trigonaladj.n.

/ˈtrɪɡənəl/

Etymology: < Latin trigōnālis, < trigōnum : see trigon n. and -al suffix¹.

A. adj.

a. Of, pertaining or relating to, a trigon or triangle; of the form of a triangle, having three angles, triangular. (In quot. 1570 = triangular adj. 2b) trigonal co-ordinates (Geometry), a system of co-ordinates related in a particular way to trilinear co-ordinates, invented by S. Levi in 1876.

ΘΚΠ

the world > relative properties > number > geometry > shape or figure > [adjective] > two-dimensional > triangular

triangle1474

triangled1486

triangular?1541

trigonal1570

trilater1570

triangulated1610

triangulate1611

triform1621

triangulary1622

triquetrous1658

trilateral1660

trilineal1715

trilinear1715

trigonic1788

trigonate1815

triagonal1831

1570 H. Billingsley tr. Euclid Elements Geom. vii. f. 185^v 6 in diuers respectes is a lineall number..and also a trigonall or trianguler number.

1571 T. Digges in L. Digges's Geom. Pract.: Pantometria Defs. sig. T j ^v When any equiangle triangle..is..described within a circle..[its] sides are called the trigonal..Cordes of that circle.

1849 E. A. Freeman Hist. Archit. ii. v. 170 A fine lofty pile, with..three trigonalapses.

1891 Cent. Dict. (at cited word) A linear equation in trigonal coördinates of the first class represents a cubic [curve].

b. Geometry and Crystallography. Applied to a solid figure with triangular faces, or having some other relation to a triangle. Also, Having a relation to three angles: as trigonal quoin, a solid angle contained by three plane angles; trigonal symmetry, the symmetry of a figure or body which coincides with its original position after rotation about an axis through an angle of 120° or 240°.

ΘΚΠ

the world > matter > chemistry > crystallography (general) > crystal (general) > specific crystal forms > [adjective] > miscellaneous others

secondary1816

trapezian1816

triacontahedral1816

tri-dodecahedral1816

tri-hexahedral1816

tri-octahedral1816

tri-rhomboidal1816

octodecimal1817

octoduodecimal1817

octosexdecimal1817

pentahexahedral1817

octahedrala1824

trigonal1878

pinacoidal1879

tetartopyramid1891

trisoctahedral1891

tetartohexagonal1895

tetartosystematic1895

the world > matter > chemistry > crystallography (general) > crystal (general) > crystal symmetry > [noun] > types of

orthosymmetry1878

trigonal symmetry1878

holosymmetry1895

tetartosymmetry1895

self-coincidence1904

the world > matter > chemistry > crystallography (general) > crystal (general) > crystal symmetry > [noun] > angle types

trigonal quoin1878

the world > relative properties > number > geometry > shape or figure > [adjective] > three-dimensional > having faces of particular shape

trapezoidal1794

trapezoidiform1826

rhombohedric1830

pentagonal1837

trapezohedral1849

trigonal1878

1878 H. P. Gurney Crystallogr. 38 If three symmetral planes and no more intersect in the same straight line, it is called an axis of trigonal symmetry.

1891 Cent. Dict. at Trisoctahedron The trigonal trisoctahedron has each face an isosceles triangle.

1895 N. Story-Maskelyne Crystallogr. iv. §79. 98 A plane figure may..be symmetrical with regard to a point within it as a pole of symmetry... Where n = 2, or = 3, 4, or 6, the symmetry may be defined as being diagonal, trigonal, tetragonal, or hexagonal.

1895 N. Story-Maskelyne Crystallogr. vii. §180. 211 The trigonal dodecahedron,..a tetrahedron with a three-faced pyramid on each of its faces.

1895 N. Story-Maskelyne Crystallogr. vii. §257. 302 The trigonal trapezohedron..has trapezoids for its faces, which meet in two trigonal quoins.

c. Chemistry. Characterized by three orbitals lying in a plane and directed to the corners of an equilateral triangle.

ΘΚΠ

the world > matter > chemistry > atomic chemistry > [adjective] > relating to orbitals

hybrid1939

trigonal1939

stereoelectronic1956

streamer1966

1939 L. Pauling Nature Chem. Bond Index 429/2 Trigonal bond orbitals.

1961 A. Streitwieser Molecular Orbital Theory i. 20 Linear combinations of s- and two of the p-orbitals result in three trigonal sp²-orbitals.

