Geometrical progression

Geometrical progression
Progression Pro*gres"sion, n. [L. progressio: cf. F. progression.] [1913 Webster] 1. The act of moving forward; a proceeding in a course; motion onward. [1913 Webster]

2. Course; passage; lapse or process of time. [1913 Webster]

I hope, in a short progression, you will be wholly immerged in the delices and joys of religion. --Evelyn. [1913 Webster]

3. (Math.) Regular or proportional advance in increase or decrease of numbers; continued proportion, arithmetical, geometrical, or harmonic. [1913 Webster]

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. [1913 Webster]

{Arithmetical progression}, a progression in which the terms increase or decrease by equal differences, as the numbers [lbrace2]2, 4, 6, 8, 1010, 8, 6, 4, 2[rbrace2] by the difference 2. [1913 Webster]

{Geometrical progression}, a progression in which the terms increase or decrease by equal ratios, as the numbers [lbrace2]2, 4, 8, 16, 32, 6464, 32, 16, 8, 4, 2[rbrace2] by a continual multiplication or division by 2. [1913 Webster]

{Harmonic progression}, a progression in which the terms are the reciprocals of quantities in arithmetical progression, as 1/2, 1/4, 1/6, 1/8, 1/10. [1913 Webster]


The Collaborative International Dictionary of English. 2000.

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  • Geometrical progression — Geometric Ge o*met ric, Geometrical Ge o*met ric*al, a. [L. geometricus; Gr. ?: cf. F. g[ e]om[ e]trique.] 1. Pertaining to, or according to the rules or principles of, geometry; determined by geometry; as, a geometrical solution of a problem.… …   The Collaborative International Dictionary of English

  • geometrical progression — geometric(al) progression noun A series of quantities each of which has the same ratio to its predecessor • • • Main Entry: ↑geometry * * * geometrical progression, = geometric progression. (Cf. ↑geometric progression) …   Useful english dictionary

  • geometrical progression — noun see geometric progression …   New Collegiate Dictionary

  • geometrical progression — series of numbers in which each number is multiplied by the same factor (Mathematics) …   English contemporary dictionary

  • Ratio of a geometrical progression — Ratio Ra ti*o (r[=a] sh[i^]*[ o] or r[=a] sh[ o]), n. [L., fr. reri, ratus, to reckon, believe, think, judge. See {Reason}.] 1. (Math.) The relation which one quantity or magnitude has to another of the same kind. It is expressed by the quotient… …   The Collaborative International Dictionary of English

  • Progression — Pro*gres sion, n. [L. progressio: cf. F. progression.] [1913 Webster] 1. The act of moving forward; a proceeding in a course; motion onward. [1913 Webster] 2. Course; passage; lapse or process of time. [1913 Webster] I hope, in a short… …   The Collaborative International Dictionary of English

  • Geometrical — Geometric Ge o*met ric, Geometrical Ge o*met ric*al, a. [L. geometricus; Gr. ?: cf. F. g[ e]om[ e]trique.] 1. Pertaining to, or according to the rules or principles of, geometry; determined by geometry; as, a geometrical solution of a problem.… …   The Collaborative International Dictionary of English

  • Geometrical curve — Geometric Ge o*met ric, Geometrical Ge o*met ric*al, a. [L. geometricus; Gr. ?: cf. F. g[ e]om[ e]trique.] 1. Pertaining to, or according to the rules or principles of, geometry; determined by geometry; as, a geometrical solution of a problem.… …   The Collaborative International Dictionary of English

  • Geometrical pace — Geometric Ge o*met ric, Geometrical Ge o*met ric*al, a. [L. geometricus; Gr. ?: cf. F. g[ e]om[ e]trique.] 1. Pertaining to, or according to the rules or principles of, geometry; determined by geometry; as, a geometrical solution of a problem.… …   The Collaborative International Dictionary of English

  • Geometrical plane — Geometric Ge o*met ric, Geometrical Ge o*met ric*al, a. [L. geometricus; Gr. ?: cf. F. g[ e]om[ e]trique.] 1. Pertaining to, or according to the rules or principles of, geometry; determined by geometry; as, a geometrical solution of a problem.… …   The Collaborative International Dictionary of English

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