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PROPORTION, n. [L.proportio; pro and portio, part or share. See Portion.] 1. The comparative relation of any one thing to another. Let a man's exertions be in proportion to his strength.2. The identity or similitude of two ratios. Proportion differs from ratio. Ratio is the relation which determines the quantity of one thing from the quantity of another, without the intervention of a third. Thus the ratio of 5 and 10 is 2; the ratio of 8 and 16 is 2. Proportion is the sameness or likeness of two such relations. Thus 5 is to 10, as 8 to 16, or A is to B, as C is to D; that is, 5 bears the same relation to 10, as 8 does to 16. Hence we say, such numbers are in proportion.Proportion, in mathematics, an equality or ratios.The term proportion is sometimes improperly used for ratio. The ratio between two quantities, is expressed by the quotient of one divided by the other; thus, the ratio of 10 to 5 is 2, and the ratio of 16 to 8 is 2. These two equal ratios constitute a proportion, which is expressed by saying, 10 is to 5 as 16 is to 8; or more concisely, 10: 5:: 16: 8. [See Ratio.]3. In arithmetic, a rule by which, when three numbers are given, a fourth number is found, which bears the same relation to the third as the second does to the first; or a fourth number is found, bearing the same relation to the second as the first does to the third. The former is called direct, and the latter, inverse proportion.4. Symmetry; suitable adaptation of one part or thing to another; as the proportion of one limb to another in the human body; the proportion of the length and breadth of a room to its highth. Harmony, with every grace, Place in the fair proportions of her face.5. Equal or just share; as, to ascertain the proportion of profit to which each partner in a company is entitled.6. Form; size. [Little used.]7. The relation between unequal things of the same kind, by which their several parts correspond to each other with an equal augmentation and diminution, as in reducing and enlarging figures.[This more properly belongs to ratio.]Harmonical or musical proportion, is when, of three numbers,the first is to the third as the difference of the first and second to the difference of the second and third. Thus 2.3.6. are in harmonical proportion; for 2 is to 6 as 1 to 3. So also four numbers are harmonical, when the first is to the fourth, as the difference of the first and second is to the difference of the third and fourth. Thus, 24.16.12.9. are harmonical, for 24 : 9 :: 8 : 3. Arithmetical and geometrical proportion. [See Progression, No.4.] Reciprocal proportion, an equality between a direct and a reciprocal ratio. Thus, 4 : 2 :: 1/3 : 1/6. [See Reciprocals, and Reciprocal ratio.] PROPORTION, v.t. To adjust the comparative relation of one thing or one part to another; as, to proportion the size of a building to its highth, or the thickness of a thing to its length; to proportion our expenditures to our income. In the loss of an object, we do not proportion our grief to its real value, but to the value our fancies set upon it.1. To form with symmetry or suitableness, as the parts of the body.
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Evolution (or devolution) of this word [proportion]
1828 Webster | 1844 Webster | 1913 Webster |
PROPORTION, n. [L.proportio; pro and portio, part or share. See Portion.] 1. The comparative relation of any one thing to another. Let a man's exertions be in proportion to his strength.2. The identity or similitude of two ratios. Proportion differs from ratio. Ratio is the relation which determines the quantity of one thing from the quantity of another, without the intervention of a third. Thus the ratio of 5 and 10 is 2; the ratio of 8 and 16 is 2. Proportion is the sameness or likeness of two such relations. Thus 5 is to 10, as 8 to 16, or A is to B, as C is to D; that is, 5 bears the same relation to 10, as 8 does to 16. Hence we say, such numbers are in proportion.Proportion, in mathematics, an equality or ratios.The term proportion is sometimes improperly used for ratio. The ratio between two quantities, is expressed by the quotient of one divided by the other; thus, the ratio of 10 to 5 is 2, and the ratio of 16 to 8 is 2. These two equal ratios constitute a proportion, which is expressed by saying, 10 is to 5 as 16 is to 8; or more concisely, 10: 5:: 16: 8. [See Ratio.]3. In arithmetic, a rule by which, when three numbers are given, a fourth number is found, which bears the same relation to the third as the second does to the first; or a fourth number is found, bearing the same relation to the second as the first does to the third. The former is called direct, and the latter, inverse proportion.4. Symmetry; suitable adaptation of one part or thing to another; as the proportion of one limb to another in the human body; the proportion of the length and breadth of a room to its highth. Harmony, with every grace, Place in the fair proportions of her face.5. Equal or just share; as, to ascertain the proportion of profit to which each partner in a company is entitled.6. Form; size. [Little used.]7. The relation between unequal things of the same kind, by which their several parts correspond to each other with an equal augmentation and diminution, as in reducing and enlarging figures.