1979 B. M. Gimarc Molecular Struct. & Bonding iv. 79 These complexes are mainly trigonal bipyramidal..in structure with the bonds to the axial ligands..being slightly longer than those to the equatorial ligands.

2. Triangular in section, triquetrous: now esp. in Zoology and Botany.

ΘΚΠ

the world > space > shape > angularity > specific angular shape > [adjective] > triangular

three-corneredc1400

three-squaredc1400

three-squarec1450

triangle1474

triangled1486

triangular?1541

three-corner1548

trilater1570

trigonal1571

three-corned1584

three-sided1601

triangulated1610

triangulate1611

triform1621

triangulary1622

triquetrous1658

trilateral1660

triagonal1665

trigonic1788

cocked hat1846

heater-shaped1847

the world > space > shape > angularity > specific angular shape > [adjective] > triangular > pyramidal or triangular in section

pyramidalc1450

trigonal1571

pyramidate1572

pyramidical1599

pyramidy1627

pyramical1633

triangular1644

pyramidated1745

triquetrous1752

trihedral angle1789

pyramoidal1883

the world > relative properties > number > geometry > shape or figure > [adjective] > three-dimensional > with particular section or base > triangular

trigonal1571

trihedral angle1789

triquadrantal1896

the world > life > biology > physical aspects or shapes > shape > [adjective] > triangular or three-sided

triquetral1646

trigonala1728

triquetrous1752

trigonate1815

obtrigonate1819

trigonous1821

trigonoidal1822

obtriangular1826

obtrigonal1856

1571 T. Digges in L. Digges's Geom. Pract.: Pantometria xi. sig. Y iij ^v The solide of Tetraedron may..be parted into 4 equal Trigonal Pyramides.

a1728 J. Woodward Attempt Nat. Hist. Fossils Eng. (1729) i. 158 Spar of a yellow Hue, shot into numerous trigonal pointed Shoots.

1753 Chambers's Cycl. Suppl. at Leaf Trigonal Leaf, one much like the triquetrous, only that..the several faces are each hollowed in form of channels.

1753 Chambers's Cycl. Suppl. at Leaf Lilium, the lilly..The pistil..finally becomes an oblong and trigonal fruit.

1854 S. P. Woodward Man. Mollusca ii. 225 Shell impunctate, oblong, or trigonal.

1895 W. M. Macpherson Ch. & Priory Monymusk v. 76 A plain roundheaded door with a trigonal hood.

3. Astrology. Relating to, or of the nature of, a trigon (in either sense): see trigon n. 2.

ΘΚΠ

the world > the universe > planet > position of planet > aspect > [adjective] > trine

trine1477

trinal1561

trient1563

trigonal1603

trigonical1644

1603 C. Heydon Def. Iudiciall Astrol. xxi. 470 All trigonall aspects doe accord.

1635 J. Swan Speculum Mundi v. §2. 111 The Trigonall revolution and transmutation of the Planets [cf. trigon n. 2].

†4. Of or pertaining to a trigon (trigon n. 3a). Also as n., short for trigonal instrument. Obsolete. rare.

ΘΚΠ

the world > the universe > cosmology > science of observation > astronomical instruments > used in dialling > [noun]

trigonal1593

incliner1610

plane1669

trigon1704

1593 T. Fale Horologiographia f. 39 Your Diall being made, and the Stile placed therein: take your Trigonall Instrument, and set it upon the Stile, so that the whole Diameter thereof may stand plaine upon the edge or upper part, the centre A, of your Instrument... Then fasten a thread at the uppermost end of your Trigonall in every line of the signes so y^t you may direct downeward by the centre A, to the plat of your Diall: and..then moving the Trigonall on the right hand, so that the thread may be stretched on the left hand, make there likewise a prick upon the plat.

B. n.

1. See A. 4.

2. Anatomy. = trigone n., trigonum n. 2 ( Cent. Dict.).

ΚΠ

1891 Cent. Dict.

Derivatives

ˈtrigonally adv. (a) triangularly (rare); (b) Chemistry in a trigonal manner.Sense (a) is apparently only attested in dictionaries or glossaries.

ΚΠ

1962 P. J. Durrant & B. Durrant Introd. Adv. Inorg. Chem. xviii. 590 (heading) Compounds in which the carbon atom is trigonally hybridised.

1982 Nature 25 Feb. 658/1 The borates, where trigonally and tetrahedrally bonded atoms may occur.

This entry has not yet been fully updated (first published 1914; most recently modified version published online December 2021).

