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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>

61. Note-A-Rific: Snell's Law
In the year 1600 a Dutch mathematician named willebrord snell was playing aroundwith numbers and figured out a formula that fit what everyone was measuring.
http://studyphysics.iwarp.com/20/unit4/geometric/refraction/snell/note.htm
Note-A- Rific : Snell’s Law
Have you ever looked at someone standing in the shallow end of a swimming pool and thought that they looked really short? As soon as they stepped out they looked taller. Something must be happening to the way that light is traveling to your eyes. Your brain and eyes always assume that the light is traveling to your eyes in a straight line… which is not always the case! This does not mean that light travels in curved lines, but the direction that a beam of light is traveling can be changed. What is really happening is refraction , the bending of waves as they pass from one medium to another. In the swimming pool example, the light traveling through the water from the person’s feet must be bending and moving in another direction when it enters the air … this makes their feet appear to be in a different spot making the person look shorter. Since Ptolemy’s time (about 100AD) people knew about refraction, but they didn’t know why it happened, or how to predict and calculate it. In the year 1600 a Dutch mathematician named Willebrord Snell was playing around with numbers and figured out a formula that fit what everyone was measuring.

62. Expatica.com - News & Community For Expatriates In The Netherlands
spiekbriefje. Name willebrord snell or snellius. Number 008. willebrord snellis most famous for his discovery of the law of refraction. What's that?
http://www.expatica.com/main.asp?pad=34,70,&item_id=6095

63. Upphaf Endir Nafn Staður Titill Slóð 1512 1594 Mercator,
sögulegu samhengi. 1618, snell, willebrord, Holland, Ljósbrotslögmálið,Lögmálið í ljósi sögu ljósbrotsfræða. 1618, 1648,
http://www.visindavefur.hi.is/forsida_SA2.asp
Upphaf Endir Nafn Staður Titill Slóð Mercator, Gerhard Flæmingjaland Kortagerðarmaður Kortasaga Íslands Brueghel, Pieter eldri Flæmingjaland Málari Inngangstexti ásamt helstu verkum um 1550 Evrópa Kartaflan berst til Evrópu frá Suður-Ameríku Brot úr sögulegum textum um kartöfluna Ortelius, Abraham Flæmingjaland Kortagerðarmaður Sundurliðun á ævi og starfi Jesúítar Regla Kristmunka (Jesúíta) stofnuð Yfirlit um vísindaiðkun Jesúíta Byssusmíð hefst El Greco Spánn Málari Saga málarans og verk Kópernikus Um snúninga himinhvelanna kemur út Kirkjuþingið í Trento Brahe, Týchó Saga Brahes í stuttu máli ásamt tenglum Cervantes, Miguel de Spánn Skrifar Don Kíkóta Don Kíkóti á ensku Brúnó, Gíordanó Grunnupplýsingar og tenglar Elísabet I England Drottning Evrópa Tóbak berst til Evrópu Bacon, Francis Bretland Reynsluhyggja Shakespeare, William England Höfundarverk Shakespeares Galílei, Galíleó Saga Galíleós og ágætir tenglar Kepler, Jóhannes Lögmál Keplers útskýrð með hreyfimyndum Holland, Spánn Hollendingar rísa gegn yfirráðum Spánverja Saga uppreisnarinnar Frakkland Fjöldamorð á húgenottum (frönskum kalvínistum) Saga trúarstríðanna sem hefjast með fjöldamorðunum Rúdolf II Þýsk lönd Keisari Saga Rúdolfs II, frá áhugamanni um brjálaða einvalda

64. ALTREC.COM - Flyfish: Fishing Snell's Window
Named for willebrord van Roijen snell, who described its effects in1621, the window is a phenomenon of light refraction (bending).
http://www.altrec.com/published/flyfish/skills/fishingsnellswindow/
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Skills Where to Go ... Photo Galleries SHOP EXTRAS Gift Certificates Size Finder Fishing Snell's Window By Jason Borger Named for Willebrord van Roijen Snell, who described its effects in 1621, the window is a phenomenon of light refraction (bending). Light that enters the water from horizon to horizon (180 degrees) is bent (refracted) into a cone approximately 97 degrees wide. The window’s 97-degree angle is constant, with only the diameter of the window changing with depth (the diameter is 2.26 times the depth). The lower the angle of the light in relation to the water’s surface, the more it is bent upon entering the water. From below the surface of the water, the window appears as a circle overhead. The images in the center of the window are normal in shape, while those images near the fringes of the window appear distorted. As an object (think: you or your fly rod, line and fly) comes from the fringe to the center, it will loom into view.

