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         Snell Willebrord:     more detail
  1. Willebrord Snell: An entry from Gale's <i>Science and Its Times</i> by Stephen D. Norton, 2001
  2. Willebrord Snell: An entry from Gale's <i>Science and Its Times</i>

1. 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".

2. Famous People
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3. 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.

4. Snell Biography
Willebrord van Roijen snell willebrord Snell was a great scientist, mathematician,and astronomer. Willebrord Snell was born in Leiden, Netherlands, in 1580.
http://www.angelfire.com/scifi/concordiasci/snell/snellbiography.html
Willebrord van Roijen Snell Willebrord Snell was a great scientist, mathematician, and astronomer. He had many great accomplishments in his lifetime. Willebrord Snell was born in Leiden, Netherlands, in 1580. He attended the University of Leiden where he studied law. However, he wanted to work with mathematics and he even taught math while he studied law. He was able to give mathematics lectures at Leiden on special days. He graduated with his degree in 1607.(1) Snell contributed to the science of optics when, in 1621, he discovered the basic law of refraction. (4) Refraction is the bending of waves caused by a change in their speed when they move from one medium to another. However, it did not become known until 1703 when Huygens published Dioptrica which included Snell's discovery. (1) Other major accomplishments include Eratosthenes Batavus, which was a way of measuring earth by triangulations and would eventually become the foundation of modern geodesy(2); and improving "pi" estimation, by using a 96 sided polygon. Snell also worked with loxodrome, the path on the sphere that makes constant angle with the meridians. (3) Willebrord van Roijen Snell died at the age of 46 in Leiden, Netherlands on October 30, 1626. He had stayed and did all his studies in the Netherlands. Although he didn't have a very long life span he contributed a lot to the science of optics and mathematics.

5. GEOLOGÍA - MINERALOGÍA: Propiedades De La Materia Mineral - 2ª Parte
Translate this page Estos hechos vienen dados por las dos leyes de snell willebrord, geómetraholandes (1591-1626) que estableció una verdadera ley de refracción.
http://usuarios.lycos.es/ecoweb/geol_mineral_propied2.htm
Geología MINERALOGÍA Propiedades de la materia mineral
2ª parte ropiedades ópticas... Color y raya... El color de un mineral resulta de la luz que refleja. Según el espectro de luz que absorbe presentará un color u otro; si absorbe la luz blanca mostrará color negro; si por el contrario refleja el espectro presentará color blanco. Este parámetro no es un criterio absoluto para su identificación. Para la observación del color debe utilizarse una superficie lisa y ausente de manchas. Por su parte, la raya puede ser de color diferente al del cuerpo del mineral; se trata del color que muestra el polvo fino que contiene. La raya puede obtenerse frotando el mineral con una superficie áspera de porcelana. La pirita es un ejemplo de mineral de brillo metálico. Brillo... El brillo de un mineral es el aspecto que presenta la superficie ante la reflexión de la luz, la cual es diferente según el tipo de mineral. Los minerales mate , son aquellos que no tienen brillo, tales como el caolín y la bauxita. El brillo de un mineral puede ser metálico como la pirita, o generalmente no metálico como el cuarzo. Entre los brillos no metálicos se distinguen:

6. SNELL, WILLEBRORD
American pitvipers by the possession of a loreal shield, i
http://85.1911encyclopedia.org/S/SN/SNELL_WILLEBRORD.htm
document.write("");
SNELL, WILLEBRORD
American pit-vipers by the possession of a loreal shield, i.e. a shield intercalated between the two preoculars and the posterior nasal; below the loreal lies the pit. The moccasin and the water-viper have occasionally been mentioned under the name of Trigonocephalus cenchris, one of the many synonyms. Lachesis has the upper surface of the head covered, with very small shields, or with scales, and contains about 40 species, in S. and Central America, the Antilles and also in SE. Asia. The most ill-famed is L. s. Bothrops s. Craspedocephalus lanceolatus, which inhabits the greater part of S. America, extending into Mexico and the Lower Antilles. notably Martinique, Guadaloupe and Santa Lucia, where it is known as the “Fer de Lance “; Mexicans call it rabo de hueso” or bone-tail, on account of the curiously coloured and spike-like tip of the tail. It is a very quick and highly irascible beast and even known to turn on its pursuer. It grows to a length of 6 ft., lives in swamps, plantations, forests, on the plains and on the hills, and is very prolific, ploducing dozens of young, which at birth are 10 in. long and as vicious as their parents. L. s Trimeresurus gramineus s. viridis s. erythurus is one of the Asiatic species, ranging over the whole of India to Hong-kong, Timor and even to the Andaman and Nicobar Islands. It is arboreal, bright green above; the end of the prehensile tail is usually bright

