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Arithmetical progressionProgression Pro*gres"sion, n. [L. progressio: cf. F.
progression.]
1. The act of moving forward; a proceeding in a course;
motion onward.
2. Course; passage; lapse or process of time.
I hope, in a short progression, you will be wholly
immerged in the delices and joys of religion.
--Evelyn.
3. (Math.) Regular or proportional advance in increase or
decrease of numbers; continued proportion, arithmetical,
geometrical, or harmonic.
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.
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.
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.
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. Geometrical progressionProgression Pro*gres"sion, n. [L. progressio: cf. F.
progression.]
1. The act of moving forward; a proceeding in a course;
motion onward.
2. Course; passage; lapse or process of time.
I hope, in a short progression, you will be wholly
immerged in the delices and joys of religion.
--Evelyn.
3. (Math.) Regular or proportional advance in increase or
decrease of numbers; continued proportion, arithmetical,
geometrical, or harmonic.
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.
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.
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.
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. Harmonic progressionProgression Pro*gres"sion, n. [L. progressio: cf. F.
progression.]
1. The act of moving forward; a proceeding in a course;
motion onward.
2. Course; passage; lapse or process of time.
I hope, in a short progression, you will be wholly
immerged in the delices and joys of religion.
--Evelyn.
3. (Math.) Regular or proportional advance in increase or
decrease of numbers; continued proportion, arithmetical,
geometrical, or harmonic.
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.
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.
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.
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. ImprogressiveImprogressive Im`pro*gress"ive, a.
Not progressive. --De Quincey. -- Im"pro*gress"ive*ly, adv. ImprogressivelyImprogressive Im`pro*gress"ive, a.
Not progressive. --De Quincey. -- Im"pro*gress"ive*ly, adv. ProgressProgress Pro*gress" (?; formerly pronounced like Progress,
n.), v. i. [imp. & p. p. Progressed; p. pr. & vb. n.
Progressing.]
1. To make progress; to move forward in space; to continue
onward in course; to proceed; to advance; to go on; as,
railroads are progressing. ``As his recovery progressed.'
--Thackeray.
Let me wipe off this honorable dew, That silverly
doth progress on thy checks. --Shak.
They progress in that style in proportion as their
pieces are treated with contempt. --Washington.
The war had progressed for some time. --Marshall.
2. To make improvement; to advance. --Bayard.
If man progresses, art must progress too. --Caird. ProgressProgress Prog"ress (?; 277), n. [L. progressus, from progredi,
p. p. progressus, to go forth or forward; pro forward + gradi
to step, go: cf. F. progr[`e]s. See Grade.] ProgressProgress Prog"ress (?; see Progress, v. i.), v. t.
To make progress in; to pass through. [Obs.] --Milton. ProgressedProgress Pro*gress" (?; formerly pronounced like Progress,
n.), v. i. [imp. & p. p. Progressed; p. pr. & vb. n.
Progressing.]
1. To make progress; to move forward in space; to continue
onward in course; to proceed; to advance; to go on; as,
railroads are progressing. ``As his recovery progressed.'
--Thackeray.
Let me wipe off this honorable dew, That silverly
doth progress on thy checks. --Shak.
They progress in that style in proportion as their
pieces are treated with contempt. --Washington.
The war had progressed for some time. --Marshall.
2. To make improvement; to advance. --Bayard.
If man progresses, art must progress too. --Caird. ProgressingProgress Pro*gress" (?; formerly pronounced like Progress,
n.), v. i. [imp. & p. p. Progressed; p. pr. & vb. n.
Progressing.]
1. To make progress; to move forward in space; to continue
onward in course; to proceed; to advance; to go on; as,
railroads are progressing. ``As his recovery progressed.'
--Thackeray.
Let me wipe off this honorable dew, That silverly
doth progress on thy checks. --Shak.
They progress in that style in proportion as their
pieces are treated with contempt. --Washington.
The war had progressed for some time. --Marshall.
2. To make improvement; to advance. --Bayard.
If man progresses, art must progress too. --Caird. ProgressionProgression Pro*gres"sion, n. [L. progressio: cf. F.
progression.]
1. The act of moving forward; a proceeding in a course;
motion onward.
2. Course; passage; lapse or process of time.
I hope, in a short progression, you will be wholly
immerged in the delices and joys of religion.
--Evelyn.
3. (Math.) Regular or proportional advance in increase or
decrease of numbers; continued proportion, arithmetical,
geometrical, or harmonic.
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.
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.
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.
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. Progressional
Progressional Pro*gres"sion*al, a.
Of or pertaining to progression; tending to, or capable of,
progress.
ProgressionistProgressionist Pro*gres"sion*ist, n.
