See Fermat's principle on Wiktionary
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"etymology_text": "First proposed by French mathematician Pierre de Fermat in 1662.",
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"ref": "1960, John Clarke Slater, Quantum Theory of Atomic Structure, McGraw-Hill, page 39:",
"text": "But we now see that, if we use Fermat's principle, a fundamental result of any wave theory, and combine it with de Broglie's assumption about the relation between momentum and wavelength, we are led at once to the principle of least action.",
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"ref": "1968, Petr Beckmann, The Depolarization of Electromagnetic Waves, Golem Press, page 108:",
"text": "[…], Keller simply postulates these rays and finds their direction from Fermat's principle adapted to the hypothesis that these rays exist.",
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"text": "1976, Donald E. Tilley, Walter Thumm, Physics for College Students, Cummings Publishing Company, page 558,\n[…] students wishing to pursue this branch of physics further will find that refraction too can be explained in terms of Fermat's principle."
}
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"glosses": [
"The principle, which links geometrical optics (or \"ray optics\") with wave optics, that the path traversed by a ray between two given points is: (in the original \"strong\" formulation) the one that takes the least time, or (in a weaker but more general formulation) one that takes a time that is \"stationary\" with respect to variations of the path (so that, loosely speaking, a small change in the ray path entails a very small change in the traversal time)."
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"(physics, optics) The principle, which links geometrical optics (or \"ray optics\") with wave optics, that the path traversed by a ray between two given points is: (in the original \"strong\" formulation) the one that takes the least time, or (in a weaker but more general formulation) one that takes a time that is \"stationary\" with respect to variations of the path (so that, loosely speaking, a small change in the ray path entails a very small change in the traversal time)."
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"word": "principle of least action"
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"word": "Fermat's principle of least time"
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"word": "principle of least time"
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"word": "principe de Fermat"
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"word": "Fermatsches Prinzip"
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"ref": "1968, Petr Beckmann, The Depolarization of Electromagnetic Waves, Golem Press, page 108:",
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"text": "1976, Donald E. Tilley, Walter Thumm, Physics for College Students, Cummings Publishing Company, page 558,\n[…] students wishing to pursue this branch of physics further will find that refraction too can be explained in terms of Fermat's principle."
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"The principle, which links geometrical optics (or \"ray optics\") with wave optics, that the path traversed by a ray between two given points is: (in the original \"strong\" formulation) the one that takes the least time, or (in a weaker but more general formulation) one that takes a time that is \"stationary\" with respect to variations of the path (so that, loosely speaking, a small change in the ray path entails a very small change in the traversal time)."
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"(physics, optics) The principle, which links geometrical optics (or \"ray optics\") with wave optics, that the path traversed by a ray between two given points is: (in the original \"strong\" formulation) the one that takes the least time, or (in a weaker but more general formulation) one that takes a time that is \"stationary\" with respect to variations of the path (so that, loosely speaking, a small change in the ray path entails a very small change in the traversal time)."
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"word": "Fermat's principle"
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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-15 from the enwiktionary dump dated 2024-12-04 using wiktextract (8a39820 and 4401a4c). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
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