7. 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)
Author: Eric W. Weisstein

8. Molecular Expressions: Science, Optics And You - Timeline - 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 the composition.
http://micro.magnet.fsu.edu/optics/timeline/people/snell.html

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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

9. BBC - History - Willebrord Van Roijen Snell (1580 - 1626)
Described by Kepler as 'a credit to the geometry of our century', snell was a mathematical prodigy whose early work on triangulation led to further discoveries in optics and the value of pi.
http://www.bbc.co.uk/history/historic_figures/snell_willebrord_van_roijen.shtml

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Willebrord van Roijen Snell (1580 - 1626)
The son of a mathematician and linguist, Snell was originally intended to study law, but loved mathematics so much that by the age of eleven he was lecturing it at Leyden University alongside his law studies. In 1600 he travelled around Europe for two years before moving to Paris, once more to study law. However, on arrival back in Leyden in 1604 he decided to concentrate fully on mathematics. From 1610 he lectured on astronomy and mathematics for two years, becoming a full professor in 1615, upon which he decided to determine the meridian; the circumference of the earth. He established a network of cities forming triangles. A single measurement of a carefully selected baseline of just a few hundred metres enabled him to calculate the distances between all the towns via triangulation. He started with his house and local church towers as the triangulation points, eventually computing the distance between Alkmaar in the North and Bergen-op-Zoom in the South, a distance of 130km. As the use of astronomy had told him the latitude of these towns, he could calculate the distance between single lines of latitude, and therefore the circumference of the earth. In 1617 he published his results, stating the distance of one-degree latitude to be 28 500 roods, or 107km. This implied the earth's circumference to be 38 500km, not far from the real figure of 40 000km. He repeated the experiment at a later date, when Leyden flooded and then froze, giving him a perfectly flat baseline from which to measure.

10. Willebrord Van Roijen Snell
willebrord Van Roijen snell foi um matemático holandês, que nasceu em 1591 e morreu em 1626.
http://www.brasil.terravista.pt/magoito/1866/Historia/snell.htm
Willebrord Van Roijen Snell N Bibliografia

11. 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 a larger version 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

12. References For Snell
References for willebrord snell. C De Waard, willebrord snell, Nieuw Nederlandschbiographisch woordenboek 7 (Leiden, 1927), 11551163.
http://www-gap.dcs.st-and.ac.uk/~history/References/Snell.html
References for Willebrord Snell
  • Biography in Dictionary of Scientific Biography (New York 1970-1990). Books:
  • N D Haasbroek, Gemma Frisius, Tycho Brahe and Snellius, and their Triangulations (Delft, 1968). Articles:
  • L Beek, Willibrord Snellius, in Dutch Pioneers of Science
  • F Hallyn, Kepler, Snell and the law of refraction (Dutch), Med. Konink. Acad. Wetensch. Belgie
  • D Huylebrouck, [Willebrord] Snellius's [1580-1626] memorial stone, Math. Intelligencer
  • W B Joyce and A Joyce, Descartes, Newton, and Snell's law, J. Opt. Soc. Amer.
  • P van Geer, Notice sur la vie et les travaux de Willebrord Snellius,
  • C De Waard, Willebrord Snell, Nieuw Nederlandsch biographisch woordenboek (Leiden, 1927), 1155-1163. Main index Birthplace Maps Biographies Index
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  • 13. Snell
    Biography of willebrord snell (15801626) willebrord snell studied law at the University of Leiden but was very interested in mathematics and taught mathematics
    http://www-groups.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 a larger version 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

    14. WIEM: Snell Van Royen Willebrord
    snell van Royen willebrord, snellius (15801626), niderlandzki matematyk, astronom, fizyk i geodeta. Profesor uniwersytetu w Lejdzie (od 1613
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    wiem.onet.pl napisz do nas losuj: has³a multimedia Fizyka, Matematyka, Astronomia, Geografia, Holandia
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    Snell van Royen Willebrord, Snellius (1580-1626), niderlandzki matematyk, astronom, fizyk i geodeta. Profesor uniwersytetu w Lejdzie (od 1613). Opracowa³ zasadê pomiarów triangulacyjnych i na ich podstawie wyznaczy³ d³ugo¶æ po³udnika (1615-1617). Sformu³owa³ prawa optyki geometrycznej prawo za³amania ¶wiat³aprawo odbicia ¶wiat³a Odwied¼ w Internecie Astronomia Powi±zania Triangulacja Za³amania ¶wiat³a prawo Optyka Odbicie ¶wiat³a ... do góry Encyklopedia zosta³a opracowana na podstawie Popularnej Encyklopedii Powszechnej Wydawnictwa Fogra

