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Surface described by a 4th-degree polynomial
geometry, a quartic surface is a surface defined by an equation of degree 4. More specifically there are two closely related types of quartic surface: affine
Quartic_surface
Topics referred to by the same term
beginning with Quartic All pages with titles containing Quartic Quart (disambiguation) Quintic, relating to degree 5, as next higher above quartic Cubic (disambiguation)
Quartic
Type of smooth complex surface of kodaira dimension 0
of surfaces, K3 surfaces form one of the four classes of minimal surfaces of Kodaira dimension zero. A simple example is the Fermat quartic surface x 4
K3_surface
Compact Riemann surface of genus 3
simple group after the alternating group A5. The quartic was first described in (Klein 1878b). Klein's quartic occurs in many branches of mathematics, in contexts
Klein_quartic
Irreducible nodal surface
In algebraic geometry, a Kummer quartic surface, first studied by Ernst Kummer (1864), is an irreducible nodal surface of degree 4 in P 3 {\displaystyle
Kummer_surface
Polynomial function of degree 4
degree four, called a quartic polynomial. A quartic equation, or equation of the fourth degree, is an equation that equates a quartic polynomial to zero
Quartic_function
for a singular (meaning special) tangent space of a variety, often a quartic surface. The term may have been introduced by Cayley (1869, p. 202), who defined
Trope_(mathematics)
Wave surface, a special tetrahedroid Plücker surfaces, birational to Kummer surfaces Weddle surfaces, birational to Kummer surfaces Smooth quartic surfaces
List of complex and algebraic surfaces
List_of_complex_and_algebraic_surfaces
Mathematics concept
conjecture. In 2003, Paul Seidel proved the conjecture in the case of the quartic surface. In 2002 Hausel & Thaddeus (2002) explained SYZ conjecture in the context
Homological_mirror_symmetry
Cylinder whose generatrices are perpendicular to the bases
caps. Furthermore, this algebraic equation is a low degree quartic. This quartic surface can be visualized using online graphing calculators such as
Right_circular_cylinder
Optical phenomenon
reference on Kummer surfaces. Every linear material has a quartic dispersion equation, so its wavevector surface is a Kummer surface, which can have at
Conical_refraction
German mathematician (1810–1893)
W. H. T. (11 October 1990) [Originally published 1905]. Kummer's Quartic Surface. Cambridge; New York: Cambridge University Press. ISBN 978-0-521-39790-2
Ernst_Kummer
28 lines which touch a general quartic plane curve in two places
explicit quartic with twenty-eight real bitangents was first given by Plücker (1839) As Plücker showed, the number of real bitangents of any quartic must
Bitangents_of_a_quartic
Polyhedral compound
p. 51, ISBN 978-0-387-97993-9 Hudson, R. W. H. T. (1905), Kummer's quartic surface, Cambridge University Press, pp. 1–2 Hilbert, David; Cohn-Vossen, Stephan
Stellated_octahedron
One of two different regular graphs with 16 vertices
(1968) because of its relation to the configuration of 16 lines on the quartic surface discovered in 1868 by the German mathematician Alfred Clebsch. The
Clebsch_graph
One-dimensional complex manifold
Riemann surface. For genus 2 the order is maximized by the Bolza surface, with order 48. For genus 3 the order is maximized by the Klein quartic, with order
Riemann_surface
Algebraic geometry surface, studied by Julius Plücker (1899)
In algebraic geometry, a Plücker surface, studied by Julius Plücker (1899), is a quartic surface in 3-dimensional projective space with a double line
Plücker_surface
Geometric inversion of a torus, cylinder or double cone
but the latter term is also used to refer to a more general class of quartic surfaces which are important in the theory of separation of variables for the
