1. Willebrord Snell Willebrord van Roijen Snell. Abstract Perhaps the most fundamental principle of geometrical optics is the Law of Refraction.(1) As light travels from one medium to another it undergoes what is called refraction, or a bending of its path. http://www.u.arizona.edu/~adeck

Willebrord van Roijen Snell Abstract: Perhaps the most fundamental principle of geometrical optics is the Law of Refraction.(1) As light travels from one medium to another it undergoes what is called refraction, or a bending of its path. Snell discovered that this bending was dependent upon three things - the index of refraction of the medium the light is in, the index of refraction the light is entering, and the angle of incidence for the ray at the interface. It was from these observations that Snell was able to derive the Law of Refraction, which is often referred to as Snell's Law. Biography: Willebrord van Roijen Snell was born in 1580 in Leiden, Netherlands. Willebrord's father was a professor of mathematics at the University of Leiden. It was a passion that Willebrord himself shared, although initially as a student Snell studied law. Snell entered the University at a very young age and and by the age of twenty he was traveling through Europe discussing astronomy in various countries. Willebrord was using his knowledge and passion for mathematics and applying it to some revolutionary work in astronomy. In 1617 Snell published Eratosthenes Batavus

2. Snell Willebrord Snell studied law at the University of Leiden but was very interestedin mathematics and taught mathematics even while he studied law. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Snell.html

Willebrord van Roijen Snell Born: 1580 in Leiden, Netherlands Died: 30 Oct 1626 in Leiden, Netherlands Click the picture above to see two larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Willebrord Snell studied law at the University of Leiden but was very interested in mathematics and taught mathematics even while he studied law. From about 1600 he travelled to various European countries, mostly discussing astronomy. In 1602 he went to Paris where his studies continued. He received his degree from Leiden in 1607. Snell's father, Rudolph Snell (1546-1613), was professor of mathematics at Leiden and, in 1604, Willebrord visited Switzerland with his father. In 1613 he succeeded his father as professor of mathematics at the University of Leiden. In 1617 Snell published Eratosthenes Batavus , which contains his methods for measuring the Earth. He proposed the method of triangulation and this work is the foundation of geodesy. Snell also improved the classical method of calculating approximate values of p by polygons. Using his method 96 sided polygons give

3. Willebrord Snell - Wikipedia, The Free Encyclopedia languages Slovenina Nederlands. Willebrord Snell. From Wikipedia, the free encyclopedia. set up a slave serverWillebrord Snell ( 15911626), also known as Snell van Royen http://www.wikipedia.org/wiki/Willebrord_Snell

Willebrord Snell From Wikipedia, the free encyclopedia. Willebrord Snell October 30 ), also known as Snell van Royen or Snellius , was a Dutch astronomer and mathematician , most famous for the law of refraction now known as Snell's law Snell was born at Leiden in . In he succeeded his father Rudolph Snell ( ) as professor of mathematics in the University of Leiden . In he planned and carried into practice a new method of finding the radius of the earth, by determining the distance of one point on its surface from the parallel of latitude of another, by means of triangulation . His work Eratosthenes Batavus ("The Dutch Eratosthenes "), published in , describes the method and gives as the result of his operations between Alkmaar and Bergen op Zoom km ). The actual distance is approximately 111 km. Snell was also a distinguished mathematician, producing a new method for calculating the first such improvement since ancient times. He discovered the law of refraction that is named after him in . He died at Leiden on the October 30 In addition to the Eratosthenes Batavus he published Cyclometria sive de circuli dimensione ), and

4. Poster Of Snell Willebrord Snell. lived from 1580 to 1626. Willebrord Snell is bestknown for the law of refraction, a basis of modern geometric optics http://www-gap.dcs.st-and.ac.uk/~history/Posters2/Snell.html

Willebrord Snell lived from 1580 to 1626 Willebrord Snell is best known for the law of refraction, a basis of modern geometric optics but it only become known after his death when Huygens published it. Find out more at http://www-history.mcs.st-andrews.ac.uk/history/ Mathematicians/Snell.html

5. Willebrord Snell - Wikipedia, The Free Encyclopedia Willebrord Snell. From Wikipedia, the free encyclopedia. WillebrordSnell (1591—October 30, 1626), also known as Snell van Royen http://en.wikipedia.org/wiki/Willebrord_Snell

