Willebrord Snell - Revision history

Vdomashchenko3 at 04:13, 6 December 2015

2015-12-06T04:13:17Z

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	==Main Contributions==		==Main Contributions==

	~~State, in your own words, the main idea for this topic~~
	~~Electric Field of Capacitor~~

	===Law of Refraction===		===Law of Refraction===

Vdomashchenko3 at 04:12, 6 December 2015

2015-12-06T04:12:50Z

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	The Law of Refraction, also known as Snell's Law is used for determining the angle that a ray of light will bend away from the normal when it goes from one medium to another. The law of refraction is n1sin(x1) = n2sin(x2) where n1 in the index of refraction of one substance and x1 is the angle that light bends away from the normal in that substance, and n2 is the second index of refraction with x2 being the corresponding angle.		The Law of Refraction, also known as Snell's Law is used for determining the angle that a ray of light will bend away from the normal when it goes from one medium to another. The law of refraction is n1sin(x1) = n2sin(x2) where n1 in the index of refraction of one substance and x1 is the angle that light bends away from the normal in that substance, and n2 is the second index of refraction with x2 being the corresponding angle.
	More about this law can be read at [[Snell's Law]].		More about this law can be read at [[Snell's Law]].


	===Computing Pi===		===Computing Pi===

Vdomashchenko3 at 04:11, 6 December 2015

2015-12-06T04:11:24Z

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	==Biography==		==Biography==

	Willebrord Snell, also known as Willebrordus Snellius or Willebrord Snel van Royen, was born in the late 1500s. Although the exact year of birth is unknown it is most commonly given as 1581. He was the son of Rudolph Snellius who was a mathematics professor at the University of Leiden, in Germany. Although Snell did not go to school, his dad taught him much about science and mathematics while he was growing up. Willebrord Snell was accepted into college where he pursued a law career due to his father's wishes but continued studying and teaching math in place of his father when he was not able to do so himself. As time went by, Snell was given more and more classes to teach until he was a full professor. However, he still found spare time to research the subjects he found interesting. Three of his greatest achievements are explained below; they are the law of refraction, how he computed pi, and how he calculated the earth's radius.		Willebrord Snell, also known as Willebrordus Snellius or Willebrord Snel van Royen, was born in the late 1500s. Although the exact year of birth is unknown it is most commonly given as 1581. He was the son of Rudolph Snellius who was a mathematics professor at the University of Leiden, in Germany. Although Snell did not go to school, his dad taught him much about science and mathematics while he was growing up. Willebrord Snell was accepted into college where he pursued a law career due to his father's wishes but continued studying and teaching math in place of his father when he was not able to do so himself. As time went by, Snell was given more and more classes to teach until he was a full professor. However, he still found spare time to research the subjects he found interesting. Three of his greatest achievements are explained below; they are the law of refraction, how he computed pi, and how he calculated the earth's radius. Willebrord Snell was having difficulties with his health and the medicines that doctors gave him were not helping. He died suddenly while having dinner with his wife, and his law of refraction among other some other books he was working on were not published until after his death.

	==Main Contributions==		==Main Contributions==
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	The Law of Refraction, also known as Snell's Law is used for determining the angle that a ray of light will bend away from the normal when it goes from one medium to another. The law of refraction is n1sin(x1) = n2sin(x2) where n1 in the index of refraction of one substance and x1 is the angle that light bends away from the normal in that substance, and n2 is the second index of refraction with x2 being the corresponding angle.		The Law of Refraction, also known as Snell's Law is used for determining the angle that a ray of light will bend away from the normal when it goes from one medium to another. The law of refraction is n1sin(x1) = n2sin(x2) where n1 in the index of refraction of one substance and x1 is the angle that light bends away from the normal in that substance, and n2 is the second index of refraction with x2 being the corresponding angle.
	More about this law can be read at *[[Snell's Law]]		More about this law can be read at [[Snell's Law]].


	===Computing Pi===		===Computing Pi===

	~~How do we visualize or predict~~ using ~~this topic~~. ~~Consider embedding some vpython code here [https://trinket~~.~~io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]~~		Willebrord Snell used polygons to compute the digits of pi. Earlier methods could only compute pi accurately to two decimal places, but using Snell's method with 96 polygons, the number could be calculated to 7 decimal places. Snell came up with his more accurate approximation by adding more sides to the polygons who's lengths and areas he was calculating, and divided their area by three.

	===Earth's Radius Calculation===		===Earth's Radius Calculation===

			In one of the books Snell published there was a method of how he calculated the radius of the earth. Snell used triangulation, a method he came up with, to calculate the distance between two towns that were on the same meridian. These two towns were Alkmaar and Bergen-op-Zoom, which are 130 km away from each other, and he was only a few km off. Using this base distance and larger triangles he was able to calculate the radius. Another method to do this would require journeying through different parts of Europe, but Snell was not only a great scientist but also a family-man, and he did not like leaving his relatives behind.