Dupin_cyclide
Riemannian manifold with SU(n) holonomy
dimensions, the K3 surfaces furnish the only compact simply connected Calabi–Yau manifolds. These can be constructed as quartic surfaces in P 3 {\displaystyle
Calabi–Yau_manifold
Mathematical concept
number of a K3 surface over the complex numbers is at most 20. The first example was given by Tate, who observed that the Fermat quartic surface has Picard
Supersingular_variety
Automorphism group of the Klein quartic
quartic is the projective variety over the complex numbers C defined by the quartic polynomial x3y + y3z + z3x = 0. It is a compact Riemann surface of
PSL(2,7)
British mathematician
Kummer's Quartic Surface has gone on to become one of the most foundational texts in geometry. Hudson, R. W. H. T. (1905), Kummer's Quartic Surface, Cambridge
R._W._H._T._Hudson
{\displaystyle k} , and F ( h , k ) {\displaystyle F(h,k)} is a quartic form with a homogeneous quartic polynomial in h {\displaystyle h} and k {\displaystyle
Peano_surface
Irreducible nodal surface with properties similar to that of a tetrahedron
302–305 Hudson, R. W. H. T. (1990) [First published 1905], Kummer's quartic surface, Cambridge Mathematical Library, Cambridge University Press, ISBN 978-0-521-39790-2
Tetrahedroid
In mathematics, Fresnel's wave surface, found by Augustin-Jean Fresnel in 1822, is a quartic surface describing the propagation of light in an optically
Wave_surface
interest in nineteenth century geometry in the Kummer surface came in part from the way a quartic surface represented a quotient of an abelian variety with
Equations defining abelian varieties
Equations_defining_abelian_varieties
German mathematician
Gundelfinger quartic and proved the completeness of the invariants of a ternary cubic. In mathematics, the Gundelfinger quartic is a quartic surface in projective
Sigmund_Gundelfinger
for example, "quartic" could also be short for "quartic curve" or "quartic surface". In classical algebraic geometry, all curves, surfaces, varieties, and
Glossary of classical algebraic geometry
Glossary_of_classical_algebraic_geometry
Plane algebraic curve defined by a 4th-degree polynomial
algebraic geometry, a quartic plane curve is a plane algebraic curve of the fourth degree. It can be defined by a bivariate quartic equation: A x 4 + B
Quartic_plane_curve
Concept in algebraic geometry
del Pezzo surface map in pairs to the 28 bitangents of a quartic. Degree 3: these are essentially cubic surfaces in P3; the cubic surface is the image
Del_Pezzo_surface
Configuration of 3 tetrahedra in projective geometry
The three tetrahedra of a desmic system are contained in a pencil of quartic surfaces. Every line that passes through two vertices of two tetrahedra in the
Desmic_system
Mathematics of smooth surfaces
closed geodesics on M. Examples. the Bolza surface of genus 2; the Klein quartic of genus 3; the Macbeath surface of genus 7; the First Hurwitz triplet of
Differential geometry of surfaces
Differential_geometry_of_surfaces
Smooth closed surface with g holes
3 surface. The Klein quartic is a compact Riemann surface of genus 3 with the highest possible order automorphism group for compact Riemann surfaces of
Genus_g_surface
points is its singular surface. The singular surface is Kummer's surface. It is a quartic surface. Each line meets the surface in 4 points, and through
Line_complex
In algebraic geometry, a point with rational coordinates
curve). Campana's conjecture would also imply that a K3 surface X (such as a smooth quartic surface in P 3 {\displaystyle \mathbb {P} ^{3}} ) over a number
Rational_point
Function of the coefficients of a polynomial that gives information on its roots
degrees, it may become unwieldy. For example, the discriminant of a general quartic has 16 terms, that of a quintic has 59 terms, and that of a sextic has
Discriminant
Set of points equidistant from a center