Willebrord Snell From Wikipedia, the free encyclopedia. Willebrord Snell October 30 ), also known as Snell van Royen or Snellius , was a Dutch astronomer and mathematician , most famous for the law of refraction now known as Snell's law Snell was born at Leiden in . In he succeeded his father Rudolph Snell ( ) as professor of mathematics in the University of Leiden . In he planned and carried into practice a new method of finding the radius of the earth, by determining the distance of one point on its surface from the parallel of latitude of another, by means of triangulation . His work Eratosthenes Batavus ("The Dutch Eratosthenes "), published in , describes the method and gives as the result of his operations between Alkmaar and Bergen op Zoom km ). The actual distance is approximately 111 km. Snell was also a distinguished mathematician, producing a new method for calculating the first such improvement since ancient times. He discovered the law of refraction that is named after him in . He died at Leiden on the October 30 In addition to the Eratosthenes Batavus he published Cyclometria sive de circuli dimensione ), and

6. Snell WILLEBRORD SNELL (15801626), Willebrord Snell was an early seventeenth centuryDutch mathematician who is best known for his discovery of refraction. http://www.qerhs.k12.nf.ca/projects/physics/snell.html

WILLEBRORD SNELL Willebrord Snell was an early seventeenth century Dutch mathematician who is best known for his discovery of refraction. He was born in 1580 in a place called Lieden. Snell began to study math at a very young age as he was very interested in it. his father, Rudolph Snell, was a professor of mathematics at Leiden. Willebrord entered the university of Leiden at a young age where he originally studied law. Not long after, he turned his attention towards math and started teaching at the university by the time he was 20. After finishing with a degree, he traveled to eastern Europe and visited most of the famous astronomers today. In 1613, Snell succeeded his father as professor of mathematics. In 1617, he published "Eratosthenes Batavus", which explained his methodology for measuring the earth by triangulation. Snell had difficulty in finishing the book, however , he got help to finish it. Snell published other books, including his work on comets and in 1624 he published "Tiphys Batavus". This piece of work was on navigational theories. Although Snell discovered the law of refraction, he didn't publish it. He discovered this in 1621 and only in 1703 did it become known when "Huygens" published his results in "Dioptrica".

7. Willebrord Snell - Enciclopedia Libre Translate this page Willebrord Snell. Artículo de la Enciclopedia Libre Universal en Español.Willebrord Snell van Royen (Leiden, 1580 - 30 de octubre http://enciclopedia.us.es/index.php/Willebrord_Snell

Enciclopedia Libre Universal en Español Cambios recientes Edita esta página Historial ... Aviso Legal No has entrado Registrarse/Entrar Ayuda Willebrord Snell Artículo de la Enciclopedia Libre Universal en Español Willebrord Snell van Royen Leiden 30 de octubre de ), también conocido como Snellius , fue un astrónomo y matemático holandés célebre por la ley de la refracción que lleva su nombre. A pesar de comenzar los estudios de Derecho en la Universidad de Leiden mostró un gran interés por las matemáticas, disciplina que ya enseñaba incluso mientras cursaba sus estudios. En sustituyó a su padre, Rudolph Snell ( ), como profesor de matemáticas en la Universidad de Leyden. En planeó y llevó a cabo un nuevo método para medir el radio de la Tierra por medio de la determinación de la longitud de un arco de meridiano calculado mediante triangulación, trabajo considerado la fundación de la geodesia ; en su obra Eratosthenes Batavus, sive de terræ ambitus vera quantitate , publicado en , describe el método empleado y el resultado obtenido (107,395 km, frente a los 111 actuales). Además, Snel se distinguió como matemático mejorando el método para el cálculo de utilizado por los antiguos sabios griegos ; con un polígono de 96 lados obtuvo 7 cifras correctas, mientras que con los métodos clásicos sólo se habían obtenido 2. En

8. Willebrord Van Roijen Snell - Encyclopedia Article About Willebrord Van Roijen S encyclopedia article about Willebrord van Roijen Snell. Willebrord van RoijenSnell in Free online English dictionary, thesaurus and encyclopedia. http://encyclopedia.thefreedictionary.com/Willebrord van Roijen Snell

