“I must now explain what I mean by the quantity of action. A certain action is necessary for the carrying of a body from one point to another: this action depends on the velocity which the body has and the space which it describes; but it is neither the velocity nor the space taken separately. The quantity of action varies directly as the velocity and the length of path described; it is proportional to the sum of the spaces, each being multiplied by the velocity with which the body describes it. It is this quantity of action which is here the true expense (dépense) of nature, and which she economizes as much as possible in the motion of light.”

— Pierre Louis Maupertuis

Histoire de l'Academie (1744) p. 423; Les Oeuvres De Mr. De Maupertuis (1752) vol. iv p. 17; as quoted by Philip Edward Bertrand Jourdain, The Principle of Least Action https://books.google.com/books?id=y3UVAQAAIAAJ (1913) p. 5.

Adopted from Wikiquote. Last update June 3, 2021. History

Help us to complete the source, original and additional information

Do you have more details about the quote "I must now explain what I mean by the quantity of action. A certain action is necessary for the carrying of a body from…" by Pierre Louis Maupertuis?

Pierre Louis Maupertuis 24

French mathematician, philosopher and man of letters 1698–1759

Related quotes

“Now I have to define what I mean by "action". When a material body is transported from one point to another, it involves an action that depends on the speed of the body and on the distance it travels. However, the action is neither the speed nor the distance taken separately; rather, it is proportional to the sum of the distances travelled multiplied each by the speed at which they were travelled.”

Pierre Louis Maupertuis (1698–1759) French mathematician, philosopher and man of letters

Accord de différentes loix de la nature qui avoient jusqu’ici paru incompatibles (1744)

“The quantity of action is the product of the mass of the bodies times their speed and the distance they travel. When a body is transported from one place to another, the action is proportional to the mass of the body, to its speed and to the distance over which it is transported.”

Pierre Louis Maupertuis (1698–1759) French mathematician, philosopher and man of letters

Les Loix du Mouvement et du Repos, déduites d'un Principe Métaphysique (1746)

“Momentum may be roughly described as quantity motion. A body moving at a speed of say twenty an hour, has a certain quantity of motion. If the body goes forty miles an hour there is twice as motion; or if twice as much matter goes twenty miles hour, there is also twice as much motion. Momentum is measured by the quantity of matter moving at a rate mass \times velocity.”

William Kingdon Clifford (1845–1879) English mathematician and philosopher

"Energy and Force" (Mar 28, 1873)

“According to the Special Theory of Relativity, the velocity of a moving body is always less than the velocity of light. Since the energy of motion of a body depends on its inertial mass and its velocity, it follows that if the energy of a body is increased indefinitely by the continual application of a force, the inertial mass of the body must be increased too; for, if not, the velocity would ultimately increase indefinitely and exceed the velocity of light. Einstein found that, corresponding to any increase in the energy content of a body, there is an equivalent increase in its inertial mass. Mass and energy thus appeared to be different names for the same thing, the energy associated with a mass M being Mc2, where c is the velocity of light; and the mass M of a body moving with velocity v he found to be given by the following formulaM = \frac {m}{\sqrt{(1 - \frac {v^2}{c^2}}}</center”

Gerald James Whitrow (1912–2000) British mathematician

The Structure of the Universe: An Introduction to Cosmology (1949)

“Now the origin of the universe that you know, as I have described it, was of course a master event. The initial action did not occur in space or time, but formed space and time.”

Jane Roberts (1929–1984) American Writer

Session 919, Page 373
Dreams, Evolution and Value Fulfillment, Volume Two (1986)

“… the principle of the limiting character of the velocity of light. This statement… is not an arbitrary assumption but a physical law based on experience. In making this statement, physics does not commit the fallacy of regarding absence of knowledge as evidence for knowledge to the contrary. It is not absence of knowledge of faster signals, but positive experience which has taught us that the velocity of light cannot be exceeded. For all physical processes the velocity of light has the property of an infinite velocity. In order to accelerate a body to the velocity of light, an infinite amount of energy would be required, and it is therefore physically impossible for any object to obtain this speed. This result was confirmed by measurements performed on electrons. The kinetic energy of a mass point grows more rapidly than the square of its velocity, and would become infinite for the speed of light.”

Hans Reichenbach (1891–1953) American philosopher

The Philosophy of Space and Time (1928, tr. 1957)

“If the expansion of the space of the universe is uniform in all directions, an observer located in anyone of the galaxies will see all other galaxies running away from him at velocities proportional to their distances from the observer.”

George Gamow (1904–1968) Russian-American physicist and science writer

Source: The Creation of the Universe (1952), p. 31

“The essences of the Gods never came into existence (for that which always is never comes into existence; and that exists for ever which possesses primary force and by nature suffers nothing): neither do they consist of bodies; for even in bodies the powers are incorporeal. Neither are they contained by space; for that is a property of bodies. Neither are they separate from the first cause nor from one another, just as thoughts are not separate from mind nor acts of knowledge from the soul.”

Sallustius Roman philosopher and writer

II. That God is unchanging, unbegotten, eternal, incorporeal, and not in space.
Variant translation:
The essences of the gods are neither generated; for eternal natures are without generation; and those beings are eternal who possess a first power, and are naturally void of passivity. Nor are their essences composed from bodies; for even the powers of bodies are incorporeal: nor are they comprehended in place; for this is the property of bodies: nor are they separated from the first cause, or from each other; in the same manner as intellections are not separated from intellect, nor sciences from the soul.
II. That a God is immutable, without Generation, eternal, incorporeal, and has no Subsistence in Place, as translated by Thomas Taylor
On the Gods and the Cosmos

“[ Futurism's].. superficial expression of velocity, the aeroplane, the racing-car and so on, is but a weak expression of the inner velocity of thought compared to which the velocity of radium represents nothing but inertia... The mimetic expression of velocity (whatever its form may be: the aeroplane, the automobile, and so on) is diametrically opposed to the character of painting, the supreme origin of which is to be found in inner life.”

Theo van Doesburg (1883–1931) Dutch architect, painter, draughtsman and writer

Quote from Dutch art-magazine: 'Eenheid' (Dutch, for Unity) no. 127, 9 November 1912; as cited in Theo van Doesburg, Joost Baljeu, Studio Vista, London 1974, p. 16
1912 – 1919

“The quantity of force which can be brought into action in the whole of Nature is unchangeable, and can neither be increased nor diminished.”

Hermann von Helmholtz (1821–1894) physicist and physiologist

Summarizing the Law of Conservation of Force, in "On the Conservation of Force" (1862), p. 280
Popular Lectures on Scientific Subjects (1881)

Help us to complete the source, original and additional information

Pierre Louis Maupertuis 24

Related quotes

Related topics