[This more properly belongs to ratio.]Harmonical or musical proportion, is when, of three numbers,the first is to the third as the difference of the first and second to the difference of the second and third. Thus 2.3.6. are in harmonical proportion; for 2 is to 6 as 1 to 3. So also four numbers are harmonical, when the first is to the fourth, as the difference of the first and second is to the difference of the third and fourth. Thus, 24.16.12.9. are harmonical, for 24 : 9 :: 8 : 3. Arithmetical and geometrical proportion. [See Progression, No.4.] Reciprocal proportion, an equality between a direct and a reciprocal ratio. Thus, 4 : 2 :: 1/3 : 1/6. [See Reciprocals, and Reciprocal ratio.] PROPORTION, v.t. To adjust the comparative relation of one thing or one part to another; as, to proportion the size of a building to its highth, or the thickness of a thing to its length; to proportion our expenditures to our income. In the loss of an object, we do not proportion our grief to its real value, but to the value our fancies set upon it.1. To form with symmetry or suitableness, as the parts of the body. | PRO-POR'TION, n. [L. proportio; pro and portio, part or share. See Portion.]- The comparative relation of any one thing to another. Let a man's exertions be in proportion to his strength.
- The identity or similitude of two ratios. Proportion differs from ratio. Ratio is the relation which determines the quantity of one thing from the quantity of another, without the intervention of a third. Thus the ratio of 5 and 10 is 2: the ratio of 8 and 16 is 2. Proportion is the sameness or likeness of two such relations. Thus 5 is to 10, as 8 to 16, or A. is to B., as C. is to D.; that is, 5 bears the same relation to 10, as 8 does to 16. Hence we say, such numbers are in proportion. – Encyc.
Proportion in mathematics, an equality of ratios. – Day.
The term proportion is sometimes improperly used for ratio. The ratio between two quantities, is expressed by the quotient of one divided by the other: thus, the ratio of 10 to 5 is 2, and the ratio of 16 to 8 is 2. These two equal ratios constitute a proportion, which is expressed by saying, 10 is to 5 as 16 is to 8; or more concisely, 10 : 5 : : 16 : 8. [See Ratio.] – D. Olmsted.
- In arithmetic, a rule by which, when three numbers are given, a fourth number is found, which bears the same relation to the third as the second does to the first; or a fourth number is found, bearing the same relation to the second as the first does to the third. The former is called direct, and the latter, inverse proportion.
- Symmetry; suitable adaptation of one part or thing to another; as, the proportion of one limb to another in the human body; the proportion of the length and breadth of a room to its highth.
Harmony, with every grace, / Plays in the fair proportions of her face. – Mrs. Carter.
- Equal or just share; as, to ascertain the proportion of profit to which each partner in a company is entitled.
- Form; size. [Little used.] – Davies.
- The relation between unequal things of the same kind, by which their several parts correspond to each other with an equal augmentation and diminution, as in reducing and enlarging figures. Encyc. [This more properly belongs to ratio.]
Harmonical or musical proportion, is when, of three numbers, the first is to the third as the difference of the first and second to the difference of the second and third. Thus 2, 3, 6, are in harmonical proportion; for 2 is to 6 as 1 to 3. So also four numbers are harmonical, when the first is to the fourth, as the difference of the first and second is to the difference of the third and fourth. Thus, 24, 16, 12, 9, are harmonical, for 24 : 9 : : 8 : 3. – Encyc.
Arithmetical and geometrical proportion. [See Progression, No. 4.]
Reciprocal proportion, an equality between a direct and a reciprocal ratio. Thus, 4 : 2: : 1/3: 1/6. [See Reciprocals, and Reciprocal ratio.]
PRO-POR'TION, v.t.- To adjust the comparative relation of one thing or one part to another; as, to proportion the size of a building to its highth, or the thickness of a thing to its length; to proportion our expenditures to our income.
