geometrical proportionn.

Brit.

/ˌdʒiːəmɛtrᵻkl prəˈpɔːʃn/,

/dʒɪəˌmɛtrᵻkl prəˈpɔːʃn/, U.S.

/ˌdʒiəˌmɛtrək(ə)l prəˈpɔrʃən/

Origin: Formed within English, by compounding; modelled on a Latin lexical item. Etymons: geometrical adj., proportion n.

Etymology: < geometrical adj. + proportion n., after post-classical Latin proportio geometrica (1539 in the passage translated in quot. ?1550), itself after ancient Greek ἀναλογία γεωμετρική.

Mathematics.

A relationship between pairs of quantities in which the ratio between the first pair is the same as that between the second, i.e. a : b :: c : d (‘a is to b as c is to d’); the relationship between the quantities in a geometric progression. Contrasted with arithmetical proportion.Now usually called simply proportion (proportion n. 9a).

ΚΠ

?1550 J. Goodale tr. P. Melanchthon Ciuile Nosgay sig. B.i Iustice distributine is an ordenaunce of persons in euery lyfe publike & priuate according to a geometrical proporcion [L. proportionem geometricam].

1605 F. Bacon Of Aduancem. Learning ii. sig. Ff^v And is there not a true coincidence betweene commutatiue and distributiue Iustice, and Arithmeticall and Geometricall proportion ?

1721 A. Malcolm Treat. Musick v. 157 If betwixt the Extremes of the Octave we put Two Means, one arithmetical and one harmonical, the Four Numbers shall be in geometrical Proportion.

1812 R. Adrain Hutton's Course Math. I. 116 When four quantities are in geometrical proportion, the product of the two extremes is equal to the product of the two means.

1858 Times 11 Feb. 9/6 For each piastre which they would have to sacrifice at this moment to regulate their finances they will have to give two next year, and so on in geometrical proportion.

1917 C. K. Ogden Uncontrolled Breeding 46 There is a constant tendency in animals and plants to increase in geometrical proportion, e.g., as 2, 4, 8, 16, etc.

2002 M. K. Wilson tr. K. Lorenz On Aggression viii. 136 The attraction exercised by the herd over the individual or over smaller groups of individuals increases with the size of the herd, probably in geometrical proportion.

This entry has been updated (OED Third Edition, March 2012; most recently modified version published online March 2022).

单词	geometrical proportion
释义	geometrical proportionn. Brit. /ˌdʒiːəmɛtrᵻkl prəˈpɔːʃn/, /dʒɪəˌmɛtrᵻkl prəˈpɔːʃn/, U.S. /ˌdʒiəˌmɛtrək(ə)l prəˈpɔrʃən/ Origin: Formed within English, by compounding; modelled on a Latin lexical item. Etymons: geometrical adj., proportion n. Etymology: < geometrical adj. + proportion n., after post-classical Latin proportio geometrica (1539 in the passage translated in quot. ?1550), itself after ancient Greek ἀναλογία γεωμετρική. Mathematics. A relationship between pairs of quantities in which the ratio between the first pair is the same as that between the second, i.e. a : b :: c : d (‘a is to b as c is to d’); the relationship between the quantities in a geometric progression. Contrasted with arithmetical proportion.Now usually called simply proportion (proportion n. 9a). ΚΠ ?1550 J. Goodale tr. P. Melanchthon Ciuile Nosgay sig. B.i Iustice distributine is an ordenaunce of persons in euery lyfe publike & priuate according to a geometrical proporcion [L. proportionem geometricam]. 1605 F. Bacon Of Aduancem. Learning ii. sig. Ff^v And is there not a true coincidence betweene commutatiue and distributiue Iustice, and Arithmeticall and Geometricall proportion ? View more context for this quotation 1721 A. Malcolm Treat. Musick v. 157 If betwixt the Extremes of the Octave we put Two Means, one arithmetical and one harmonical, the Four Numbers shall be in geometrical Proportion. 1812 R. Adrain Hutton's Course Math. I. 116 When four quantities are in geometrical proportion, the product of the two extremes is equal to the product of the two means. 1858 Times 11 Feb. 9/6 For each piastre which they would have to sacrifice at this moment to regulate their finances they will have to give two next year, and so on in geometrical proportion. 1917 C. K. Ogden Uncontrolled Breeding 46 There is a constant tendency in animals and plants to increase in geometrical proportion, e.g., as 2, 4, 8, 16, etc. 2002 M. K. Wilson tr. K. Lorenz On Aggression viii. 136 The attraction exercised by the herd over the individual or over smaller groups of individuals increases with the size of the herd, probably in geometrical proportion. This entry has been updated (OED Third Edition, March 2012; most recently modified version published online March 2022). < n.?1550
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