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@Arcade

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Cutting a double-cone at different angles (each with a different eccentricity) gives us a circle, ellipse, parabola, or hyperbola.

The eccentricity of a circle is zero.

The eccentricity of an ellipse which is not a circle is greater than zero but less than 1.

The eccentricity of a parabola is 1.

The eccentricity of a hyperbola is greater than 1.

If the eccentricity became infinite, you'd get a flat line. So you can think of eccentricity as how much any conic section deviates from a circle. And any two conic sections are similar if and only if they have the same eccentricity.

From: http://www.maths.adelaide.edu.au/alexander.hanysz/videos/conics_large.shtml

For ellipses and Kepler's Laws in particular, be sure to check out:

https://plus.google.com/+TomEigelsbach/posts/PyXF9bSnuLi

#math #mathematics

The eccentricity of a circle is zero.

The eccentricity of an ellipse which is not a circle is greater than zero but less than 1.

The eccentricity of a parabola is 1.

The eccentricity of a hyperbola is greater than 1.

If the eccentricity became infinite, you'd get a flat line. So you can think of eccentricity as how much any conic section deviates from a circle. And any two conic sections are similar if and only if they have the same eccentricity.

*Nowadays we usually think of "conics" in mathematics as just another name for "quadratic equations". But conic sections were studied in a purely geometric sense, as shapes obtained by cutting through a cone, centuries before modern algebraic notation was invented. This animation shows a plane cutting a double cone at different angles to produce the three types of smooth conic sections—hyperbola, parabola and ellipse—as well as the degenerate conics—a single point or a pair of lines (or, just for an instant, a single line).*From: http://www.maths.adelaide.edu.au/alexander.hanysz/videos/conics_large.shtml

For ellipses and Kepler's Laws in particular, be sure to check out:

https://plus.google.com/+TomEigelsbach/posts/PyXF9bSnuLi

#math #mathematics

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Logo of CompSoc (Computer Science Society of University of Colombo)

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Coffee Dansela by B Sharp

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Coffee Dansela by BSharp

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Randoms (7 photos)

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