orbit. The analog of a conic section on the sphere is a spherical conic, a quartic curve which can be defined in several equivalent ways. The intersection
Sphere
Quartic surface in projective 3-space
In algebraic geometry, a Weddle surface, introduced by Thomas Weddle (1850, footnote on page 69), is a quartic surface in 3-dimensional projective space
Weddle_surface
Curved curface derived from a coarse polygon mesh
subdivision scheme based on a quartic box-spline of six direction vectors to provide a rule to generate C2 continuous limit surfaces everywhere except at extraordinary
Subdivision_surface
Murray (1999). "Hurwitz Groups and Surfaces" (PDF). In Levy, Silvio (ed.). The Eightfold Way: The Beauty of Klein's Quartic Curve. MSRI Publications. Vol. 35
MacBeath_surface
Figure-eight-shaped curve
ribbons were made. Curves that have been called a lemniscate include three quartic plane curves: the hippopede or lemniscate of Booth, the lemniscate of Bernoulli
Lemniscate
Concept in geometry
automorphism group as Riemann surfaces. The smallest of these is the Klein quartic, the most symmetric genus 3 surface, together with a tiling by 56 triangles
Order-7_triangular_tiling
Subdivision surface derived from a triangular mesh
Loop subdivision surfaces are defined recursively, dividing each triangle into four smaller ones. The method is based on a quartic box spline. It generates
Loop_subdivision_surface
Theorem in algebraic geometry
group PSL(2,7), of order 168, and the corresponding curve is the Klein quartic curve. This group is also isomorphic to PSL(3,2). Next is the Macbeath
Hurwitz's automorphisms theorem
Hurwitz's_automorphisms_theorem
Japanese mathematician (1915–1997)
afterwards. This work also included a characterisation of K3 surfaces as deformations of quartic surfaces in P3, and the theorem that they form a single diffeomorphism
Kunihiko_Kodaira
Algebraic surface
curve (also called Bring's surface and, by analogy with the Klein quartic, the Bring sextic) is a highly-symmetric Riemann surface. It can be defined as an
Bring's_curve
English mathematician (1861–1939)
and Hydrostatics, G. Bell & Sons Jessop, Charles Minshall (1916), "Quartic surfaces with singular points", Nature, 98 (2463), Cambridge University Press:
Charles_Minshall_Jessop
Two special graphs in graph theory
2. It can be embedded in the genus-3 orientable surface (which can be represented as the Klein quartic), where it forms the Klein map with 24 heptagonal
Klein_graphs
In mathematics, a Riemann surface
appropriate choice of an order. Hyperelliptic curve Klein quartic Bring's curve Macbeath surface First Hurwitz triplet Aurich, R.; Sieber, M.; Steiner, F
Bolza_surface
that 3-folds have minimal models. Algebraic curve Algebraic surface Cubic threefold Quartic threefold Quintic threefold Matsuki, Kenji (2002), Introduction
3-fold
Elliptic curve Watt's curve Bolza surface (genus 2) Klein quartic (genus 3) Bring's curve (genus 4) Macbeath surface (genus 7) Butterfly curve (algebraic)
List_of_curves
Isometric rational surface of degree 6 in P4
into P4 is given by the 5-dimensional space of quartics passing through the 10 points. White surfaces are the generalizations using more points. Beauville
Bordiga_surface
automorphisms. Klein configuration Hudson, R. W. H. T. (1990), Kummer's quartic surface, Cambridge Mathematical Library, Cambridge University Press, ISBN 978-0-521-39790-2
Kummer_configuration
Hurwitz surface grows at least as a cubic function of n {\displaystyle n} (Larsen 2001). The Hurwitz surface of least genus is the Klein quartic of genus
Hurwitz_surface
Klein quartic Classical modular curve Bolza surface Macbeath surface Polynomial lemniscate Fermat curve Sinusoidal spiral Superellipse Hurwitz surface Bowditch
List_of_mathematical_shapes
Intersection of a torus and a plane