Dictionaries: General Computing Medical Legal Encyclopedia Willebrord van Roijen Snell Word: Word Starts with Ends with Definition Willebrord Snell Centuries: 15th century - 16th century - 17th century Decades: 1540s 1550s 1560s 1570s 1580s - Years: 1586 1587 1588 1589 1590 - Events June - Capture of Zutphen by the Dutch under Maurice of Nassau July - Capture of Deventer by the Dutch under Maurice of Nassau August - September - Maurice maneuvers cautiously against the Duke of Parma near Arnhem Click the link for more information. Centuries: 16th century - 17th century - 18th century Decades: 1570s 1580s 1590s 1600s 1610s - Years: 1621 1622 1623 1624 1625 - Events Spanish establish a trading colony on Taiwan. Peter Minuit, director of the New Netherland colony, begins a policy of "purchasing" Manhattan from the Lenape. Work begins on building the sailing ship HMS Wasa. The Duchy of Urbino is incorporated into the Papal States. The English Parliament impeach George Villiers, 1st Duke of Buckingham, favorite of Charles I of England. Charles I dissolves Parliament.

9. Willebrord Snell Willebrord Snell (15801626). Willebrord Snell was an early seventeenth-centuryDutch mathematician who is best known for determining http://www.spinaweb.ie/showcase/2001/spin1169/spinaweb/flashoflight/snell.htm

Willebrord Snell Willebrord Snell was an early seventeenth-century Dutch mathematician who is best known for determining that transparent materials have different indices of refraction depending upon their composition. Snell was born to an affluent family in Leiden in 1580, and started studying mathematics as a very young man. His father was a scholar and professor of mathematics at the University of Leiden. Snell entered the University of Leiden at a relatively young age where he originally studied law. His attention soon turned to mathematics and he was teaching at the university by the time he was 20 years old. After finishing with his degree at the university, he traveled to eastern Europe and visited most of the major astronomers of the day. In 1613, Snell succeeded his father as professor of mathematics at Leiden and in 1617, he published "Eratosthenes Batavus", which explained his methodology for measuring the Earth by triangulation. Snell had difficulty completing his work until the brother barons Sterrenberg took over and finished it with his assistance. This important work wove the foundations of modern geodesy. Snell also published other works, including his work on comets and in 1624, he published "Tiphys Batavus", a work on navigational theories. His work in mathematics allowed him to produce an improved method of calculating approximate values of pi using polygons. This method, using 96-sided polygons, produce a value of pi correct to seven places, a striking improvement to the classical method that yielded only two places.

10. Willebrord Snell - Wikipedia, The Free Encyclopedia slWillebrord Snell van RoyennlWillebrord snell willebrord Snell (1591—October30, 1626), also known as Snell van Royen or Snellius, was a Dutch astronomer http://www.peacelink.de/keyword/Willebrord_Snell.php

Not logged in Log in Help Willebrord Snell This is NOT the Wikipedia - The content is from the Wikipedia sl:Willebrord Snell van Royennl:Willebrord Snell Willebrord Snell October 30 ), also known as Snell van Royen or Snellius , was a Dutch astronomer and mathematician , most famous for the law of refraction now known as Snell's law Snell was born at Leiden in . In he succeeded his father Rudolph Snell ( ) as professor of mathematics in the University of Leiden . In he planned and carried into practice a new method of finding the radius of the earth, by determining the distance of one point on its surface from the parallel of latitude of another, by means of triangulation . His work Eratosthenes Batavus ("The Dutch Eratosthenes "), published in , describes the method and gives as the result of his operations between Alkmaar and Bergen op Zoom km ). The actual distance is approximately 111 km. Snell was also a distinguished mathematician, producing a new method for calculating the first such improvement since ancient times. He discovered the law of refraction that is named after him in . He died at Leiden on the October 30 In addition to the Eratosthenes Batavus he published Cyclometria sive de circuli dimensione ), and

11. Willebrord Snell Willebrord Snell. Snell s Law explaining the way in which a lightray is bent as it passes from one medium (for example, air) to http://www.math.duke.edu/education/prep03/FermatsPond/FermatsPond/Snell/Snell.ht

Willebrord Snell Snell's Law explaining the way in which a light ray is bent as it passes from one medium (for example, air) to another medium (for example, water) is described below in an excerpt from Calculus, Concepts and Contexts , by James Stewart.

