subduplicateadj.

Brit.

/ˌsʌbˈduːplᵻkət/,

/ˌsʌbˈdjuːplᵻkət/,

/ˌsʌbˈdʒuːplᵻkət/, U.S.

/ˌsəbˈd(j)upləkət/

Origin: A borrowing from Latin. Etymon: Latin subduplicatus.

Etymology: < post-classical Latin subduplicatus (1644 or earlier denoting a ratio; 1572 or earlier in sense ‘folded underneath’) < classical Latin sub- sub- prefix + duplicātus duplicate adj. Use in sense 2 results from association with subduple adj.

Mathematics.

1. Designating the proportion or ratio of the square roots of two given quantities.E.g. 2 : 3 is the subduplicate ratio of 4 : 9.

ΘΚΠ

the world > relative properties > number > ratio or proportion > [adjective] > roots

subduplicate1656

subtriplicate1656

sesquiplicate1715

1656 tr. T. Hobbes Elements Philos. ii. xiii. 121 A Proportion is said to be Divided, when between two quantities are interposed one or more Means in continual Proportion, and then the Proportion of the first to the second is said to be Subduplicate of that of the first to the third, and Subtriplicate of that of the first to the fourth.

1670 R. Boyle Some Considerations Usefulnesse Exper. Nat. Philos. ii. iii. 15 The times are in Subduplicate Proportion to the lengths of the Pendulums.

1706 W. Jones Synopsis Palmariorum Matheseos 288 The Times in which a Body runs thro' those Planes, shall be in a Subduplicate Ratio of their Altitudes.

1798 C. Hutton Course Math. II. 358 The bodies descend by nearly uniform velocities, which are directly in the subduplicate ratio of the diameters.

1835 Jrnl. Franklin Inst. 19 56 The velocities of fluids issuing from very small orifices, followed the subduplicate ratio of the pressures.

1883 E. W. Tarn Elem. Treat. Constr. Roofs Wood & Iron (ed. 2) 65 They must be made deeper in the subduplicate proportion of their length.

1918 Trans. Amer. Soc. Civil Engineers 82 1190 It is simply necessary to divide the power ratio by the velocity ratio, that is, by the subduplicate ratio of heads.

2005 U.S. Patent 2005/23299 A1 4/1 The change of the diameter causes the change of the volume at a subduplicate ratio.

†2. = subduple adj. Obsolete.Usually regarded as erroneous.

ΘΚΠ

the world > relative properties > number > ratio or proportion > [adjective] > submultiple > particular

under-doublec1430

under-doubledc1430

subduple1570

subtriple1570

subduplicate1656

subtriplicate1656

1656 T. Hobbes Six Lessons iv. 34 in Elements Philos. It is the same fault when men call half a Quantity Subduplicate.

1755 S. Johnson Dict. Eng. Lang. Subduplicate,..containing one part of two.

1830 Mechanics' Mag. 10 Apr. 84/2 In No. 343, page 3, he tells us, that ‘subduplicate ratio and half the ratio are the same thing.’.. This is giving pretty good proof that he does not understand the magnitudes of ratios.

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

单词	subduplicate
释义	subduplicateadj. Brit. /ˌsʌbˈduːplᵻkət/, /ˌsʌbˈdjuːplᵻkət/, /ˌsʌbˈdʒuːplᵻkət/, U.S. /ˌsəbˈd(j)upləkət/ Origin: A borrowing from Latin. Etymon: Latin subduplicatus. Etymology: < post-classical Latin subduplicatus (1644 or earlier denoting a ratio; 1572 or earlier in sense ‘folded underneath’) < classical Latin sub- sub- prefix + duplicātus duplicate adj. Use in sense 2 results from association with subduple adj. Mathematics. 1. Designating the proportion or ratio of the square roots of two given quantities.E.g. 2 : 3 is the subduplicate ratio of 4 : 9. ΘΚΠ the world > relative properties > number > ratio or proportion > [adjective] > roots subduplicate1656 subtriplicate1656 sesquiplicate1715 1656 tr. T. Hobbes Elements Philos. ii. xiii. 121 A Proportion is said to be Divided, when between two quantities are interposed one or more Means in continual Proportion, and then the Proportion of the first to the second is said to be Subduplicate of that of the first to the third, and Subtriplicate of that of the first to the fourth. 1670 R. Boyle Some Considerations Usefulnesse Exper. Nat. Philos. ii. iii. 15 The times are in Subduplicate Proportion to the lengths of the Pendulums. 1706 W. Jones Synopsis Palmariorum Matheseos 288 The Times in which a Body runs thro' those Planes, shall be in a Subduplicate Ratio of their Altitudes. 1798 C. Hutton Course Math. II. 358 The bodies descend by nearly uniform velocities, which are directly in the subduplicate ratio of the diameters. 1835 Jrnl. Franklin Inst. 19 56 The velocities of fluids issuing from very small orifices, followed the subduplicate ratio of the pressures. 1883 E. W. Tarn Elem. Treat. Constr. Roofs Wood & Iron (ed. 2) 65 They must be made deeper in the subduplicate proportion of their length. 1918 Trans. Amer. Soc. Civil Engineers 82 1190 It is simply necessary to divide the power ratio by the velocity ratio, that is, by the subduplicate ratio of heads. 2005 U.S. Patent 2005/23299 A1 4/1 The change of the diameter causes the change of the volume at a subduplicate ratio. †2. = subduple adj. Obsolete.Usually regarded as erroneous. ΘΚΠ the world > relative properties > number > ratio or proportion > [adjective] > submultiple > particular under-doublec1430 under-doubledc1430 subduple1570 subtriple1570 subduplicate1656 subtriplicate1656 subtriplicate1656 1656 T. Hobbes Six Lessons iv. 34 in Elements Philos. It is the same fault when men call half a Quantity Subduplicate. 1755 S. Johnson Dict. Eng. Lang. Subduplicate,..containing one part of two. 1830 Mechanics' Mag. 10 Apr. 84/2 In No. 343, page 3, he tells us, that ‘subduplicate ratio and half the ratio are the same thing.’.. This is giving pretty good proof that he does not understand the magnitudes of ratios. This entry has been updated (OED Third Edition, June 2012; most recently modified version published online March 2022). < adj.1656
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