In the loss of an object, we do not proportion our grief to its real value, but to the value our fancies set upon it. – Addison.
- To form with symmetry or suitableness, as the parts of the body.
| Pro*por"tion
- The relation or adaptation of one portion
to another, or to the whole, as respect magnitude, quantity, or
degree; comparative relation; ratio; as, the proportion of the
parts of a building, or of the body.
- To adjust in a suitable proportion, as one thing or one part to
another] as, to proportion the size of a building to its
height; to proportion our expenditures to our income.
- Harmonic relation between parts, or between
different things of the same kind; symmetrical arrangement or
adjustment; symmetry; as, to be out of proportion.
- To form with symmetry or suitableness, as
the parts of the body.
- The portion one receives when a whole is
distributed by a rule or principle; equal or proper share;
lot.
- To divide into equal or just shares; to
apportion.
- A part considered comparatively; a
share.
- The
equality or similarity of ratios, especially of geometrical ratios; or
a relation among quantities such that the quotient of the first
divided by the second is equal to that of the third divided by the
fourth; -- called also geometrical proportion, in distinction
from arithmetical proportion, or that in which the difference
of the first and second is equal to the difference of the third and
fourth.
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Proportion PROPORTION, noun [Latin proportio; pro and portio, part or share. See Portion.] 1. The comparative relation of any one thing to another. Let a man's exertions be in proportion to his strength. 2. The identity or similitude of two ratios. proportion differs from ratio. Ratio is the relation which determines the quantity of one thing from the quantity of another, without the intervention of a third. Thus the ratio of 5 and Isaiah 2:1; the ratio of 8 and 16 is 2. proportion is the sameness or likeness of two such relations. Thus 5 is to 10, as 8 to 16, or A is to B, as C is to D; that is, 5 bears the same relation to 10, as 8 does to 16. Hence we say, such numbers are in proportion PROPORTION, in mathematics, an equality or ratios. The term proportion is sometimes improperly used for ratio. The ratio between two quantities, is expressed by the quotient of one divided by the other; thus, the ratio of 10 to 5 is 2, and the ratio of 16 to 8 is 2. These two equal ratios constitute a proportion which is expressed by saying, 10 is to 5 as 16 is to 8; or more concisely, 10:5::16:8. [See Ratio.] 3. In arithmetic, a rule by which, when three numbers are given, a fourth number is found, which bears the same relation to the third as the second does to the first; or a fourth number is found, bearing the same relation to the second as the first does to the third. The former is called direct, and the latter, inverse proportion 4. Symmetry; suitable adaptation of one part or thing to another; as the proportion of one limb to another in the human body; the proportion of the length and breadth of a room to its highth. Harmony, with every grace, Place in the fair proportions of her face. 5. Equal or just share; as, to ascertain the proportion of profit to which each partner in a company is entitled. 6. Form; size. [Little used.] 7. The relation between unequal things of the same kind, by which their several parts correspond to each other with an equal augmentation and diminution, as in reducing and enlarging figures. [This more properly belongs to ratio.] Harmonical or musical proportion is when, of three numbers, the first is to the third as the difference of the first and second to the difference of the second and third. Thus 2.3.6. are in harmonical proportion; for 2 is to 6 as 1 to 3. So also four numbers are harmonical, when the first is to the fourth, as the difference of the first and second is to the difference of the third and fourth. Thus, 24.16.12.9. are harmonical, for 24 :9 ::8 :3. Arithmetical and geometrical proportion [See Progression, No.4.] Reciprocal proportion an equality between a direct and a reciprocal ratio. Thus, 4 :2 ::1/3 :1/6. [See Reciprocals, and Reciprocal ratio.] PROPORTION, verb transitive To adjust the comparative relation of one thing or one part to another; as, to proportion the size of a building to its highth, or the thickness of a thing to its length; to proportion our expenditures to our income. In the loss of an object, we do not proportion our grief to its real value, but to the value our fancies set upon it. 1. To form with symmetry or suitableness, as the parts of the body.
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* As a note, I have purchased each of these products. In fact, as we have been developing the Project:: 1828 Reprint, I have purchased several of the bulky hard-cover dictionaries. My opinion is that the 2000-page hard-cover edition is the only good viable solution at this time. The compact edition was a bit disappointing and the CD-ROM as well. |
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