Leonhard Euler - Revision history

Jkoh35 at 01:11, 2 December 2015

2015-12-02T01:11:48Z

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	* https://muse.jhu.edu/journals/perspectives_on_science/v016/16.4.pedersen.html Euler's Wave Theory of Light		* https://muse.jhu.edu/journals/perspectives_on_science/v016/16.4.pedersen.html Euler's Wave Theory of Light
	* http://web.mit.edu/16.unified/www/SPRING/materials/Lectures/M4.7-Unified09.pdf Euler's Column Formula		* http://web.mit.edu/16.unified/www/SPRING/materials/Lectures/M4.7-Unified09.pdf Euler's Column Formula
			* http://eulerarchive.maa.org/pages/E088.html ''Nova theoria lucis et colorum''

	==References==		==References==

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Work in Astronomy

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	===Work in Astronomy===		===Work in Astronomy===

	====Understanding the nature of comets====		====Understanding the nature of comets====
	In addition to his work with classical mechanics, Euler was recognized by Paris Academy Prizes over the course of his career for calculating, with great accuracy, the orbits of comets and other celestial bodies.		In addition to his work with classical mechanics, Euler was recognized by Paris Academy Prizes over the course of his career for calculating, with great accuracy, the orbits of comets and other celestial bodies.


	====Calculating the parallax of the sun====		====Calculating the parallax of the sun====
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	[[File:Parallax Example.svg\|thumb\|300px\|right\|A simplified illustration of the parallax of an object]]		[[File:Parallax Example.svg\|thumb\|300px\|right\|A simplified illustration of the parallax of an object]]

	Euler calculated the parallax of the sun, calculating the difference in the apparent position of the object and the actual position of the object. Euler’s calculation of the parallax later led to the development of more accurate longitude tables.		Euler calculated the parallax of the sun, calculating the difference in the apparent position of the object and the actual position of the object. Euler’s calculation of the parallax later led to the development of more accurate longitude tables.

	===Work in optics===		===Work in optics===

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	===Work in optics===		===Work in optics===

	[[File:Laser Interference.JPG\|thumb\|Diffraction pattern of red laser beam ~~made on a plate after passing a small circular hole in another plate~~]]		[[File:Laser Interference.JPG\|thumb\|Diffraction pattern of red laser beam]]

	While Newton argued that light was made of particles, Euler argued that light behaved more like waves. In ''Nova theoria lucis et colorum'' (1746), Euler argued that diffractions can be more easily argued with the wave theory rather than the previous “pulse theory”. Euler’s wave theory remained the dominant theory about light until the quantum theory of light.		While Newton argued that light was made of particles, Euler argued that light behaved more like waves. In ''Nova theoria lucis et colorum'' (1746), Euler argued that diffractions can be more easily argued with the wave theory rather than the previous “pulse theory”. Euler’s wave theory remained the dominant theory about light until the quantum theory of light.

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 :<math>p</math> = pressure, and
 :<math>\rho</math> = fluid density
 == See also ==

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Structural Engineering

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	:<math>F</math> = maximum or critical force (vertical load on column),		:<math>F</math> = maximum or critical force (vertical load on column),
	:<math>E</math> = modulus of elasticity (Young's Modulus),		:<math>E</math> = modulus of elasticity (Young's Modulus),
	:<math>I</math> = area moment of inertia,		:<math>I</math> = area moment of inertia, and
	:<math>L</math> ~~= unsupported length of column,~~		:<math>K L</math> is the length of the column.
	~~:<math>K</math> = column effective length factor, depending on~~ the ~~conditions of end support of the column~~
	~~:<math>K L</math> =~~ length of the column.

	===Fluid Dynamics===		===Fluid Dynamics===

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References

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	==References==		==References==

	~~This section contains the the references you used while writing this page~~		* Weisstein, Eric W. "Euler's Equations of Inviscid Motion." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/EulersEquationsofInviscidMotion.html
			* "The Euler-Bernoulli Beam." (2005): 368-401. Center for Aerospace Structures. University of Colorado Boulder, 2005. Web. 1 Dec. 2015.
			* Grieve, David J. "Euler Buckling Formula Derivation." Euler Buckling Formula Derivation. Plymouth University, 1 Mar. 2004. Web. 01 Dec. 2015.
			* Musielak, Dora. "Euler: Genius Blind Astronomer Mathematician." (n.d.): n. pag. ArXiv.org. Cornell University Library, 28 June 2014. Web. 1 Dec. 2015.

	[[Category:~~Which Category did you place this in?~~]]		[[Category:Notable Scientists]]

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External links

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	* http://micro.magnet.fsu.edu/optics/timeline/people/euler.html Euler's work on optics		* http://micro.magnet.fsu.edu/optics/timeline/people/euler.html Euler's work on optics
	* https://muse.jhu.edu/journals/perspectives_on_science/v016/16.4.pedersen.html Euler's Wave Theory of Light		* https://muse.jhu.edu/journals/perspectives_on_science/v016/16.4.pedersen.html Euler's Wave Theory of Light
			* http://web.mit.edu/16.unified/www/SPRING/materials/Lectures/M4.7-Unified09.pdf Euler's Column Formula

	==References==		==References==

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Structural Engineering

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	===Structural Engineering===		===Structural Engineering===
	Euler also published a formula for calculating the force where the strut would fail that is often used in structural engineering.		Euler also published a formula for calculating the force where the strut would fail that is often used in structural engineering, commonly referred to as Euler's Column Formula.

	:<math>F=\frac{\pi^2 EI}{(KL)^2}</math>		:<math>F=\frac{\pi^2 EI}{(KL)^2}</math>

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External links

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	===External links===		===External links===

	~~Internet resources~~ on ~~this topic~~		* http://eulerarchive.maa.org/ A digital library dedicated to the work and life of Leonhard Euler
			* http://micro.magnet.fsu.edu/optics/timeline/people/euler.html Euler's work on optics
			* https://muse.jhu.edu/journals/perspectives_on_science/v016/16.4.pedersen.html Euler's Wave Theory of Light

	==References==		==References==

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	===Further reading===		===Further reading===

	* ~~{{cite book \|authorlink=William~~ Dunham ~~(mathematician) \|first=~~William ~~\|last=Dunham \|title=~~Euler: The Master of Us All ~~\|url=https:~~/~~/books~~.~~google~~.~~com/books?id=uKOVNvGOkhQC \|year=1999 \|publisher=~~Mathematical Association of America ~~\|isbn=978-0-88385-328-3 \|ref=harv}}~~		* Dunham, William. <i>Euler: The Master of Us All</i>. Washington, D.C.: Mathematical Association of America, 1999. Print.

	===External links===		===External links===