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If a right circular cone is cut, or intersected, by a plane at different locations, the intersections form a family of plane curves called conic sections (see the figure). ... The paths traveled by the planets, dome-shaped ceilings, and the location of the listening points in a whispering gallery involve the ellipse.
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www.novelguide.com/a/discover/mmat_01/mmat_01_00072.htm...
www.novelguide.com/a/discover/mmat_01/mmat_01_00072.html
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Facts about whispering chamber: application of conic sections, - ...French engineer Girard Desargues initiated the study of those properties of conics that are invariant under projections (see projective geometry). ... Eighteenth-century architects created a fad for whispering galleries—such as in the U.S. Capital and in...
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www.britannica.com/facts/5/828414/whispering-chamber-as...
www.britannica.com/facts/5/828414/whispering-chamber-as-discussed-in-conic-section-geometry
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Aspects of the topic whispering-chamber are discussed in the following places at Britannica. ... application of conic sections ( in conic section (geometry): Post-Greek applications )
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www.britannica.com/EBchecked/topic/641940/whispering-ch...
www.britannica.com/EBchecked/topic/641940/whispering-chamber
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James A. Sellers ... Next: Section 0. Preface and Acknowledgements; ... Historical View of the Conic Sections...
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www.krellinst.org/uces/archive/resources/conics/
www.krellinst.org/uces/archive/resources/conics/
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We shall first look at the four loci: circle, ellipse, hyperbola, and parabola, known as non-degenerate conic sections from a geometric perspective. ... 20.) whispering gallery...
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jwilson.coe.uga.edu/emt669/Student.Folders/Jones.June/c...
jwilson.coe.uga.edu/emt669/Student.Folders/Jones.June/conics/conics.html
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Yes, whispering galleries are indeed very closely related to ellipses. One way to see the connection is to draw an ellipse the old-fashioned way, using a pair of pins, a loop of string, and a pencil. Look up this technique in any basic geometry book, or look at the following URLs:
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www.madsci.org/posts/archives/may2000/959782388.Ph.r.ht...
www.madsci.org/posts/archives/may2000/959782388.Ph.r.html
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The Conic Sections ... There are many applications of the conic sections. Here are a few, arranged by the section involved. ... Whispering galleries, such as the old Senate chamber in DC.
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www.dean.usma.edu/math/people/rickey/class/conics.html
www.dean.usma.edu/math/people/rickey/class/conics.html
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This property is exploited in "Whispering Galleries" where 2 people stand at the foci of an arbitrarily large elliptical room and can clearly hear each other whispering ... Category: Conic Sections...
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en.wikibooks.org/wiki/Conic_Sections/Ellipse
en.wikibooks.org/wiki/Conic_Sections/Ellipse
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Standing at one end of an elliptical room, you suddenly hear your mother, who is standing at the other end of the room, whispering a secret about you to your friend. ... What you are witnessing is the reflective properties of conic sections. Remember, you are standing in a room shaped like an ellipse. If light or sound waves...
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www.teachervision.fen.com/math/resource/5980.html
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