An historical note on finite rotations (Record no. 51424)

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control field 20250625160207.0
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Transcribing agency CICY
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Classification number (OCLC) (R) ; Classification number, CALL (RLIN) (NR) B-17261
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245 10 - TITLE STATEMENT
Title An historical note on finite rotations
490 0# - SERIES STATEMENT
Volume/sequential designation Journal of Applied Mechanics, 56(1), p.139-145, 1989
520 3# - SUMMARY, ETC.
Summary, etc. It is shown in this paper that Euler was first to derive the finite rotation formula which is often erroneously attributed to Rodrigues, while Rodrigues was responsible for the derivation of the composition formulae for successive finite rotations and the so-called Euler parameters of finite rotation. Therefore, based upon historical facts, the following nomenclature is suggested: Euler's finite rotation formula, Rodrigues' composition formulae of finite rotations, and Euler-Rodrigues parameters. The text of the paper contains modern symbols and formula forms, while the Appendices contain brief summaries from relevant historical sources with minor alterations in symbols at the most.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element MATHEMATICAL TECHNIQUES - VECTORS
700 12 - ADDED ENTRY--PERSONAL NAME
Personal name Cheng, H.
700 12 - ADDED ENTRY--PERSONAL NAME
Personal name Gupta, K. C.
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Uniform Resource Identifier <a href="https://drive.google.com/file/d/1VZs6yj-iMHkHJSfUGL0xknblLRAhzaPY/view?usp=drive_link">https://drive.google.com/file/d/1VZs6yj-iMHkHJSfUGL0xknblLRAhzaPY/view?usp=drive_link</a>
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