GNU Collaborative International Dictionary of English

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  1.       
    
    Progression , n. [L. progressio: cf. F. progression.]
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    1. The act of moving forward; a proceeding in a course; motion onward.
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    2. Course; passage; lapse or process of time.
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      I hope, in a short progression, you will be wholly immerged in the delices and joys of religion.
      Evelyn.

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    3. (Math.) Regular or proportional advance in increase or decrease of numbers; continued proportion, arithmetical, geometrical, or harmonic.
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    4. (Mus.) A regular succession of tones or chords; the movement of the parts in harmony; the order of the modulations in a piece from key to key.
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      Arithmetical progression, a progression in which the terms increase or decrease by equal differences, as the numbers 2, 4, 6, 8, 1010, 8, 6, 4, 2 by the difference 2.

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      -- Geometrical progression, a progression in which the terms increase or decrease by equal ratios, as the numbers 2, 4, 8, 16, 32, 6464, 32, 16, 8, 4, 2 by a continual multiplication or division by 2.

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      -- Harmonic progression, a progression in which the terms are the reciprocals of quantities in arithmetical progression, as ½, ¼, ⅙, ⅛, ⅒.

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