intersection curve, which theory says must be a quartic, contains four double points. But we also know that a quartic with more than three double points must
Villarceau_circles
Doughnut-shaped surface of revolution
)}^{2}}+z^{2}=r^{2}.} Algebraically eliminating the square root gives a quartic equation, ( x 2 + y 2 + z 2 + R 2 − r 2 ) 2 = 4 R 2 ( x 2 + y 2 ) . {\displaystyle
Torus
Italian mathematician (1871–1946)
Rational surfaces and more generally ruled surfaces (these include quadrics and cubic surfaces in projective 3-space) have the simplest geometry. Quartic surfaces
Federigo_Enriques
arXiv:math/0604379. Seidel, Paul (2003). "Homological mirror symmetry for the quartic surface". arXiv:math/0310414. Zhou, Jiawei (2019). On the Construction of Minimal
Homotopy_associative_algebra
Natural number, composite number
only tile the plane alongside irregular polygons. The Klein quartic is a compact Riemann surface of genus 3 that has the largest possible automorphism group
14_(number)
Quantity of a three-dimensional space
litre) or by various imperial or US customary units (such as the gallon, quart, cubic inch). The definition of length and height (cubed) is interrelated
Volume
Type of map projection
Tobler hyperelliptical Other Eckert-Greifendorff McBryde-Thomas Flat-Polar Quartic Projection Hammer Strebe 1995 Snyder equal-area projection, used for geodesic
Equal-area_projection
Flat-bottomed pan with a long handle in cookware
wide enough to hold at least 1 US quart (33 imp fl oz; 950 ml) of water, with sizes typically ranging up to 4 US quarts (130 imp fl oz; 3.8 L), and having
Saucepan
Mathematical classification
Klein quartic (genus 3) with an embedded (complementary) Fano plane as a 7-element set (order 2 biplane), and PSL(2,11) the buckminsterfullerene surface (genus
ADE_classification
Municipality in Valencian Community, Spain
Quart de Poblet (Valencian: [ˈkwaɾd de poˈblet]; Spanish and unofficially: Cuart de Poblet [ˈkwaɾ(ð) ðe poˈβlet]), or simply Quart (Valencian: [ˈkwaɾt];
Quart_de_Poblet
Book on objects used to teach mathematics
related ruled surfaces, described as "elementary analytic geometry" and explained by Fischer himself. Plaster and wood models of cubic and quartic algebraic
Mathematical_Models_(Fischer)
Graph drawing used to study Riemann surfaces
monodromy P S L ( 2 , 7 ) {\displaystyle PSL(2,7)} connected to the Klein quartic. These were all related to his investigations of the geometry of the quintic
Dessin_d'enfant
Surface in algebraic geometry
Enriques surface) was found by Federigo Enriques. Bordiga surfaces: A degree 6 embedding of the projective plane into P4 defined by the quartics through
Rational_surface
Tiling of the hyperbolic plane
group equals their automorphism group as Riemann surfaces. The smallest Hurwitz surface is the Klein quartic (genus 3, automorphism group of order 168), and
Heptagonal_tiling
R Klein bottle, RP2 # RP2 Klein quartic (a genus 3 surface) Möbius strip Real projective plane, RP2 Sphere, S2 Surface of genus g Torus Double torus 3-sphere
List_of_manifolds
Straight path on a curved surface or a Riemannian manifold
in some sense the locally shortest path (arc) between two points in a surface, or more generally in a Riemannian manifold. The term also has meaning
Geodesic
Can be constructed by light shining through a globe onto a developable surface. 360 video projection List of national coordinate reference systems Snake
List_of_map_projections
Characteristic class for real vector bundles
Recall that a quartic polynomial whose vanishing locus in C P 3 {\displaystyle \mathbb {CP} ^{3}} is a smooth subvariety is a K3 surface. If we use the
Pontryagin_class
H. T. (1990) [1905], "§25. Klein's 6015 configuration", Kummer's quartic surface, Cambridge Mathematical Library, Cambridge University Press, pp. 42–44
Klein_configuration
Archimedean solid with 32 faces