1. One who holds to a belief in the progression of society
toward perfection.
2. One who maintains the doctrine of progression in organic
forms; -- opposed to uniformitarian. --H. Spencer. Progressist
Progressist Prog"ress*ist, n.
One who makes, or holds to, progress; a progressionist.
ProgressiveProgressive Pro*gress"ive, a. [Cf. F. progressif.]
1. Moving forward; proceeding onward; advancing; evincing
progress; increasing; as, progressive motion or course; --
opposed to retrograde.
2. Improving; as, art is in a progressive state.
Progressive euchre or whist, a way of playing at card
parties, by which after every game, the losers at the
first table go to the last table, and the winners at all
the tables, except the first, move up to the next table.
Progressive muscular atrophy (Med.), a nervous disorder
characterized by continuous atrophy of the muscles. --
Pro*gress"ive*ly, adv. -- Pro*gress"ive*ness, n. Progressive euchreProgressive Pro*gress"ive, a. [Cf. F. progressif.]
1. Moving forward; proceeding onward; advancing; evincing
progress; increasing; as, progressive motion or course; --
opposed to retrograde.
2. Improving; as, art is in a progressive state.
Progressive euchre or whist, a way of playing at card
parties, by which after every game, the losers at the
first table go to the last table, and the winners at all
the tables, except the first, move up to the next table.
Progressive muscular atrophy (Med.), a nervous disorder
characterized by continuous atrophy of the muscles. --
Pro*gress"ive*ly, adv. -- Pro*gress"ive*ness, n. Progressive locomotor ataxyLocomotor Lo`co*mo"tor, a. [See Locomotion.]
Of or pertaining to movement or locomotion.
Locomotor ataxia, or Progressive locomotor ataxy (Med.),
a disease of the spinal cord characterized by peculiar
disturbances of gait, and difficulty in co["o]rdinating
voluntary movements. Progressive muscular atrophyProgressive Pro*gress"ive, a. [Cf. F. progressif.]
1. Moving forward; proceeding onward; advancing; evincing
progress; increasing; as, progressive motion or course; --
opposed to retrograde.
2. Improving; as, art is in a progressive state.
Progressive euchre or whist, a way of playing at card
parties, by which after every game, the losers at the
first table go to the last table, and the winners at all
the tables, except the first, move up to the next table.
Progressive muscular atrophy (Med.), a nervous disorder
characterized by continuous atrophy of the muscles. --
Pro*gress"ive*ly, adv. -- Pro*gress"ive*ness, n. ProgressivelyProgressive Pro*gress"ive, a. [Cf. F. progressif.]
1. Moving forward; proceeding onward; advancing; evincing
progress; increasing; as, progressive motion or course; --
opposed to retrograde.
2. Improving; as, art is in a progressive state.
Progressive euchre or whist, a way of playing at card
parties, by which after every game, the losers at the
first table go to the last table, and the winners at all
the tables, except the first, move up to the next table.
Progressive muscular atrophy (Med.), a nervous disorder
characterized by continuous atrophy of the muscles. --
Pro*gress"ive*ly, adv. -- Pro*gress"ive*ness, n. ProgressivenessProgressive Pro*gress"ive, a. [Cf. F. progressif.]
1. Moving forward; proceeding onward; advancing; evincing
progress; increasing; as, progressive motion or course; --
opposed to retrograde.
2. Improving; as, art is in a progressive state.
Progressive euchre or whist, a way of playing at card
parties, by which after every game, the losers at the
first table go to the last table, and the winners at all
the tables, except the first, move up to the next table.
Progressive muscular atrophy (Med.), a nervous disorder
characterized by continuous atrophy of the muscles. --
Pro*gress"ive*ly, adv. -- Pro*gress"ive*ness, n. Ratio of a geometrical progressionRatio Ra"ti*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 of the division of the first by the second; thus,
the ratio of 3 to 6 is expressed by 3/6 or 1/2; of a to b
by a/b; or (less commonly) the second is made the
dividend; as, a:b = b/a.
Note: Some writers consider ratio as the quotient itself,
making ratio equivalent to a number. The term ratio is
also sometimes applied to the difference of two
quantities as well as to their quotient, in which case
the former is called arithmetical ratio, the latter,
geometrical ratio. The name ratio is sometimes given to
the rule of three in arithmetic. See under Rule.
2. Hence, fixed relation of number, quantity, or degree;
rate; proportion; as, the ratio of representation in
Congress.
Compound ratio, Duplicate ratio, Inverse ratio, etc.
See under Compound, Duplicate, etc.
Ratio of a geometrical progression, the constant quantity
by which each term is multiplied to produce the succeeding
one.
