Can anyone alive derive these quaternion equations?

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    Derive Quaternion
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Discussion Overview

The discussion centers around the derivation of specific quaternion equations found in Hamilton's Lectures on Quaternions, specifically lines 13 and 15 of Section 563. Participants express challenges in deriving these equations, indicating a focus on theoretical understanding and mathematical reasoning related to quaternions.

Discussion Character

  • Exploratory
  • Mathematical reasoning

Main Points Raised

  • One participant mentions ongoing difficulty in deriving the equations for months and offers to provide a Latex version for clarity.
  • Another participant suggests that a more detailed description of the problem would be beneficial, rather than assuming others have the specific book on hand.
  • A third participant references a previous discussion on a similar topic from September 2018, indicating a potential recurring issue or interest in the subject matter.
  • The original poster acknowledges having posted the question before and expresses regret for any inconvenience caused.

Areas of Agreement / Disagreement

There is no consensus on the derivation of the equations, and the discussion reflects multiple viewpoints regarding the approach to solving the problem. Participants have not reached an agreement on the best way to proceed with the derivation.

Contextual Notes

Participants have not provided specific details about the equations in question or the assumptions underlying their derivations, leaving some aspects of the discussion unresolved.

Ben2
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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.
 
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Ben2 said:
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?
 
Whoops! Had forgotten I'd posted this before. Sorry to have troubled anyone, and thanks again.
 

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