vertices and 60 edges, one of the Archimedean graphs. It is a symmetric quartic graph, meaning that each vertex is connected to four other vertices. The
Icosidodecahedron
Direct induction heating of cooking vessels
hob or induction cooktop) generally has a heat-resistant glass-ceramic surface. Below each cooking position there is a coil copper wire with an alternating
Induction_cooking
Natural number
number of automorphisms of a genus 3 Riemann surface, this maximum being achieved by the Klein quartic, whose symmetry group is P S L ( 2 , 7 ) {\displaystyle
168_(number)
theorem Birch and Swinnerton-Dyer conjecture Bitangent Bitangents of a quartic Cartesian coordinate system Caustic Cesàro equation Chord (geometry) Cissoid
List_of_curves_topics
Topics referred to by the same term
with a toilet Quadratic, relating to degree 2, as next lower below cubic Quartic, relating to degree 4, as next higher above cubic This disambiguation page
Cubic
Class of quartic plane curves
In geometry, a Cassini oval is a quartic plane curve defined as the locus of points in the plane such that the product of the distances to two fixed points
Cassini_oval
Country in Europe
Library of Congress. Archived from the original on 25 May 2020. "Surface water and surface water change". Organisation for Economic Co-operation and Development
Germany
quadratic form Q with values mod 2. Thus in case of g = 3 and a plane quartic curve, there were 28 of one type, and the remaining 36 of the other; this
Theta_characteristic
trinomial curves Hyperelliptic curve Klein quartic Classical modular curve Erdős lemniscate Hurwitz surface Mandelbrot curve Polynomial lemniscate Sinusoidal
Gallery_of_curves
under the 2-theta map, and is then the singular locus of a 6-dimensional quartic hypersurface (Coble 1982), called a Coble hypersurface. Similarly the Jacobian
Coble_hypersurface
Jacobi intersection, that is given by an intersection of two surfaces, and the Jacobi quartic. Given an elliptic curve, it is possible to do some "operations"
Jacobian_curve
Experimental designs for response surface methodology
composite designs, but, in this case, to estimate univariate cubic and quartic effects, with length α = min(2, (int(1.5 + K/4))1/2), for K factors, roughly
Box–Behnken_design
of the Klein quartic, the genus 3 surface with the most symmetric metric (automorphisms of this tiling equal isometries of the surface), and the
Small_cubicuboctahedron
Archimedean solid with 62 faces
of the Archimedean solids. It has 60 vertices and 120 edges, and is a quartic graph Archimedean graph. Truncated rhombicosidodecahedron Ioannis Keppler
Rhombicosidodecahedron
Spline function
computer-aided design (CAD) and computer graphics, where they shape curves and surfaces through a set of control points, as well as in data analysis for tasks
B-spline
Mathematical surface
(2022). The first example of a K3 surface with Picard number 22 was given by Tate (1965), who observed that the Fermat quartic w4 + x4 + y4 + z4 = 0 has Picard
Supersingular_K3_surface
1552 novel by François Rabelais
Le Quart Livre (The Fourth Book in English) is a novel by François Rabelais and published in its final version in 1552. The author was confronted with
Le_Quart_Livre
Physical and chemical properties of pure water
abundant substance on the surface of Earth and the only common substance to exist as a solid, liquid, and gas on Earth's surface. It is also the third most
Properties_of_water
Curve defined as zeros of polynomials
In special cases, the intersection either may be a rational singular quartic or is decomposed in curves of smaller degrees which are not always distinct
Algebraic_curve
Class of geometric plane curves
and d(P, S) − m d(Q, S) = ± a are closely related; together they form a quartic plane curve called the ovals of Descartes. In the equation d(P, S) + m d(Q
Cartesian_oval