65. Oilfield Glossary: Term 'Snell's Law'
seismic waves. It is named for willebrord Snel (1580 to 1626), a Dutchmathematician. snell's law can be written as snell's law
http://www.glossary.oilfield.slb.com/Display.cfm?Term=Snell's law

66. ScienceWeek Archive
technique for observing refraction, and with this technique he discovered the correctlaw of refraction by 1602, 19 years before willebrord snell (1580 1626
http://scienceweek.com/2001/sw011012.htm

Web Edition Entry
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Subscribe to ScienceWeek for Analysis of Current Trends in Research... Click Go. SW MAIN PAGE

67. PRISMA - Práctica 1_3 - Refracción Y Reflexión - Programa De Nuevas Tecnolog
Translate this page Entre los papeles hallados a la muerte del matemático holandés willebrord snelliusen 1626 se snell determinó experimentalmente la siguiente relación
http://enebro.pntic.mec.es/~fmag0006/Prism103.html
De Ptolomeo a Willebrord Snellius Figura 4 , A y A . Los puntos B , B y B Figura 5
Página siguiente

68. Natur Des Lichts
Translate this page snellius. snellius, willebrordus (willebrord snell van Roijen), geboren 1580in Leiden. snellius war ein niederländischer Mathematiker und Physiker.
http://members.aol.com/mblicht1/snellius.htm
Snellius
Snellius, Willebrordus (Willebrord Snell van Roijen), geboren 1580 in Leiden.
1621 fand er das nach ihm benannte Snelliussche Brechungsgesetz.

69. The Mathematics Of Rainbows
told to explain rainbows. In 1621, the basic Law of Refraction wasproposed by the Dutch scientist willebrord snell. The Law of
http://www.albemarle.cc.nc.us/~aaldridg/mat172/project2.html
THE MATHEMATICS OF RAINBOWS Rainbows, those incredible displays of light and water, will always be a source of wonder and inspiration. From pots-o-gold to bridges for the gods, countless myths and legends have been told to explain rainbows.
In 1621, the basic Law of Refraction was proposed by the Dutch scientist Willebrord Snell . The Law of Refraction and the Law of Reflection provide the keys to the modern explanation for the formation of rainbows. Refraction is the bending of light's path as it passes from one medium into another. When this happens the different wavelengths of light separate. The algebraic expression for Snell's Law looks similar to the Law of Sines , except that the constants no longer refer to the lengths of the sides of a triangle, but instead refer to a " refractive index
You have been asked by your physics professor to make a display on rainbows for the college open house.
Additional Links
The Mathematics of Rainbows
Illustration of Laws of Reflection and Refraction
  • You begin working on the project by brainstorming. Since this is the age of the World Wide Web, you decide to create an interactive display! This gets your adrenaline going. You make a web search to collect some ideas. Your web search generates thousands of sites! You select some of your favorites. At this point you want to make a list of questions that your display might answer. For example, did you ever notice that you generally will see rainbows only in the morning or afternoon? If you were to make a display of a rainbow, how would you do it?
  • 70. Ray Optics,
    willebrord snell discovered the law of refraction which is now termedsnell's law. Let us look at a simple refraction, one where
    http://id.mind.net/~zona/mstm/physics/light/rayOptics/refraction/snellsLaw/snell
    Ray Optics, Snell's Law Refraction Lenses Ray Optics Light ... Home Willebrord Snell discovered the law of refraction which is now termed Snell's law.
    Let us look at a simple refraction, one where a light ray travels from air into water: Conventions in such a diagram work this way:
    • The incident medium, air in this case, is called the first medium, or medium 1.
    • The angle of incidence is named with the Greek letter theta, and, since it is in medium 1, is called theta
    • The refracted medium, water in this case, is called the second medium, or medium 2.
    • The angle of refraction, again named with the Greek letter theta, is called theta
    In the above diagram approximate values for the angles are: theta = 43 degrees theta = 31 degrees Now, if you divide the sine of theta 1 by the sine of theta 2 you get: sin(43 degrees) / sin(31 degrees) = 1.32 In actual practice, using exact values for the angles, you would get: sin(theta ) / sin(theta As it turns out, this ratio is always equal to 1.33 for any angle of incidence and its corresponding angle of refraction. This is our first look at Snell's law. It could be stated this way: For a light ray going from air into water, the sine of the angle of incidence divided by the sine of the angle of refraction is constant, that is, the ratio is always equal to the same value:

    71. Snell's Law Of Refraction
    The law was devised by the Dutch physicist, willebrord snell. 2 1 1 2. back.PAGE TOOL BOX. Send to a friend, Send to a friend. Print now, Print now.
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    HUTCHINSON ENCYCLOPEDIA Snell's law of refraction In optics, the rule that when a ray of light passes from one medium to another, the sine of the angle of incidence divided by the sine of the angle of refraction is equal to the ratio of the indices of refraction in the two media. For a ray passing from medium 1 to medium 2 n n sin i /sin r where n and n are the refractive indices of the two media. The law was devised by the Dutch physicist, Willebrord Snell.
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    72. Les Nouvelles - Des Ondes « Mal Déviées » Font Avancer La Physique  (09/04/
    Translate this page Ces déviations, ou indices de réfraction, ont été les mêmes depuis quele mathématicien willebrord snell les a décrits au 17ième siècle
    http://www.cybersciences.com/Cyber/3.0/N2274.asp
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    73. Snell's Law
    snell's law,, Print this article, (willebrord snellius, 1580–1626,Dutch astronomist and mathematician), see refraction. HJS The
    http://www.amershamhealth.com/medcyclopaedia/Volume I/SNELLS LAW.asp
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    *For Medical Professionals only, registration required Snell's law, (Willebrord Snellius, 1580–1626, Dutch astronomist and mathematician), see refraction
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    74. Daveread.com - Underwater Photography Composition Tools
    willebrord snell was a 16th and 17th-century mathmatician who discovered thephysical law that governs the refraction of light when it crosses from one
    http://www.daveread.com/uw-photo/comp101/tools.html
    About
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    ... Using Strobes Diving with a Camera Special Techniques Evaluating Photographs Homework Camera Maintenance The Digital Photographer Equipment Appendices Recommended Reading Message Board Other Resources News ...
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    Search This Site:
    Tools For Composition
    All right. Enough abstract talk. Underwater photography is all about doing , and I'm not helping you do with all this non-specific stuff. Here are some common tools you can use in your composition. What I mean by "tools" is this: I'm going to list some options of composition that are generally readily available to you on most dives. You can choose to use them, ignore them, or even incorporate several of them in the same photo. They're not listed in any particular order, and the list is certainly not exhaustive. This is just the toolkit of compositional techniques I find most useful, personally.
    Blue Water / Negative Space
    "Negative space" is a photographer's term that just means "space in the picture with nothing going on in it." Usually you see lots of negative space on magazine-cover photographs, because the editors want a place for their headlines & blurbs. But that doesn't mean you can't use negative space in your pictures! Negative space helps define the rest of the image, and helps the subject stand out from the background. Blue water is a common negative space. So is "black water" if you're shooting at night or with an aperture so small that ambient light doesn't expose the film.

    75. II. LA ÓPTICA INSTRUMENTAL
    Translate this page Es interesante saber que fue hasta después de que se construyeron los primerostelescopios, que willebrord snell (1591-1626), (Figura 2), en Leyden, Holanda
    http://lectura.ilce.edu.mx:3000/sites/ciencia/volumen2/ciencia3/084/htm/sec_5.ht

    76. Snellius
    Translate this page willebrord snell van Royen, dit Villebrordus snellius (nom latinisé,une mode de l'époque) fut astronome et géomètre. Il enseigna
    http://www.sciences-en-ligne.com/momo/chronomath/chrono2/Snellius.html
    SNELL van Roijen dit SNELLIUS
    hollandais, 1581-1626
    Huygens de Descartes Snell-Descartes (voire de Snell Kepler
    • Si i et i / sin i est constant.
    Al Haytham (Alhazen) Huygens en donnera une preuve simple en posant comme principe la nature ondulatoire Principe de Fermat :
    • de terrae ambitus vera quantitate , soit : de la vraie valeur du pourtour de la terre

