“The theory of waves has been much simplified, and somewhat extended, and their motions have been illustrated by experiments… A similar method of reasoning has been applied to the circulation of the blood, to the propagation of sound, either in fluids or in solids, and to the vibrations of musical chords; the general principle of a velocity, corresponding to half the height of a certain modulus, being shown to be applicable to all these cases: and a connexion has been established between the sound to be obtained from a given solid, and its strength in resisting a flexure of any kind; or, in the case of ice and water, between the sound in a solid and the compressibility in a fluid state. The doctrine of sound and of sounding bodies in general has also received some new illustrations, and the theory of music and of musical intervals has been particularly discussed.”

— Thomas Young (scientist)

Preface
A Course of Lectures on Natural Philosophy and the Mechanical Arts (1807)

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 "The theory of waves has been much simplified, and somewhat extended, and their motions have been illustrated by experim…" by Thomas Young (scientist)?

Thomas Young (scientist) 28

English polymath 1773–1829

Related quotes

“Notwithstanding the eminent difficulties of the mathematical theory of sonorous vibrations, we owe to it such progress as has yet been made in acoustics. The formation of the differential equations proper to the phenomena is, independent of their integration, a very important acquisition, on account of the approximations which mathematical analysis allows between questions, otherwise heterogeneous, which lead to similar equations. This fundamental property, whose value we have so often to recognize, applies remarkably in the present case; and especially since the creation of mathematical thermology, whose principal equations are strongly analogous to those of vibratory motion. This means of investigation is all the more valuable on account of the difficulties in the way of direct inquiry into the phenomena of sound. We may decide the necessity of the atmospheric medium for the transmission of sonorous vibrations; and we may conceive of the possibility of determining by experiment the duration of the propagation, in the air, and then through other media; but the general laws of the vibrations of sonorous bodies escape immediate observation. We should know almost nothing of the whole case if the mathematical theory did not come in to connect the different phenomena of sound, enabling us to substitute for direct observation an equivalent examination of more favorable cases subjected to the same law. For instance, when the analysis of the problem of vibrating chords has shown us that, other things being equal, the number of oscillations is hi inverse proportion to the length of the chord, we see that the most rapid vibrations of a very short chord may be counted, since the law enables us to direct our attention to very slow vibrations. The same substitution is at our command in many cases in which it is less direct.”

Auguste Comte (1798–1857) French philosopher

Bk. 3, chap. 4; as cited in: Moritz (1914, 240)
System of positive polity (1852)

“And it has only been in the last hundred years or so that the ties between musical sound and human movement have been minimized.”

Daniel Levitin (1957) American psychologist

This is Your Brain on Music (2006)
Context: It is only in the last five hundred years that music has become a spectator activity—the thought of a musical concert in which a class of "experts" performed for an appreciative audience was virtually unkown throughout our history as a species. And it has only been in the last hundred years or so that the ties between musical sound and human movement have been minimized.

“But whether the Constitution really be one thing, or another, this much is certain—that it has either authorized such a government as we have had, or has been powerless to prevent it. In either case it is unfit to exist.”

Lysander Spooner book No Treason

Source: No Treason (1867–1870), No. VI: The Constitution of No Authority, p. 63, Appendix, last sentence

“In the department of physical optics, the phenomena of halos and parhelia have been explained, upon principles not entirely new, but long forgotten: the functions of the eye have been minutely examined, and the mode of its accommodation to the perception of objects at different distances ascertained: the various phenomena of coloured light have been copiously described, and accurately represented by coloured plates; and some new cases of the production of colours have been pointed out, and have been referred to the general law of double lights, by which a great variety of the experiments of former opticians have also been explained; and this law has been applied to the establishment of a theory of the nature of light, which satisfactorily removes almost every difficulty that has hitherto attended the subject.”

Thomas Young (scientist) (1773–1829) English polymath

Preface
A Course of Lectures on Natural Philosophy and the Mechanical Arts (1807)

“Humanity cannot progress by importing into theoretical study the processes of blind routine and haphazard experiment by which production has so long been dominated. … The true relation between theory and application only appears when theoretical research has been purged of all empiricism.”

Simone Weil (1909–1943) French philosopher, Christian mystic, and social activist

“The teaching of mathematics,” p. 71-72
On Science, Necessity, and the Love of God (1968)
Context: My purpose here is to denounce an idea which seems to be dangerous and false. … Revolutionary trade unionists and orthodox communists are at one in considering everything that is purely theoretical as bourgeois. … The culture of a socialist society would be a synthesis of theory and practice; but to synthesize is not the same as to confuse together; it is only contraries that can be synthesized. … Marx’s principal glory is to have rescued the study of societies not only from Utopianism but also and at the same time from empiricism. … Humanity cannot progress by importing into theoretical study the processes of blind routine and haphazard experiment by which production has so long been dominated. … The true relation between theory and application only appears when theoretical research has been purged of all empiricism.

“The fundamental doctrines of motion have [herein]… been more immediately referred to axioms simply mathematical than has hitherto been usual; and the application of these doctrines to practical purposes has [herein]… been facilitated.”

Thomas Young (scientist) (1773–1829) English polymath

Preface (March 30, 1807)
A Course of Lectures on Natural Philosophy and the Mechanical Arts (1807)

“It has been said by a certain general, that the first object in the establishment of an army ought to be making provision for the belly, that being the basis and foundation of all operations.”

Frederick II of Prussia (1712–1786) king of Prussia

Military Instructions (1747), Article II: Of the Subsistence of Troops, and of Provisions http://www.sonshi.com/frederickthegreat1-2.html

“At this time it is difficult to put one's finger on any single contribution in the decade 1950 - 1960 which is comparable to those above, and yet progress has probably been even greater. From the point of view of an educator, one cannot overlook the wide distribution which has been given to these ideas. There has been remarkable progress from analysis to synthesis, always a sign of maturity in a field of analytic endeavour. There has been consolidation, for example in the establishment of a more rigorous basis for information theory; there has been unification, for example in the demonstration of the formal similarity between game theory and linear programming; there has been application to mathematically more difficult situations, for example nonlinear servo systems and information channels with memory; there has been implementation, as in commercially available computers which by any reasonable measure are hun- dreds of times more powerful than the primitive devices of 1950; there has been de-limitation of the boundaries of many of these fields.”

Robert E. Machol (1917–1998) American systems engineer

Source: Information and Decision Processes (1960), p. viii

“Blind faith in established experience has been shattered, outmoded regulations have been smashed.”

Ba Jin (1904–2005) Chinese novelist

A Battle For Life (July 1958)
Context: The battle to save life is still going on. Up till now Lao Chiu has already lived for forty-four days. He lives on stubbornly and endures all suffering. Already he has become a banner, a fresh red banner. Many people regard him as a source of encouragement and as a model for them. Many consider him as a personification of the noble qualities of the working class and as a shining example of the great spirit of communism.
This battle to save life will eventually be won. The fact that Lao Chiu has lived until now is already a medical marvel. He has passed through one crisis after another and later he may face still more. But he will certainly live. Blind faith in established experience has been shattered, outmoded regulations have been smashed.

“It has been frequently assumed that V is constant; and this indeed is the cornerstone of the quantity theory of money. But it seems fairly obvious that the velocity of circulation in fact depends on the short-term rate of interest.”

Michał Kalecki (1899–1970) Polish economist

Source: Theory of Economic Dynamics (1965), Chapter 6, The Short Term Rate of Interest, p. 73

Help us to complete the source, original and additional information

Thomas Young (scientist) 28

Related quotes

Related topics