Potential realities: Difference between revisions
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[[Potential realities]] are other [[realities]] that can be produced for [[conscious beings]] by making [[coherent sensepath]]s or [[coherent internapath]]s that create realities that exist within [[awarepath]]s other than the one we actually exist in. | [[Potential realities]] are other [[realities]] that can be produced for [[conscious beings]] by making [[coherent sensepath]]s or [[coherent internapath]]s that create realities that exist within [[awarepath]]s other than the one we actually exist in. | ||
Asymptote | |||
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[[File:Conic section hyperbola.gif|thumb|left|Hyperbolas, obtained cutting the same right circular cone with a plane and their asymptotes.]] | |||
The hyperbolas | |||
:<math>\frac{x^2}{a^2}-\frac{y^2}{b^2}=\pm 1</math> | |||
have asymptotes | |||
:<math>y=\pm\frac{b}{a}x.</math> | |||
The equation for the union of these two lines is | |||
:<math>\frac{x^2}{a^2}-\frac{y^2}{b^2}=0.</math> | |||
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Similarly, the [[hyperboloid]]s | |||
:<math>\frac{x^2}{a^2}-\frac{y^2}{b^2}-\frac{z^2}{c^2}=\pm 1</math> | |||
are said to have the ''asymptotic cone''<ref>[http://books.google.com/books?id=YMU0AAAAMAAJ L.P. Siceloff, G. Wentworth, D.E. Smith ''Analytic geometry'' (1922) p. 271]</ref><ref>[http://books.google.com/books?id=fGg4AAAAMAAJ P. Frost ''Solid geometry'' (1875)] This has a more general treatment of asymptotic surfaces.</ref> | |||
:<math>\frac{x^2}{a^2}-\frac{y^2}{b^2}-\frac{z^2}{c^2}=0.</math> | |||
The distance between the hyperboloid and cone approaches 0 as the distance from the origin approaches infinity. | |||
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Revision as of 20:57, 8 January 2013
Potential realities are other realities that can be produced for conscious beings by making coherent sensepaths or coherent internapaths that create realities that exist within awarepaths other than the one we actually exist in.
Asymptote
Template:Col-begin
Template:Col-2
The hyperbolas
have asymptotes
The equation for the union of these two lines is
Template:Col-2 Similarly, the hyperboloids
are said to have the asymptotic cone<ref>L.P. Siceloff, G. Wentworth, D.E. Smith Analytic geometry (1922) p. 271</ref><ref>P. Frost Solid geometry (1875) This has a more general treatment of asymptotic surfaces.</ref>
The distance between the hyperboloid and cone approaches 0 as the distance from the origin approaches infinity. Template:Col-end