quaternion


From The Collaborative International Dictionary of English v.0.48:

Quaternion \Qua*ter"ni*on\, v. t.
   To divide into quaternions, files, or companies. --Milton.
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From The Collaborative International Dictionary of English v.0.48:

Quaternion \Qua*ter"ni*on\, n. [L. quaternio, fr. quaterni four
   each. See Quaternary.]
   1. The number four. [Poetic]
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   2. A set of four parts, things, or person; four things taken
      collectively; a group of four words, phrases,
      circumstances, facts, or the like.
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            Delivered him to four quaternions of soldiers.
                                                  --Acts xii. 4.
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            Ye elements, the eldest birth
            Of Nature's womb, that in quaternion run. --Milton.
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            The triads and quaternions with which he loaded his
            sentences.                            -- Sir W.
                                                  Scott.
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   3. A word of four syllables; a quadrisyllable.
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   4. (Math.) The quotient of two vectors, or of two directed
      right lines in space, considered as depending on four
      geometrical elements, and as expressible by an algebraic
      symbol of quadrinomial form.
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   Note: The science or calculus of quaternions is a new
         mathematical method, in which the conception of a
         quaternion is unfolded and symbolically expressed, and
         is applied to various classes of algebraical,
         geometrical, and physical questions, so as to discover
         theorems, and to arrive at the solution of problems.
         --Sir W. R. Hamilton.
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