Difference between revisions of "Hippopede of Proclus"
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{{Image Description | {{Image Description | ||
|ImageName=Hippopede of Proclus | |ImageName=Hippopede of Proclus | ||
− | + | |Image=HippopedeOfProc.gif | |
− | |Image= | ||
|ImageIntro=Consider a torus, T, as a surface of revolution, generated by a circle with radius r > 0, and with center at distance R > 0 from the axis... | |ImageIntro=Consider a torus, T, as a surface of revolution, generated by a circle with radius r > 0, and with center at distance R > 0 from the axis... | ||
− | |ImageDesc=Consider a torus, <math>T</math>, as a surface of revolution, generated by a circle with radius <math>r > 0</math>, and with center at distance <math>R > 0</math> from the axis. <math>R</math> is the ''major radius'' of <math>T</math>, and <math>r</math> is the ''minor radius''. Intersecting the torus <math>T</math> with a plane parallel to its axis gives a plane curve, called a "spiric section of Perseus | + | |Pre-K=No |
+ | |Elementary=No | ||
+ | |MiddleSchool=No | ||
+ | |HighSchool=No | ||
+ | |ImageDesc=Consider a torus, <math>T</math>, as a surface of revolution, generated by a circle with radius <math>r > 0</math>, and with center at distance <math>R > 0</math> from the axis. <math>R</math> is the ''major radius'' of <math>T</math>, and <math>r</math> is the ''minor radius''. Intersecting the torus <math>T</math> with a plane parallel to its axis gives a plane curve, called a "spiric section of Perseus." | ||
|AuthorName=Adam Coffman | |AuthorName=Adam Coffman | ||
|AuthorDesc=Adam Coffman is an Associate Professor of Mathematics in the Department of Mathematical Sciences at Indiana University - Purdue University Fort Wayne. | |AuthorDesc=Adam Coffman is an Associate Professor of Mathematics in the Department of Mathematical Sciences at Indiana University - Purdue University Fort Wayne. | ||
− | |SiteName=http://www.ipfw.edu/math/Coffman/images/proc.gif | + | |SiteName=Adam Coffman --- Lemniscates |
− | + | |SiteURL=http://www.ipfw.edu/math/Coffman/images/proc.gif | |
|Field=Topology | |Field=Topology | ||
|FieldLinks=:*[http://en.wikipedia.org/wiki/Hippopede Hippopede from Wikipedia] | |FieldLinks=:*[http://en.wikipedia.org/wiki/Hippopede Hippopede from Wikipedia] | ||
:*[http://mathworld.wolfram.com/Hippopede.html Hippopede from Wolfram MathWorld] | :*[http://mathworld.wolfram.com/Hippopede.html Hippopede from Wolfram MathWorld] | ||
|AuthorLinks=:*http://www.ipfw.edu/math/Coffman | |AuthorLinks=:*http://www.ipfw.edu/math/Coffman | ||
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Latest revision as of 09:20, 10 June 2011
Hippopede of Proclus |
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Hippopede of Proclus
- Consider a torus, T, as a surface of revolution, generated by a circle with radius r > 0, and with center at distance R > 0 from the axis...
Contents
A More Mathematical Explanation
Consider a torus, , as a surface of revolution, generated by a circle [...]
Consider a torus, , as a surface of revolution, generated by a circle with radius , and with center at distance from the axis. is the major radius of , and is the minor radius. Intersecting the torus with a plane parallel to its axis gives a plane curve, called a "spiric section of Perseus."
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About the Creator of this Image
Adam Coffman is an Associate Professor of Mathematics in the Department of Mathematical Sciences at Indiana University - Purdue University Fort Wayne.
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