Can anyone alive derive these quaternion equations?

[Ben2]

TL;DR

Proofs of Two Equations in Classical Quaternions

If anyone has read Hamilton's Lectures on Quaternions, lines 13 and 15 of Section 563 (p. 566) have successfully resisted my efforts for months. For those interested, I can provide the Latex version. Let me also apologize if this is the wrong forum for the question. Thanks.

 

[fresh_42]

Summary: Proofs of Two Equations in Classical Quaternions

If anyone has read Hamilton's Lectures on Quaternions, lines 13 and 15 of Section 563 (p. 566) have successfully resisted my efforts for months.

If it already took you months, then you should invest of view minutes to describe the situation, rather than hope that anybody who wants to help has this specific book and also wants to look it up for you.

For those interested, I can provide the Latex version. Let me also apologize if this is the wrong forum for the question. Thanks.

... as long as you don't breach copyrights. Whether it is the wrong forum or not, who can tell?

 

[StoneTemplePython]

I feel like we've been here before:

https://www.physicsforums.com/threads/quaternions-and-video-game-design.965166/
same section and page... but from september 2018

 

[Ben2]

Whoops! Had forgotten I'd posted this before. Sorry to have troubled anyone, and thanks again.