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Timeline for 3D similarities and quaternions?

Current License: CC BY-SA 4.0

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Jun 8, 2020 at 15:04 vote accept Goulifet
Jun 8, 2020 at 14:42 comment added Adam P. Goucher Yes -- every orientation-preserving similarity is expressible uniquely as an element of SO(n) followed by a scaling followed by a translation.
Jun 8, 2020 at 14:25 comment added Goulifet Is it obvious that we capture all the direct similarities doing so?
Jun 8, 2020 at 13:33 comment added Goulifet That's nice, using the "vector quaternions" for $\mathbb{R}^3$ and then describing the geometric transformations as exposed does the job. Thanks a lot!
Jun 8, 2020 at 9:58 history edited wlad CC BY-SA 4.0
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Jun 8, 2020 at 9:53 history edited wlad CC BY-SA 4.0
added 9 characters in body
Jun 8, 2020 at 9:45 history answered wlad CC BY-SA 4.0