12. Willebrord Snell Translate this page Willebrord snell willebrord Snell van Royen (Leiden, 1580 - 30 de octubre de 1626),también conocido como Snellius, fue un astrónomo y matemático holandés http://www.guajara.com/wiki/es/wikipedia/w/wi/willebrord_snell.html

Willebrord Snell Willebrord Snell van Royen (Leiden, 30 de octubre de ), también conocido como Snellius , fue un astrónomo y matemático holandés célebre por la ley de la refracción que lleva su nombre. A pesar de comenzar los estudios de Derecho en la Universidad de Leiden mostró un gran interés por las matemáticas, disciplina que ya enseñaba incluso mientras cursaba sus estudios. En sustituyó a su padre, Rudolph Snell ( ), como profesor de matemáticas en la Universidad de Leyden. En planeó y llevó a cabo un nuevo método para medir el radio de la Tierra por medio de la determinación de la longitud de un arco de meridiano calculado mediante triangulación, trabajo considerado la fundación de la geodesia ; en su obra Eratosthenes Batavus, sive de terræ ambitus vera quantitate , publicado en , describe el método empleado y el resultado obtenido (107,395 km, frente a los 111 actuales). Además, Snel se distinguió como matemático mejorando el método para el cálculo de utilizado por los antiguos sabios griegos ; con un polígono de 96 lados obtuvo 7 cifras correctas, mientras que con los métodos clásicos sólo se habían obtenido 2. En enunció la ley de refracción de la luz adelantándose, según

13. Willebrord Snell - Information An online Encyclopedia with information and facts Willebrord Snell Information,and a wide range of other subjects. Willebrord Snell - Information. http://www.book-spot.co.uk/index.php/Willebrord_Snell

Willebrord Snell - Information Home Mathematical and natural sciences Applied arts and sciences Social sciences and philosophy ... nl:Willebrord Snell Willebrord Snell ), also known as Snell van Royen or Snellius , was a Dutch astronomer and mathematician , most famous for the law of refraction now known as Snell's law Snell was born at Leiden in . In he succeeded his father Rudolph Snell ( ) as professor of mathematics in the University of Leiden . In he planned and carried into practice a new method of finding the radius of the earth, by determining the distance of one point on its surface from the parallel of latitude of another, by means of triangulation . His work Eratosthenes Batavus ("The Dutch Eratosthenes "), published in , describes the method and gives as the result of his operations between Alkmaar and Bergen op Zoom km ). The actual distance is approximately 111 km. Snell was also a distinguished mathematician, producing a new method for calculating the first such improvement since ancient times. He discovered the law of refraction that is named after him in . He died at Leiden on the October 30 In addition to the Eratosthenes Batavus he published Cyclometria sive de circuli dimensione ), and

14. Willebrord Snell Willebrord Snell. Willebrord Snell (1591 mdash1626), také známýjak Snell dodávka Royen nebo Snellius, byl Holandský astronom http://wikipedia.infostar.cz/w/wi/willebrord_snell.html

švodn­ str¡nka Tato str¡nka v origin¡le Willebrord Snell Willebrord Snell ), tak© zn¡m½ jak Snell dod¡vka Royen nebo Snellius , byl Holandsk½ astronom a matematik , nejv­ce slavn½ pro policii refrakce nyn­ zn¡m½ jak Snellovo pr¡vo Snell byl narozen½ u Leiden v . V on se podařil jeho otec Rudolph Snell ( ) jak profesor matematika v Univerzita Leiden . V on pl¡noval a dopravoval do praxe nov¡ metoda hled¡n­ okruh země, t­m, že urč­ vzd¡lenost jednoho bodu na jeho povrchu z analogie Å¡­Å™e jin½, prostředky vyměřov¡n­ . Jeho studium Eratosthenes Batavus (" Holandsk½ Eratosthenes "), publikoval v , popisuje metodu a d¡v¡ jako v½sledek jeho operac­ mezit­m Alkmaar a Bergen operačn­ zvětÅ¡en­ km ). Aktu¡ln­ mezera je přibližně 111 km. Snell byl tak© v½značn½ matematik, produkovat nov¡ metoda pro poč­tat nejprve takov© zlepÅ¡en­ od d¡vn© doby. On se dobral pr¡va refrakce, kter¡ je pojmenovan½ po něm v . On umřel u Leiden na Ř­jen 30 Nav­c k Eratosthenes Batavus on publikoval Cyclometria sive de circuli dimensione ), a

