trigon

Definitions

  • WordNet 3.6
    • n trigon a triangular lyre of ancient Greece and Rome
    • n trigon (astrology) one of four groups of the zodiac where each group consists of three signs separated from each other by 120 degrees
    • n trigon a three-sided polygon
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Webster's Revised Unabridged Dictionary
    • Trigon (Astrol) A division consisting of three signs.
    • Trigon A figure having three angles; a triangle.
    • Trigon (Gr. & Rom. Antiq) A kind of game at ball played by three persons standing at the angular points of a triangle.
    • Trigon (Gr. & Rom. Antiq) A kind of triangular lyre or harp.
    • Trigon (Zoöl) The cutting region of the crown of an upper molar, usually the anterior part. That of a lower molar is the Tri"go*nid.
    • Trigon (Astrol) Trine, an aspect of two planets distant 120 degrees from each other.
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Century Dictionary and Cyclopedia
    • n trigon The prominent anterior portion of an upper molar tooth forming a triangular area at whose angles are the three principal cusps —the protocone, paracone, and metacone. The study of the Mesozoic mammals has left no doubt that the upper and lower triangles, or ‘trigon’ and ‘trigonid,’ were derived from the reptilian protocone by the addition of lateral cusps. See cut under tooth, 1.
    • n trigon An abbreviation of trigonometrical; of trigonometry.
    • n trigon A triangle.
    • n trigon In astrology: The junction of three signs, the zodiac being divided into four trigons: the watery trigon, which includes Cancer, Scorpio, and Pisces; the earthly trigon, Taurus, Virgo, and Capricornus; the airy trigon, Gemini, Libra, and Aquarius; and the fiery trigon, Aries, Leo, and Sagittarius.
    • n trigon Trine: an aspect of two planets distant 120 degrees from each other.
    • n trigon In antiquity: A kind of triangular lyre or harp. Also called trigonon.
    • n trigon A game at ball played by three persons standing so as to be at the angles of a triangle.
    • n trigon An instrument of a triangular form, used in dialing.
    • n trigon In conchology, a shell of the genus Trigonia.
    • n trigon A trig; a skid.
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Chambers's Twentieth Century Dictionary
    • n Trigon trī′gon a three-cornered figure, a triangle—also Trigō′non:
    • n Trigon trī′gon (astrol.) the junction of three signs, the zodiac being divided into four trigons—the first or watery trigon, Cancer, Scorpio, Pisces; the earthly, Taurus, Virgo, Capricornus; the airy, Gemini, Libra, Aquarius; the fiery, Aries, Leo, Sagittarius
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Etymology

Webster's Revised Unabridged Dictionary
L. trigonum, Gr. ; (see Tri-) + a corner, angle: cf. F. trigone,
Chambers's Twentieth Century Dictionary
Gr. trigōnontri, tris, thrice, gōnia, an angle.

Usage

In literature:

The knife entered the bladder close to the trigone, making an opening large enough to admit the index finger.
"Anomalies and Curiosities of Medicine" by George M. Gould
The horns are trigonal, laterally compressed and knotted on the upper edge.
"Natural History of the Mammalia of India and Ceylon" by Robert A. Sterndale
Pre-sutural bristles: in Diptera, in a trigonate depression at outer ends of transverse suture, near dorso-pleural suture.
"Explanation of Terms Used in Entomology" by John. B. Smith
A figure of 3 sides is called a Trigon.
"Mechanical Drawing Self-Taught" by Joshua Rose
Grain is narrow, trigonous, oblong, translucent and shining.
"A Handbook of Some South Indian Grasses" by Rai Bahadur K. Ranga Achariyar
Behind the trigone a depression called "bas fond" is formed in the base of the bladder.
"Surgical Anatomy" by Joseph Maclise
It remained immovable only at the so-called trigonal numbers (3, 6, 9, 15, 21, etc.).
"Clever Hans" by Oskar Pfungst
The general form {hkl} is a trigonal pyramid consisting of three faces at one end of the crystal.
"Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 7" by Various
Perianth on a short branch, mostly trigonal with the odd angle beneath.
"The Manual of the Botany of the Northern United States" by Asa Gray
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In news:

Saucony Grid Trigon 3 Guide & Ride.
Saucony Grid Trigon 3 Ride & Guide.
SevenPorts is proud to offer the Azoo Trigon Education Kit, an easy-to-hatch setup for trigon .
This educational kit allows users and participants to hatch and rear young trigon .
Yasuhiko Watanabe, Yasuhito Suenaga, "A Trigonal Prism-Based Method for Hair Image Generation," IEEE Computer Graphics and Applications, vol 12, no.
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In science:

Hence, the theta divisor of the Jacobian variety of a purely trigonal curve has third order symmetry with respect to the origin.
Abelian functions for trigonal curves of degree four and determinantal formulae in purely trigonal case
The sigma function (Purely trigonal case) 4.
Abelian functions for trigonal curves of degree four and determinantal formulae in purely trigonal case
Let X be a real trigonal curve, i.e. X has a g 1 3 .
Clifford Theorem for real algebraic curves
Second, the trigonal warping is substantial at low carrier concentrations.
Screening in gated bilayer graphene
In Section 5, we start the investigation of curves of Clifford dimension 1 by looking at hyperelliptic, trigonal and tetragonal curves.
Vector bundles of rank 2 computing Clifford indices
In this section, we study the cases 2 ≤ k ≤ 4, in other words hyperelliptic, trigonal and tetragonal curves.
Vector bundles of rank 2 computing Clifford indices
Let C be a trigonal curve of genus g ≥ 5 and denote by T the trigonal line bund le.
Vector bundles of rank 2 computing Clifford indices
When angular variation of the avoided crossing gap due to trigonal warping effects is neglected , the conduction band minimum occurs along a circle in momentum space and the non-interacting electron Fermi surface is an annulus as indicated in Fig. 1(b).
Persistent Current States in Bilayer Graphene
We illustrate our main point by considering a toy model which ignores trigonal warping and spin and valley degrees-of-freedom, and by using mean-field theory to estimate the toy model Fermi-liquid parameters.
Persistent Current States in Bilayer Graphene
We expect that trigonal warping of the unbalanced bilayer conduction bands will favor momentum space condensation over competing density-wave instabilities.
Persistent Current States in Bilayer Graphene
This impact allows us to evaluate the Landau magnetic levels when the rigorous quantization fails, for instance, for bilayer graphene and graphite with the trigonal warping.
Berry phase, semiclassical quantization and Landau levels
The trigonal warping described by the effective Hamiltonian with a relatively small parameter γ3 provides an evident effect (see right panel).
Berry phase, semiclassical quantization and Landau levels
Fig. 2, where δ−phase of bilayer graphene with trigonal warping is also shown, the detailed calculations will be elsewhere published.
Berry phase, semiclassical quantization and Landau levels
FIG. 2: (Color online) Semiclassical phase vs energy in the conduction band of bilayer graphene without trigonal warping (solid line) and with warping (dashed line).
Berry phase, semiclassical quantization and Landau levels
We establish sharp bounds for the slopes of curves in M g that sweep the locus of trigonal curves, proving Stankova-Frenkel’s conjectured bound of 7 + 6/g for even g and obtaining the bound 7 + 20/(3g + 1) for odd g .
Sharp slope bounds for sweeping families of trigonal curves
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