    (du grec terre et daiein diviser
    Cassini deThury
    Delambre n,d c m ... virgule Gunter Mersenne

    77. 32A - HO - Bending Light
    This relation was first discovered by willebrord snell (15911626) and is oftenreferred to as snell’s Law of Refraction. snell’s law is usually written
    http://physics.unl.edu/RPEG_CIP_PROJECT/second/32-Refraction Lenses/32A-HO-Bendi

    78. Snel
    Translate this page willebrord snell VAN ROYEN (LEIDA 1581/91 - 1626). Scienziato olandese,fu successore del padre alla cattedra di matematica dell'università
    http://www.liceorecanati.it/fisica/testi/snell.htm
    WILLEBRORD SNELL VAN ROYEN (LEIDA 1581/91 - 1626)
    Fu anche autore di un celebre trattato di navigazione il Tiphys Batavus
    Torna al testo principale

    79. La Réfraction : Qu’il Est Difficile D’expliquer Un Phénomène Physique
    Translate this page petites. willebrord snell van Royen et René Descartes. snell est petites.willebrord snell van Royen et René Descartes. snell est
    http://perso.club-internet.fr/bdid/physique/2nde/partie1/adocrefraction.htm
    La réfraction : Qu’il est difficile d’expliquer un phénomène physique !! Objectifs : appliquer sur deux exemples les définitions mises en place par le professeur. lire et comprendre un texte. montrer à partir d’une approche historique les errances, les difficultés de compréhension d’un phénomène et de sa mise en équation. Claude Ptolémée Au sujet de ses résultats, Ptolémée s’est livré à des commentaires d’ordre qualitatif. Il a observé que : le rayon incident et le rayon réfracté sont situés dans un plan perpendiculaire à la surface du milieu de réfraction ; les rayons perpendiculaires à la surface ne sont pas réfractés ; l’importance de la réfraction dépend de la densité des milieux. Il a remarqué que si i et i sont deux angles d’incidence et r et r les angles de réfraction correspondants et si i i , on a alors i / i r / r
    Johannes Képler
    Ce savant proposa une relation de proportionnalité entre les angles de réfraction et de réflexion pour des valeurs d’angles petites. Willebrord Snell van Royen et René Descartes Snell est un astronome et mathématicien hollandais qui établit expérimentalement la loi sin i = k sin r, k étant un nombre caractérisant le milieu dans lequel est réfracté le rayon. Cette loi porte le nom de loi de Snell dans les pays anglo-saxons. Descartes publia peu après une démonstration (peu convaincante) de la loi des sinus, laquelle, en France, porte souvent le nom de Descartes.

    80. Snel [Snellius Or Snel Van Royen], Willebrord
    Snel Snellius or Snel van Royen, willebrord. Note the creators of the Galileo Project and vie et les travaux de willebrord Snellius " Archives neerlandaises de sciences exactes
    http://es.rice.edu/ES/humsoc/Galileo/Catalog/Files/snel.html
    Catalog of the Scientific Community
    Snel [Snellius or Snel van Royen], Willebrord
    Note: the creators of the Galileo Project and this catalogue cannot answer email on genealogical questions.
    1. Dates
    Born: Leiden, 1580
    Died: Leiden, 30 Oct 1626
    Dateinfo: Dates Certain
    Lifespan:
    2. Father
    Occupation: Academic
    Professor of Mathematics at Leiden.
    From various evidence clearly prosperous.
    3. Nationality
    Birth: Leiden, Netherlands
    Career: Netherlands
    Death: Leiden, Netherlands
    4. Education
    Schooling: Leiden, M.A.; Paris
    He was the son of a well-to-do father who was himself a considerable scholar and professor of mathematics at the University of Leiden. In 1603 his father was connected with the court of the Landgraf Maurice of Hesse.
    He studied law at the University of Leiden, but became interested in mathematics at an early age. I assume a B.A.
    Already in 1600 he was allowed to offer lectures on mathematics at Leiden on special days.
    1602- Feb. 03, studied law in Paris. I am assuming that this as at the university.
    1608, received an M.A. from Leiden.

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