15. GEOLOGÍA - MINERALOGÍA Propiedades De La Materia Mineral - 2ª Translate this page Estos hechos vienen dados por las dos leyes de snell willebrord, geómetraholandés (1591-1626) que estableció una verdadera ley de refracción. http://www.iespana.es/natureduca/geol_mineral_propied2.htm

16. Poster Of Snell Willebrord Snell. died 372 years ago. 30th October 1626. WillebrordSnell is best known for the law of refraction, a basis of modern http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/1030b.htm

Willebrord Snell died 372 years ago 30th October 1626 Willebrord Snell is best known for the law of refraction, a basis of modern geometric optics but it only become known after his death when Huygens published it. Find out more at http://www-history.mcs.st-andrews.ac.uk/history/Mathematicians/Snell.html

17. Willebrord Snell Willebrord Snell (Snellius) (15801626). Willebrord Snell is best knownfor the law of refraction, a basis of modern geometric optics http://www.fys.kuleuven.ac.be/pradem/fysici/Snell.html

Pradem Leuven Demo's Applets Laboproeven ... Zoeken Willebrord Snell (Snellius) (1580-1626) Willebrord Snell is best known for the law of refraction, a basis of modern geometric optics but it only become known after his death when Huygens published it. Find out more at: http://www-history.mcs.st-andrews.ac.uk/history/Mathematicians/Snell.html Pradem Leuven Premonstreitcollege Plan Naamsestraat 61 3000 Leuven Opmaak: Tony Verheyden Laatste wijziging: 18-mar-04

18. AllRefer Encyclopedia - Willebrord Snell (Mathematics, Biographies) - Encycloped AllRefer.com reference and encyclopedia resource provides complete information on willebrord snell, Mathematics, Biographies. Includes related research links. Mathematics, Biographies willebrord snell. By Alphabet Encyclopedia AZ S. willebrord snell willebrord snellvil´ubrOrt snel, snelEus Pronunciation Key, 15911626 http://reference.allrefer.com/encyclopedia/S/Snell.html

AllRefer Channels :: Health Yellow Pages Reference Weather SEARCH : in Reference June 01, 2004 You are here : AllRefer.com Reference Encyclopedia Mathematics, Biographies ... Willebrord Snell By Alphabet : Encyclopedia A-Z S Willebrord Snell, Mathematics, Biographies Related Category: Mathematics, Biographies Willebrord Snell u brOrt snel, snel E u s] Pronunciation Key Eratosthenes Batavus (1617) and Cyclometricus Encyclopedia U com Check out around 175,000 brief encyclopedia articles on almost all topics. Related Categories: People Science and Technology Science and Technology Mathematics ... Biographies More articles from AllRefer Reference on Willebrord Snell Encyclopedia U com Check out around 175,000 brief encyclopedia articles on almost all topics. Content on this web site is provided for informational purposes only. We accept no responsibility for any loss, injury or inconvenience sustained by any person resulting from information published on this site. We encourage you to verify any critical information with the relevant authorities. About Us Contact Us Privacy Links Directory ... Link to AllRefer.com

19. Snell, Willebrord (1591-1626) -- From Eric Weisstein's World Of Scientific Biogr Alphabetical Index. About this site. Branch of Science , Mathematiciansv. Nationality , Dutch v. snell, willebrord (15911626), Dutch http://scienceworld.wolfram.com/biography/Snell.html

Branch of Science Mathematicians Nationality Dutch Snell, Willebrord (1591-1626) Dutch mathematician who discovered Snell's law of refraction which states that , where n i are the indices of refraction and are the angles from the normal. Despite Snell having his name attached to this law, the law of refraction had been investigated as long ago as Pythagoras and was first published by Descartes Descartes Pythagoras Additional biographies: MacTutor (St. Andrews)

20. Snell, Willebrord. The Columbia Encyclopedia, Sixth Edition. 2001 The Columbia Encyclopedia, Sixth Edition. 2001. snell, willebrord. (vl´ brôrt sn l, sn l s) (KEY) , 1591–1626, Dutch mathematician. http://www.bartleby.com/65/sn/Snell.html

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