File:Spacelike and Timelike Invariant Hyperbolas.png

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Summary

Description	English: In the spacetime diagram on the left, the magenta hyperbolae connect events of equal spacelike separation from the origin, while the green hyperbolae connect events of equal timelike separation from the origin. When viewed with an extra dimension of space, these respectively generate hyperboloids of one sheet and two sheets. Note a confusing point of nomenclature: The magenta hyperbolae, which cross the x axis and represent loci of points separated by constant spacelike distances from the origin, are termed "timelike" (not spacelike) hyperbolae because all intervals along the hyperbola are timelike intervals. Likewise the green hyperbolae, which cross the ct axis, are termed "spacelike" hyperbolae because all intervals along the hyperbolae are spacelike intervals.
Date	5 April 2017
Source	Own work, a montage of File:Hyperboloid1.png and File:Hyperboloid2.png by User:RokerHRO with my own computer-generated graphics.
Author	Stigmatella aurantiaca combined with illustrations by User:RokerHRO

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	Date/Time	Dimensions	User	Comment
current	21:35, 28 May 2017	900 × 600 (83 KB)	Stigmatella aurantiaca	Confusing point of nomenclature
	02:33, 27 April 2017	900 × 600 (83 KB)	Stigmatella aurantiaca	Added letters and swapped sides
	02:38, 6 April 2017	900 × 600 (83 KB)	Stigmatella aurantiaca	User created page with UploadWizard

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Horizontal resolution	37.8 dpc
Vertical resolution	37.8 dpc