Dowling geometry: Difference between revisions
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A [[spiric section]] is a special case of a [[toric section]], in which the intersecting [[plane (mathematics)|plane]] is parallel to the rotational symmetry axis of the [[torus]] (σπειρα in ancient Greek). They were discovered by the ancient Greek geometer, [[Perseus (geometer)|Perseus]] in c. [[150 BC]]. Their general mathematical form is [[quartic]] | |||
:<math> | |||
\left( r^{2} - a^{2} + c^{2} + x^{2} + y^{2} \right)^{2} = 4r^{2} \left(x^{2} + c^{2} \right) | |||
</math> | |||
where <math>r</math>, <math>a</math> and <math>c</math> are parameters. | |||
[[Category:Toric sections]] | |||
Latest revision as of 23:05, 17 January 2014
A spiric section is a special case of a toric section, in which the intersecting plane is parallel to the rotational symmetry axis of the torus (σπειρα in ancient Greek). They were discovered by the ancient Greek geometer, Perseus in c. 150 BC. Their general mathematical form is quartic