Group of even permutations of a finite set
corresponds to associating the Lagrange resolvent cubic to a quartic, which allows the quartic polynomial to be solved by radicals, as established by Lodovico
Alternating_group
Construction in group theory
groups of Hurwitz surfaces – algebraic curves of maximal possibly symmetry group). The Hurwitz surface of lowest genus, the Klein quartic (genus 3), has
Projective_linear_group
Planar maps require at most four colors
(requiring only O(n2) time, where n is the number of vertices), improving on a quartic-time algorithm based on Appel and Haken's proof. The new proof, based on
Four_color_theorem
integral Complex multiplication Weil pairing Hyperelliptic curve Klein quartic Modular curve Modular equation Modular function Modular group Supersingular
List of algebraic geometry topics
List_of_algebraic_geometry_topics
MR 1929793. Barth, Wolf; Nieto, Isidro (1994), "Abelian surfaces of type (1,3) and quartic surfaces with 16 skew lines", Journal of Algebraic Geometry, 3
Barth–Nieto_quintic
Method of defining complex surfaces in computer graphics
degree 4 by 4 (bi-quartic). Subdivision surfaces, NURBS surfaces, and polygon meshes are alternative technologies. Subdivision surfaces, as well as T-spline
T-spline
QUARTIC SURFACE
QUARTIC SURFACE
Biblical
fourth
Boy/Male
Spanish
Born fourth.
Boy/Male
Scottish
Proud.
Male
English
Anglicized form of Hebrew Yamiyn, JAMIN means "the right hand," "the right side," or "the right quarter." In the bible, this is the name of several characters, including a son of Simeon.
Boy/Male
Latin Biblical
Born fourth.
Girl/Female
Arabic, Hindu, Indian, Muslim
Quarter Moon
Male
Hebrew
Variant spelling of Hebrew Yamiyn, YAMIN means "the right hand," "the right side," or "the right quarter."
Male
English
 English form of Spanish Gaspar, JASPER means "treasure bearer." Early Christians assigned names to the three Magi ("wise men from the east") who visited the baby Jesus. They are mentioned but not named in the bible; Jasper is one of them, the other two are Balthasar and Melchior. Jasper is also the name of an opaque cryptocrystalline variety of quartz that may be red, yellow or brown in color. Also spelled Casper and Kasper.
Female
English
English name derived from Latin candida, CANDIDA means "clear and white,"Â like pure quartz rather than the whiteness of milk. George Bernard Shaw used this name for his 1895 play of the same name.
Girl/Female
Tamil
The Goddess who is quarter of the world
Male
Hebrew
(יָמִין) Hebrew name YAMIYN means "the right hand," "the right side," or "the right quarter." In the bible, this is the name of several characters, including a son of Simeon. The English form is Jamin.
Girl/Female
Bengali, Hindu, Indian, Tamil
Peaceful; Born in the First Quarter of an Astrological Day
Girl/Female
Assamese, Greek, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sindhi, Telugu, Traditional
Polite; Born in the First Quarter of the Day
Girl/Female
Hindu
The Goddess who is quarter of the world
Surname or Lastname
English (West Midlands)
English (West Midlands) : patronymic from Firkin, a metonymic occupational name for a maker of casks and barrels, or a nickname for a stout man or a heavy drinker, from Middle English fer(de)kyn ‘small cask’ (probably from a Middle Dutch diminutive of vierde ‘fourth (part)’; as a measure of capacity a firkin was reckoned as a quarter of a barrel).
Girl/Female
Biblical
Fourth.
Surname or Lastname
English
English : variant of Sale 1.English : metonymic occupational name for a maker of seals or signet rings, from Middle English, Old French seel ‘seal’ (Latin sigillum).English : metonymic occupational name for a maker of saddles, from Old French seele ‘saddle’.English : nickname for a plump or ungainly person, from Middle English sele ‘seal’ (the aquatic mammal).Americanized form (translation) of Jewish Siegel.
