geometrical progressionn.

Brit.

/ˌdʒiːəˌmɛtrᵻkl prəˈɡrɛʃn/,

/dʒɪəˌmɛtrᵻkl prəˈɡrɛʃn/, U.S.

/ˌdʒiəˌmɛtrək(ə)l prəˈɡrɛʃ(ə)n/,

/ˌdʒiəˌmɛtrək(ə)l proʊˈɡrɛʃ(ə)n/

Forms: see geometrical adj. and n. and progression n.

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

Etymology: < geometrical adj. + progression n., after post-classical Latin progressio geometrica (see geometric progression n.).

Mathematics.

= geometric progression n.

ΘΚΠ

the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > set > sequence > progression

progressionc1450

arithmetical progression1553

geometrical progression1557

geometric progression1696

geometric ratio1736

arithmetical ratio1798

geometrical ratio1798

arithmetic progression1886

harmonic series1964

1543 R. Record Ground of Artes i. sig. N.vii^v Another maner of Progression called Geometricall, when the nombres encrease by a lyke proportion.]

1557 R. Record Whetstone of Witte sig. Gii You can haue no progression Geometricalle, but it must be made either of square nombers, or els of like flattes.

1594 T. Blundeville Exercises i. xiii. f. 17^v I thinke good now to speake somewhat of Arithmeticall and Geometricall progression, and also of Proportion.

a1690 S. Jeake Compl. Body Arithm. (1701) iv. iii. 582 This answereth to..the Second of the five Principals in a Geometrical Progression, and agreeth with the first Theorem.

1708 tr. J. Ozanam Recreations Math. & Physical viii. 30 You see that what Arithmetical Progression has by Addition, Geometrical progression has it by Multiplication.

1812 J. Playfair Outl. Nat. Philos. I. 237 If..the heights from the surface be taken increasing in arithmetical progression, the densities of the strata of air will decrease in geometrical progression.

1901 Blackwood's Edinb. Mag. June 802/1 This manifolding process would augment in something like geometrical progression.

1976 Pop. Mech. Sept. 168/3 Stopping distances don't increase along a straight arithmetical line—they jump startlingly in a geometrical progression.

2005 Toronto Star (Nexis) 22 Oct. g32 Every new Hyundai since has been better, in geometrical progression.

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

单词	geometrical progression
释义	geometrical progressionn. Brit. /ˌdʒiːəˌmɛtrᵻkl prəˈɡrɛʃn/, /dʒɪəˌmɛtrᵻkl prəˈɡrɛʃn/, U.S. /ˌdʒiəˌmɛtrək(ə)l prəˈɡrɛʃ(ə)n/, /ˌdʒiəˌmɛtrək(ə)l proʊˈɡrɛʃ(ə)n/ Forms: see geometrical adj. and n. and progression n. Origin: Formed within English, by compounding; modelled on a Latin lexical item. Etymons: geometrical adj., progression n. Etymology: < geometrical adj. + progression n., after post-classical Latin progressio geometrica (see geometric progression n.). Mathematics. = geometric progression n. ΘΚΠ the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > set > sequence > progression progressionc1450 arithmetical progression1553 geometrical progression1557 geometric progression1696 geometric ratio1736 arithmetical ratio1798 geometrical ratio1798 arithmetic progression1886 harmonic series1964 1543 R. Record Ground of Artes i. sig. N.vii^v Another maner of Progression called Geometricall, when the nombres encrease by a lyke proportion.] 1557 R. Record Whetstone of Witte sig. Gii You can haue no progression Geometricalle, but it must be made either of square nombers, or els of like flattes. 1594 T. Blundeville Exercises i. xiii. f. 17^v I thinke good now to speake somewhat of Arithmeticall and Geometricall progression, and also of Proportion. a1690 S. Jeake Compl. Body Arithm. (1701) iv. iii. 582 This answereth to..the Second of the five Principals in a Geometrical Progression, and agreeth with the first Theorem. 1708 tr. J. Ozanam Recreations Math. & Physical viii. 30 You see that what Arithmetical Progression has by Addition, Geometrical progression has it by Multiplication. 1812 J. Playfair Outl. Nat. Philos. I. 237 If..the heights from the surface be taken increasing in arithmetical progression, the densities of the strata of air will decrease in geometrical progression. 1901 Blackwood's Edinb. Mag. June 802/1 This manifolding process would augment in something like geometrical progression. 1976 Pop. Mech. Sept. 168/3 Stopping distances don't increase along a straight arithmetical line—they jump startlingly in a geometrical progression. 2005 Toronto Star (Nexis) 22 Oct. g32 Every new Hyundai since has been better, in geometrical progression. This entry has been updated (OED Third Edition, March 2012; most recently modified version published online March 2022). < n.1557
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