    15. 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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    16. Snellius, Willebrord. The Columbia Encyclopedia, Sixth Edition. 2001
    2001. snellius, willebrord. see snell, willebrord. The Columbia Encyclopedia,Sixth Edition. Copyright © 2002 Columbia University Press.
    http://www.bartleby.com/65/x-/X-Snellius.html
    Select Search All Bartleby.com All Reference Columbia Encyclopedia World History Encyclopedia World Factbook Columbia Gazetteer American Heritage Coll. Dictionary Roget's Thesauri Roget's II: Thesaurus Roget's Int'l Thesaurus Quotations Bartlett's Quotations Columbia Quotations Simpson's Quotations English Usage Modern Usage American English Fowler's King's English Strunk's Style Mencken's Language Cambridge History The King James Bible Oxford Shakespeare Gray's Anatomy Farmer's Cookbook Post's Etiquette Bulfinch's Mythology Frazer's Golden Bough All Verse Anthologies Dickinson, E. Eliot, T.S. Frost, R. Hopkins, G.M. Keats, J. Lawrence, D.H. Masters, E.L. Sandburg, C. Sassoon, S. Whitman, W. Wordsworth, W. Yeats, W.B. All Nonfiction Harvard Classics American Essays Einstein's Relativity Grant, U.S. Roosevelt, T. Wells's History Presidential Inaugurals All Fiction Shelf of Fiction Ghost Stories Short Stories Shaw, G.B. Stein, G. Stevenson, R.L. Wells, H.G. Reference Columbia Encyclopedia PREVIOUS NEXT ... BIBLIOGRAPHIC RECORD The Columbia Encyclopedia, Sixth Edition. Snellius, Willebrord

    17. Snell, Willebrord
    snell, willebrord van Roijen. (15801626). Holandský fyzik a optik.Je objevitelem zákona lomu. Podrobne zkoumal krivku loxodromu.
    http://www.aldebaran.cz/famous/people/Snell_Willebrord.html
    Snell, Willebrord van Roijen
    Holandský fyzik a optik. Je objevitelem zákona lomu. Podrobnì zkoumal køivku loxodromu. vylepšil metodu výpoètu èísla p pomocí polygonù a spoèítal ho na 7 platných cifer (v té dobì bylo známé na 2 platné cifry). Astrofyzika Galerie Sondy Úkazy ... Odkazy

    18. Snell, Willebrord
    snell or snellius, willebrord, vil'ubrôrt snel, snelEus PronunciationKey. snell or snellius, willebrord , 1591–1626, Dutch mathematician.
    http://www.infoplease.com/ce6/people/A0845695.html

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    Newsletter You've got info! Help Site Map Visit related sites from: Family Education Network Encyclopedia Snell or Snellius, Willebrord u E u s] Pronunciation Key Snell or Snellius, Willebrord , Dutch mathematician. He is generally credited with the discovery (1621) of the law of the refraction of light. In 1613 he became professor of mathematics at the Univ. of Leiden. His two chief works are Eratosthenes Batavus (1617) and Cyclometricus Snell, George Davis snipe Search Infoplease Info search tips Search Biographies Bio search tips About Us Contact Us Link to Infoplease ... Privacy

    19. Snell, Willebrord
    snell, willebrord (15811626). Dutch mathematician and physicist whodevised the basic law of refraction, known as snell's law, in 1621.
    http://www.cartage.org.lb/en/themes/Biographies/MainBiographies/S/snell_1/1.html
    Snell, Willebrord Dutch mathematician and physicist who devised the basic law of refraction, known as Snell's law, in 1621. He also founded the method of determining distances by triangulation.
    Snell was born in Leiden, where he studied and eventually became professor.
    Snell developed the method of triangulation in 1615, starting with his house and the spires of nearby churches as reference points. He used a large quadrant over 2 m/7 ft long to determine angles, and by building up a network of triangles, was able to obtain a value for the distance between two towns on the same meridian. From this, Snell made an accurate determination of the radius of the Earth.
    The laws describing the reflection of light were well known in antiquity, but the principles governing the refraction of light were little understood. Snell's law was published by French mathematician Descartes in 1637. He expressed the law differently from Snell, but could easily have derived it from Snell's original formulation. Whether Descartes knew of Snell's work or discovered the law independently is not known.

    20. Physicists
    Translate this page Shockley, William Shull, Clifford G. Siegbahn, Kai M. Siegbahn, Karl Manne GeorgSimon, Franz Eugen, Sitter, Willem de snell, willebrord Sommerfeld, Arnold Stark
    http://www.cartage.org.lb/en/themes/Biographies/Categories/Scientists/Physicists
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