Girl/Female
Muslim
Quarter Moon
Surname or Lastname
English (mainly East Anglia)
English (mainly East Anglia) : metonymic occupational name for someone who dealt in weights and measures, for example a grain factor, from Middle English pekke ‘peck’ (an old measure of dry goods equivalent to eight quarts or a quarter of a bushel).English : variant of Peak 1.Irish : variant of Peak 2.South German : variant of Beck.North German and Dutch : metonymic occupational name for someone who prepared or sold pitch, from Middle Low German pek, Middle Dutch pec, pic.Dutch : from Middle Dutch pec, pick ‘desperate straits’, hence a nickname for a person in difficult circumstances or perhaps for someone with a gloomy disposition.
Female
Chinese
blue glitter, or blue quartz.
QUARTIC SURFACE
QUARTIC SURFACE
Girl/Female
Indian
Spontaneous
Boy/Male
Tamil
Thrilok | தà¯à®°à®¿à®²à¯‹à®•
Three words heaven, Earth, Hell
Male
English
Anglicized form of Irish Gaelic Ultán, ULTAN means "of Ulster."
Girl/Female
Tamil
Nidhima | நிதிமாஂÂ
Treasure or wealth
Boy/Male
Hindu, Indian, Tamil
God of Law; One Well Versed in Law; Experiment
Boy/Male
Hindu, Indian
Glory
Boy/Male
Tamil
Vishnudev | விஷà¯à®£à¯à®¤à¯‡à®µ
God
Girl/Female
Indian, Sanskrit, Telugu
Given by Lakshmi; Bestowing Fortune
Male
Gypsy/Romani
Variant spelling of Bulgarian Boyko, BOIKO means "inhabitant of western Ukraine."Â In use by the Romani.
Boy/Male
Hindu, Indian
One with All Knowledge
QUARTIC SURFACE
QUARTIC SURFACE
QUARTIC SURFACE
QUARTIC SURFACE
QUARTIC SURFACE
n.
A quantic of the fifth degree. See Quantic.
n.
The fourth part of the moon's period, or monthly revolution; as, the first quarter after the change or full.
a.
Pertaining to terms of the second degree; as, a quadratic equation, in which the highest power of the unknown quantity is a square.
pl.
of Quarto
a.
Of or pertaining to the fourth; occurring every fourth day, reckoning inclusively; as, a quartan ague, or fever.
n.
The fourth part; a quarter; hence, a region of the earth.
a.
Pertaining to water; growing in water; living in, swimming in, or frequenting the margins of waters; as, aquatic plants and fowls.
v. t.
A division of a town, city, or county; a particular district; a locality; as, the Latin quarter in Paris.
n.
The fourth of a ton in weight, or eight bushels of grain; as, a quarter of wheat; also, the fourth part of a chaldron of coal.
n.
The after-part of a vessel's side, generally corresponding in extent with the quarter-deck; also, the part of the yardarm outside of the slings.
n.
A homogeneous algebraic function of two or more variables, in general containing only positive integral powers of the variables, and called quadric, cubic, quartic, etc., according as it is of the second, third, fourth, fifth, or a higher degree. These are further called binary, ternary, quaternary, etc., according as they contain two, three, four, or more variables; thus, the quantic / is a binary cubic.
n.
A quantic of the second degree. See Quantic.
n.
A quantic of the fourth degree. See Quantic.
v. t.
The fourth part of the distance from one point of the compass to another, being the fourth part of 11¡ 15', that is, about 2¡ 49'; -- called also quarter point.
n.
A vessel or measure containing a quart.
n.
An aquatic animal or plant.
a.
Having four leaves to the sheet; of the form or size of a quarto.
n.
A curve or surface whose equation is of the fourth degree in the variables.
n.
One of four equal parts into which anything is divided, or is regarded as divided; a fourth part or portion; as, a quarter of a dollar, of a pound, of a yard, of an hour, etc.