	==Connectedness==		==Connectedness==
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	http://www-history.mcs.st-andrews.ac.uk/Biographies/Snell.html		http://www-history.mcs.st-andrews.ac.uk/Biographies/Snell.html

			http://micro.magnet.fsu.edu/optics/timeline/people/snell.html

			http://db.math.ust.hk/articles/history_pi/e_history_pi.htm

	[[Category: Notable Scientists]]		[[Category: Notable Scientists]]

Vdomashchenko3 at 03:57, 6 December 2015

2015-12-06T03:57:11Z

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	===Law of Refraction===		===Law of Refraction===

	The Law of Refraction, also known as Snell's Law is used for determining the angle that a ray of light will bend away from the normal when it goes from one medium to another.		The Law of Refraction, also known as Snell's Law is used for determining the angle that a ray of light will bend away from the normal when it goes from one medium to another. The law of refraction is n1sin(x1) = n2sin(x2) where n1 in the index of refraction of one substance and x1 is the angle that light bends away from the normal in that substance, and n2 is the second index of refraction with x2 being the corresponding angle.
			More about this law can be read at *[[Snell's Law]]


	===Computing Pi===		===Computing Pi===

Vdomashchenko3 at 03:51, 6 December 2015

2015-12-06T03:51:50Z

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	Made by Viktoria Domashchenko Q03		Made by Viktoria Domashchenko Q03

	Willebrord Snell is a ~~wel~~-known mathematician and physicist, most known for his law of refraction.		Willebrord Snell is a well-known mathematician and physicist, most known for his law of refraction.

	[[File:willebrord-snell-2_vdomashchenko3.jpg]]		[[File:willebrord-snell-2_vdomashchenko3.jpg]]
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	===Earth's Radius Calculation===		===Earth's Radius Calculation===

	~~==Modern Day Applications==~~

	~~Be sure to show all steps in your solution and include diagrams whenever possible~~

	~~===Simple===~~
	~~===Middling===~~
	~~===Difficult===~~

	==Connectedness==		==Connectedness==

Vdomashchenko3 at 03:45, 6 December 2015

2015-12-06T03:45:50Z

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	== See also ==		== See also ==

	[[~~Category:~~ Snell's Law]]		*[[Snell's Law]]
	[[~~Category:~~ Lenses]]		*[[Lenses]]
	[[~~Category:~~ Refraction]]		*[[Refraction]]

	==References==		==References==

Vdomashchenko3 at 03:44, 6 December 2015

2015-12-06T03:44:45Z

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	[[Category: Snell's Law]]		[[Category: Snell's Law]]
	[[Category: Lenses]]		[[Category: Lenses]]
	[[Category: ~~Reraction~~]]		[[Category: Refraction]]

	==References==		==References==

Vdomashchenko3 at 03:43, 6 December 2015

2015-12-06T03:43:29Z

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	== See also ==		== See also ==

	~~Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?~~		[[Category: Snell's Law]]
			[[Category: Lenses]]
	~~===Further reading===~~		[[Category: Reraction]]

	~~Books, Articles or other print media on this topic~~

	~~===External links===~~


	==References==		==References==

Vdomashchenko3 at 03:40, 6 December 2015

2015-12-06T03:40:23Z

← Older revision		Revision as of 23:40, 5 December 2015
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	==Biography==		==Biography==

	Willebrord Snell, also known as Willebrordus Snellius or Willebrord Snel van Royen, was born in the late 1500s. Although the exact year of birth is unknown it is most commonly given as 1581. He was the son of Rudolph Snellius who was a mathematics professor at the University of Leiden, in Germany. Although Snell did not go to school, his dad taught him much about science and mathematics while he was growing up. Willebrord Snell was accepted into college where he pursued a law career due to his father's wishes but continued studying and teaching math in place of his father when he was not able to do so himself.		Willebrord Snell, also known as Willebrordus Snellius or Willebrord Snel van Royen, was born in the late 1500s. Although the exact year of birth is unknown it is most commonly given as 1581. He was the son of Rudolph Snellius who was a mathematics professor at the University of Leiden, in Germany. Although Snell did not go to school, his dad taught him much about science and mathematics while he was growing up. Willebrord Snell was accepted into college where he pursued a law career due to his father's wishes but continued studying and teaching math in place of his father when he was not able to do so himself. As time went by, Snell was given more and more classes to teach until he was a full professor. However, he still found spare time to research the subjects he found interesting. Three of his greatest achievements are explained below; they are the law of refraction, how he computed pi, and how he calculated the earth's radius.

	==Main Contributions==		==Main Contributions==

Vdomashchenko3 at 03:38, 6 December 2015

2015-12-06T03:38:40Z

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	==Connectedness==		==Connectedness==

	Although today we have more accurate ways to measure the radius of the Earth and the digits of pi, it is still awe-inspiring to know that he was able to have such accuracy without all the technology we have today. Most important, though, is his law of refraction. This is used in modern day for many practical applications such as making glasses for people to wear. Because glass bends light is it important to know the index of refraction and the angle that the light will bend so that the person wearing the glasses can see clearly.		Although today we have more accurate ways to measure the radius of the Earth and the digits of pi, it is still awe-inspiring to know that he was able to have such accuracy without all the technology we have today. Most important, though, is his law of refraction. This is used in modern day for many practical applications such as making glasses for people to wear. Because glass bends light is it important to know the index of refraction and the angle that the light will bend so that the person wearing the glasses can see clearly. Refraction is also used very often in the food industry for measuring the amount of sugar inside liquid solutions with a devise known as a refractor. If the angle of light is not what is expected, the companies producing the candy can modify the liquid solution until it is the right consistency.

	== See also ==		== See also ==
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	===External links===		===External links===
	~~http://www-history.mcs.st-andrews.ac.uk/Biographies/Snell.html~~

	==References==		==References==