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Algebraic Curves, MATHEMATICA® Animations
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This page exhibits 10 MATHEMATICA® Animations of algebraic curves with nodes and cusp points. A notebook with the animations and source code is available.

Subject:
Mathematics
Algebra
Material Type:
Interactive
Provider:
California State University
Provider Set:
National Curve Bank
Author:
Gray, Shirley
Maeva, Oksana
Area of a Surface of Revolution
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This page discusses calculating areas of surfaces of revolution with animations, formulas, and examples. Special attention is paid to the paradox illustrated by Gabriel's horn or Torricelli's Trumpet.

Subject:
Mathematics
Material Type:
Interactive
Provider:
California State University
Provider Set:
National Curve Bank
Author:
Gray, Shirley
Talman, Lou
Astroid
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The page discusses the curve known as an astroid or hypocycloid of four cusps. In one quadrant, the astroid may be thought of as a falling ladder,a problem often found inintroductory Calculus. In thiscase, the curve is also known as a glissette.

Subject:
Mathematics
Material Type:
Interactive
Provider:
California State University
Provider Set:
National Curve Bank
Author:
Gray, Shirley
The Brachistochrone
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This page contains a discussion of the Brachistochrone problem and an animation showing a particle sliding down a line and a cycloid.There are links to 4 additional pageswith different approaches to the Brachistochrone problem. Interesting historical notes.

Subject:
Mathematics
Material Type:
Interactive
Provider:
California State University
Provider Set:
National Curve Bank
Author:
Gray, Shirley
Qawasmi, Abel
A Collection of Famous Plane Curves created in POVRAY
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This page contains 3-dimensional surfaces ploted in color using POVRAY (Persistence Of Vision RAY tracing). There are links to pages containg the code for the plots and to a page of references and additonal plots.

Subject:
Mathematics
Material Type:
Diagram/Illustration
Provider:
California State University
Provider Set:
National Curve Bank
Author:
Gleason, Patrick J.
Gray, Shirley