单词	trigonal
释义	trigonaladj.n. /ˈtrɪɡənəl/ Etymology: < Latin trigōnālis, < trigōnum : see trigon n. and -al suffix¹. A. adj. 1. a. Of, pertaining or relating to, a trigon or triangle; of the form of a triangle, having three angles, triangular. (In quot. 1570 = triangular adj. 2b) trigonal co-ordinates (Geometry), a system of co-ordinates related in a particular way to trilinear co-ordinates, invented by S. Levi in 1876. ΘΚΠ the world > relative properties > number > geometry > shape or figure > [adjective] > two-dimensional > triangular triangle1474 triangled1486 triangular?1541 trigonal1570 trilater1570 triangulated1610 triangulate1611 triform1621 triangulary1622 triquetrous1658 trilateral1660 trilineal1715 trilinear1715 trigonic1788 trigonate1815 triagonal1831 1570 H. Billingsley tr. Euclid Elements Geom. vii. f. 185^v 6 in diuers respectes is a lineall number..and also a trigonall or trianguler number. 1571 T. Digges in L. Digges's Geom. Pract.: Pantometria Defs. sig. T j ^v When any equiangle triangle..is..described within a circle..[its] sides are called the trigonal..Cordes of that circle. 1849 E. A. Freeman Hist. Archit. ii. v. 170 A fine lofty pile, with..three trigonalapses. 1891 Cent. Dict. (at cited word) A linear equation in trigonal coördinates of the first class represents a cubic [curve]. b. Geometry and Crystallography. Applied to a solid figure with triangular faces, or having some other relation to a triangle. Also, Having a relation to three angles: as trigonal quoin, a solid angle contained by three plane angles; trigonal symmetry, the symmetry of a figure or body which coincides with its original position after rotation about an axis through an angle of 120° or 240°. ΘΚΠ the world > matter > chemistry > crystallography (general) > crystal (general) > specific crystal forms > [adjective] > miscellaneous others secondary1816 trapezian1816 triacontahedral1816 tri-dodecahedral1816 tri-hexahedral1816 tri-octahedral1816 tri-rhomboidal1816 octodecimal1817 octoduodecimal1817 octosexdecimal1817 pentahexahedral1817 octahedrala1824 trigonal1878 pinacoidal1879 tetartopyramid1891 trisoctahedral1891 tetartohexagonal1895 tetartosystematic1895 the world > matter > chemistry > crystallography (general) > crystal (general) > crystal symmetry > [noun] > types of orthosymmetry1878 trigonal symmetry1878 holosymmetry1895 tetartosymmetry1895 self-coincidence1904 the world > matter > chemistry > crystallography (general) > crystal (general) > crystal symmetry > [noun] > angle types trigonal quoin1878 the world > relative properties > number > geometry > shape or figure > [adjective] > three-dimensional > having faces of particular shape trapezoidal1794 trapezoidiform1826 rhombohedric1830 pentagonal1837 trapezohedral1849 trigonal1878 1878 H. P. Gurney Crystallogr. 38 If three symmetral planes and no more intersect in the same straight line, it is called an axis of trigonal symmetry. 1891 Cent. Dict. at Trisoctahedron The trigonal trisoctahedron has each face an isosceles triangle. 1895 N. Story-Maskelyne Crystallogr. iv. §79. 98 A plane figure may..be symmetrical with regard to a point within it as a pole of symmetry... Where n = 2, or = 3, 4, or 6, the symmetry may be defined as being diagonal, trigonal, tetragonal, or hexagonal. 1895 N. Story-Maskelyne Crystallogr. vii. §180. 211 The trigonal dodecahedron,..a tetrahedron with a three-faced pyramid on each of its faces. 1895 N. Story-Maskelyne Crystallogr. vii. §257. 302 The trigonal trapezohedron..has trapezoids for its faces, which meet in two trigonal quoins. c. Chemistry. Characterized by three orbitals lying in a plane and directed to the corners of an equilateral triangle. ΘΚΠ the world > matter > chemistry > atomic chemistry > [adjective] > relating to orbitals hybrid1939 trigonal1939 stereoelectronic1956 streamer1966 1939 L. Pauling Nature Chem. Bond Index 429/2 Trigonal bond orbitals. 1961 A. Streitwieser Molecular Orbital Theory i. 20 Linear combinations of s- and two of the p-orbitals result in three trigonal sp²-orbitals. 