quadratrixn.

Brit.

/kwɒˈdreɪtrɪks/, U.S.

/kwɑˈdreɪtrɪks/

Inflections: Plural quadratrices.

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

Etymology: < post-classical Latin quadratrix (1591 or earlier) < classical Latin quadrāt- , past participial stem of quadrāre quadrate v. + -trīx -trix suffix. Compare French quadratrice (1693).

Mathematics.

A curve whose ordinate represents the area under another curve; spec. that attributed to Hippias (5th cent. b.c.) in his attempt to trisect an angle, having the formula y = x cot^πx/ _2a (in polar coordinates r = ^2aθ/ _{π sin θ}).

ΘΚΠ

the world > relative properties > number > geometry > curve > [noun] > other

quadratrix1656

section1665

family1705

semiparabola1728

tractrix1728

witcha1760

tractory1820

sinusoid1823

tractatrix1828

indicatrix1841

hodograph1847

tetrazomal1867

space curve1875

horograph1879

hypercycle1889

Peano curve1900

multiple arc1967

unknot1971

fractal1975

analemma1978

1656 tr. T. Hobbes Elements Philos. iii. xx. 233 The ancient Geometricians..who made use of the Quadratrix for the finding out of a straight line equal to the arch of a Circle.

1671 Philos. Trans. (Royal Soc.) 6 2260 Curves commonly known or considered in Geometry (the Conical Sections, Conchoids, Cissoids, Spirals, Quadratrices, &c.).

1728 E. Chambers Cycl. (at cited word) The most eminent of these Quadratrices are that of Dinostrates and that of Mr. Tschirnhausen for the Circle.

1816 tr. S. F. Lacroix Elem. Treat. Differential & Integral Calculus 662 The Quadratrix, a curve formerly celebrated for its apparent connection with the quadrature of the circle.

1898 tr. H. Schubert Math. Essays 124 The solution of the quadrature of the circle founded on the construction of the quadratrix.

1972 M. Kline Math. Thought iii. 40 Draw B″C″ through H′ and let it cut the quadratrix in L.

1988 Math. Mag. 61 159 It is possible, of course, to square the circle if one allows nonalgebraic curves such as Hippias' quadratrix.

2001 Educ. Stud. Math. 48 145 He used them to find the areas under the cycloid and the quadratrix.

This entry has been updated (OED Third Edition, December 2007; most recently modified version published online March 2022).

单词	quadratrix
释义	quadratrixn. Brit. /kwɒˈdreɪtrɪks/, U.S. /kwɑˈdreɪtrɪks/ Inflections: Plural quadratrices. Origin: A borrowing from Latin. Etymon: Latin quadratrix. Etymology: < post-classical Latin quadratrix (1591 or earlier) < classical Latin quadrāt- , past participial stem of quadrāre quadrate v. + -trīx -trix suffix. Compare French quadratrice (1693). Mathematics. A curve whose ordinate represents the area under another curve; spec. that attributed to Hippias (5th cent. b.c.) in his attempt to trisect an angle, having the formula y = x cot^πx/ _2a (in polar coordinates r = ^2aθ/ _{π sin θ}). ΘΚΠ the world > relative properties > number > geometry > curve > [noun] > other quadratrix1656 section1665 family1705 semiparabola1728 tractrix1728 witcha1760 tractory1820 sinusoid1823 tractatrix1828 indicatrix1841 hodograph1847 tetrazomal1867 space curve1875 horograph1879 hypercycle1889 Peano curve1900 multiple arc1967 unknot1971 fractal1975 analemma1978 1656 tr. T. Hobbes Elements Philos. iii. xx. 233 The ancient Geometricians..who made use of the Quadratrix for the finding out of a straight line equal to the arch of a Circle. 1671 Philos. Trans. (Royal Soc.) 6 2260 Curves commonly known or considered in Geometry (the Conical Sections, Conchoids, Cissoids, Spirals, Quadratrices, &c.). 1728 E. Chambers Cycl. (at cited word) The most eminent of these Quadratrices are that of Dinostrates and that of Mr. Tschirnhausen for the Circle. 1816 tr. S. F. Lacroix Elem. Treat. Differential & Integral Calculus 662 The Quadratrix, a curve formerly celebrated for its apparent connection with the quadrature of the circle. 1898 tr. H. Schubert Math. Essays 124 The solution of the quadrature of the circle founded on the construction of the quadratrix. 1972 M. Kline Math. Thought iii. 40 Draw B″C″ through H′ and let it cut the quadratrix in L. 1988 Math. Mag. 61 159 It is possible, of course, to square the circle if one allows nonalgebraic curves such as Hippias' quadratrix. 2001 Educ. Stud. Math. 48 145 He used them to find the areas under the cycloid and the quadratrix. This entry has been updated (OED Third Edition, December 2007; most recently modified version published online March 2022). < n.1656
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