdvertisementFontenelle forms a link between two very widely different periods of French literature, that of Corneille, Racine and Boileau on the one hand, and that of Voltaire,

**D'Alembert**and Diderot on the other.The theory of Daniel Bernoulli was opposed also by Jean le Rond

**d'Alembert**.These equations were found by

**d'Alembert**from two principles - that a rectangular canal, taken in a mass of fluid in equilibrium, is itself in equilibrium, and that a portion of the fluid, in passing from one place to another, preserves the same volume when the fluid is incompressible, or dilates itself according to a given law when the fluid is elastic. His ingenious method, published in 1752, in his Essai sur la resistance des fluides, was brought to perfection in his Opuscules mathematiques, and was adopted by Leonhard Euler.This calculus was first applied to the motion of water by

**d'Alembert**, and enabled both him and Euler to represent the theory of fluids in formulae restricted by no particular hypothesis.As a rule these equations are established immediately by determining the component acceleration of the fluid particle which is passing through (x, y, z) at the instant t of time considered, and saying that the reversed acceleration or kinetic reaction, combined with the impressed force per unit of mass and pressure-gradient, will according to

**d'Alembert**'s principle form a system in equilibrium.AdvertisementReceived at first in the ranks of the philosophes, he soon went over to their opponents, possibly more from contempt than from conviction, the immediate occasion for his change being a quarrel with

**d'Alembert**in 1762.Comte was as inconsolable after Madame de Vaux's death as

**D'Alembert**after the death of Mademoiselle L'Espinasse.The problem of vibrating cords, which had been some time before resolved by Brook Taylor (1685-1731) and

**d'Alembert**, became the subject of a long discussion conducted in a generous spirit between Bernoulli and his friend Euler.He was well acquainted with the works of the mathematicians of his own time, and has been called the "English

**d'Alembert**."His memoir (1775) on the rotatory motion of a body contains (as the author was aware) conclusions at variance with those arrived at by Jean le Rond,

**d'Alembert**and Leonhard Euler in their researches on the same subject.AdvertisementIn 1758 appeared his Lettre a

**d'Alembert**contre les spectacles, written in the winter of the previous year at Montlouis.This was at once an attack on Voltaire, who was giving theatrical representations at Les Delices, on

**D'Alembert**, who had condemned the prejudice against the stage in the Encyclopedic, and on one of the favourite amusements of the society of the day.He also, about this time, wrote his " Recherches sur la figure des planetes," published in the Memoires of the French Academy, of which he was elected a member in succession to le Rond

**d'Alembert**in 1783.During forty years the resources of analysis, even in the hands of

**d'Alembert**, Lagrange and Laplace, had not carried the theory of the attraction of ellipsoids beyond the point which the geometry of Maclaurin had reached.Smith at this time lived in the society of Quesnay, Turgot,

**d'Alembert**, Morellet, Helvetius, Marmontel and the duke de la Rochefoucauld.AdvertisementMassillon enjoyed in the 18th century a reputation equal to that of Bossuet and of Bourdaloue, and has been much praised by Voltaire,

**D'Alembert**and kindred spirits among the Encyclopaedists.To every Salon Houdon was a chief contributor; most of the leading men of the day were his sitters; his busts of

**d'Alembert**, Prince Henry of Prussia, Gerbier, Buffon (for Catharine of Russia) and Mirabeau are remarkable portraits; and in 1778, when the news of Rousseau's death reached him, Houdon started at once for Ermenonville, and there took a cast of the dead man's face, from which he produced the grand and life-like head now in the Louvre.See Diderot's Prospectus (Muvres, iii.) and

**d'Alembert**'s Discours (Ouvres,i.) The scheme should be compared with later attempts of the same nature by Ampere, Cournot, Comte and Herbert Spencer.So the Encyclopedie, besides giving a eulogistic article " Baconisme," speaks of him (in

**d'Alembert**'s preliminary discourse) as " le plus grand, le plus universel, et le plus eloquent des philosophes."His education was directed by

**D'Alembert**.AdvertisementThey were accordingly taken up anew by a band of continental inquirers, primarily by three men of untiring energy and vivid genius, Leonhard Euler, Alexis Clairault, and Jean le Rond

**d'Alembert**.In the judgment of

**D'Alembert**the Cartesan theory was the best that the observations of the age admitted; and " its explanation of gravity was one of the most ingenious hypotheses which philosophy ever imagined."The post of director of the mathematical department of the Berlin Academy (of which he had been a member since 1759) becoming vacant by the removal of Euler to St Petersburg, the latter and

**d'Alembert**united to recommend Lagrange as his successor.He undoubtedly instigated

**D'Alembert**to include a censure of the prohibition in his Encyclopedic article on "Geneva," a proceeding which provoked Rousseau's celebrated Lettre a**D'Alembert**sur les spectacles.Jean le Rond

**d'Alembert**acknowledges with gratitude, that "whatever she knew of mathematics he owed to the works of Jean Bernoulli."The society of Paris was peculiarly ready to receive a great philosopher and historian, especially if he were known to be an avowed antagonist of religion, and Hume made valuable friendships, especially with

**D'Alembert**and Turgot, the latter of whom profited much by Hume's economical essays.