1979 B. M. Gimarc Molecular Struct. & Bonding iv. 79 These complexes are mainly trigonal bipyramidal..in structure with the bonds to the axial ligands..being slightly longer than those to the equatorial ligands. 2. Triangular in section, triquetrous: now esp. in Zoology and Botany. ΘΚΠ the world > space > shape > angularity > specific angular shape > [adjective] > triangular three-corneredc1400 three-squaredc1400 three-squarec1450 triangle1474 triangled1486 triangular?1541 three-corner1548 trilater1570 trigonal1571 three-corned1584 three-sided1601 triangulated1610 triangulate1611 triform1621 triangulary1622 triquetrous1658 trilateral1660 triagonal1665 trigonic1788 cocked hat1846 heater-shaped1847 the world > space > shape > angularity > specific angular shape > [adjective] > triangular > pyramidal or triangular in section pyramidalc1450 trigonal1571 pyramidate1572 pyramidical1599 pyramidy1627 pyramical1633 triangular1644 pyramidated1745 triquetrous1752 trihedral angle1789 pyramoidal1883 the world > relative properties > number > geometry > shape or figure > [adjective] > three-dimensional > with particular section or base > triangular trigonal1571 trihedral angle1789 triquadrantal1896 the world > life > biology > physical aspects or shapes > shape > [adjective] > triangular or three-sided triquetral1646 trigonala1728 triquetrous1752 trigonate1815 obtrigonate1819 trigonous1821 trigonoidal1822 obtriangular1826 obtrigonal1856 1571 T. Digges in L. Digges's Geom. Pract.: Pantometria xi. sig. Y iij ^v The solide of Tetraedron may..be parted into 4 equal Trigonal Pyramides. a1728 J. Woodward Attempt Nat. Hist. Fossils Eng. (1729) i. 158 Spar of a yellow Hue, shot into numerous trigonal pointed Shoots. 1753 Chambers's Cycl. Suppl. at Leaf Trigonal Leaf, one much like the triquetrous, only that..the several faces are each hollowed in form of channels. 1753 Chambers's Cycl. Suppl. at Leaf Lilium, the lilly..The pistil..finally becomes an oblong and trigonal fruit. 1854 S. P. Woodward Man. Mollusca ii. 225 Shell impunctate, oblong, or trigonal. 1895 W. M. Macpherson Ch. & Priory Monymusk v. 76 A plain roundheaded door with a trigonal hood. 3. Astrology. Relating to, or of the nature of, a trigon (in either sense): see trigon n. 2. ΘΚΠ the world > the universe > planet > position of planet > aspect > [adjective] > trine trine1477 trinal1561 trient1563 trigonal1603 trigonical1644 1603 C. Heydon Def. Iudiciall Astrol. xxi. 470 All trigonall aspects doe accord. 1635 J. Swan Speculum Mundi v. §2. 111 The Trigonall revolution and transmutation of the Planets [cf. trigon n. 2]. †4. Of or pertaining to a trigon (trigon n. 3a). Also as n., short for trigonal instrument. Obsolete. rare. ΘΚΠ the world > the universe > cosmology > science of observation > astronomical instruments > used in dialling > [noun] trigonal1593 incliner1610 plane1669 trigon1704 1593 T. Fale Horologiographia f. 39 Your Diall being made, and the Stile placed therein: take your Trigonall Instrument, and set it upon the Stile, so that the whole Diameter thereof may stand plaine upon the edge or upper part, the centre A, of your Instrument... Then fasten a thread at the uppermost end of your Trigonall in every line of the signes so y^t you may direct downeward by the centre A, to the plat of your Diall: and..then moving the Trigonall on the right hand, so that the thread may be stretched on the left hand, make there likewise a prick upon the plat. B. n. 1. See A. 4. 2. Anatomy. = trigone n., trigonum n. 2 ( Cent. Dict.). ΚΠ 1891 Cent. Dict. Derivatives ˈtrigonally adv. (a) triangularly (rare); (b) Chemistry in a trigonal manner.Sense (a) is apparently only attested in dictionaries or glossaries. ΚΠ 1962 P. J. Durrant & B. Durrant Introd. Adv. Inorg. Chem. xviii. 590 (heading) Compounds in which the carbon atom is trigonally hybridised. 1982 Nature 25 Feb. 658/1 The borates, where trigonally and tetrahedrally bonded atoms may occur. This entry has not yet been fully updated (first published 1914; most recently modified version published online December 2021). < adj.n.1570
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