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Polynomial equation of degree 4
mathematics, a quartic equation is one which can be expressed as a quartic function equaling zero. The general form of a quartic equation is a x 4 + b x
Quartic_equation
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
Topics referred to by the same term
of the following: Quartic function, a polynomial function of degree 4 Quartic equation, a polynomial equation of degree 4 Quartic curve, an algebraic
Quartic
Mathematical connection between field theory and group theory
solution in his 1545 Ars Magna. His student Lodovico Ferrari solved the quartic polynomial; his solution was also included in Ars Magna. In this book,
Galois_theory
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 y 4 +
Quartic_plane_curve
Polynomial equation of degree 3
also true of quadratic (second-degree) and quartic (fourth-degree) equations, but not for higher-degree equations, by the Abel–Ruffini theorem.) geometrically:
Cubic_equation
Polynomial equation, generally univariate
finding Linear equation (degree = 1) Quadratic equation (degree = 2) Cubic equation (degree = 3) Quartic equation (degree = 4) Quintic equation (degree = 5)
Algebraic_equation
Polynomial function of degree 5
Solving quintic equations in terms of radicals (nth roots) was a major problem in algebra from the 16th century, when cubic and quartic equations were solved
Quintic_function
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
Functional equation Functional equation (L-function) Constitutive equation Laws of science Defining equation (physical chemistry) List of equations in classical
List_of_equations
Cubic polynomials defined from a monic polynomial of degree four
(Galois theory) Tignol, Jean-Pierre (2016), "Quartic equations", Galois' Theory of algebraic equations (2nd ed.), World Scientific, ISBN 978-981-4704-69-4
Resolvent_cubic
Polynomial equation of degree 7
hexagon. Cubic function Quartic function Quintic function Sextic equation Labs septic King, R. Bruce (2009). Beyond the Quartic Equation. Boston/Basel/Berlin:
Septic_equation
Mathematical puzzle
readily calculated. A derivation of the quartic is given below, along with the desired width in terms of the quartic solution. Note that the requested unknown
Crossed_ladders_problem
Italian mathematician (1522–1565)
1565) was an Italian mathematician best known today for solving the quartic equation. Born in Bologna, Lodovico's grandfather, Bartolomeo Ferrari, was forced
Lodovico_Ferrari
Mathematical formula expressing equality
linear equation for degree one quadratic equation for degree two cubic equation for degree three quartic equation for degree four quintic equation for degree
Equation
Formula that provides the solutions to a quadratic equation
{\displaystyle r_{3}} , which one can solve by the quadratic equation, and similarly for a quartic equation (degree 4), whose resolving polynomial is a cubic, which
Quadratic_formula
Swiss mathematician (1707–1783)
JSTOR 2309786. MR 0106810. Nickalls, R. W. D. (March 2009). "The quartic equation: invariants and Euler's solution revealed". The Mathematical Gazette
Leonhard_Euler
Polynomial equation of degree two
theory. Solving quadratic equations with continued fractions Linear equation Cubic function Quartic equation Quintic equation Fundamental theorem of algebra
Quadratic_equation
On reflection in a spherical mirror
solved the problem algebraically as the solution to a quartic equation, and used this equation to prove the impossibility of solving the problem with
Alhazen's_problem
Type of mathematical expression
much more complicated, are known for equations of degree three and four (see cubic equation and quartic equation). But formulas for degree 5 and higher
Polynomial
Mathematical concept
"linear", "quadratic", "cubic", "quartic", and "quintic". (p. 107) King (2009) defines "quadratic", "cubic", "quartic", "quintic", "sextic", "septic",
Degree_of_a_polynomial
Branch of mathematics
and was the first to present general methods for solving cubic and quartic equations. In the 16th and 17th centuries, the French mathematicians François
Algebra
Method of drawing geometric objects
tool. Therefore, origami can also be used to solve cubic equations (and hence quartic equations), and thus solve two of the classical problems. Archimedes
Straightedge and compass construction
Straightedge_and_compass_construction
Square root of a non-positive real number
Corry, Leo (2026-04-24). "Cardano and the solving of cubic and quartic equations". www.britannica.com. Retrieved 2026-05-22.{{cite web}}: CS1 maint:
Imaginary_number
Figure-eight-shaped curve
algebraic curves include The Devil's curve, a curve defined by the quartic equation y 2 ( y 2 − a 2 ) = x 2 ( x 2 − b 2 ) {\displaystyle
Lemniscate
Italian Renaissance polymath (1501–1576)
Scipione del Ferro to the cubic equation and the solution of Cardano's student Lodovico Ferrari to the quartic equation in his 1545 book Ars Magna, an
Gerolamo_Cardano
Canadian physiologist (1921–1993)
independent variables and formulated a quartic equation relating [H+] to these three independent variables. The quartic equation was solved numerically by computer
Peter_A._Stewart
Invariant of polynomial roots
formulas for the roots of a cubic equation. The cubic resolvent of a quartic equation, which is a resolvent for the dihedral group of 8 elements. The Cayley
Resolvent_(Galois_theory)
operations, geometry, operations with fractions, simple equations, cubic equations, quartic equations, and permutations and combinations. c. 150 BC – Greece
Timeline_of_mathematics
1545 text on mathematics by Gerolamo Cardano
way of solving quartic equations, but Ferrari's method depended upon Tartaglia's, since it involved the use of an auxiliary cubic equation. Then Cardano
Ars_Magna_(Cardano_book)
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
Solution in radicals of a polynomial equation
quadratic equation a x 2 + b x + c = 0. {\displaystyle ax^{2}+bx+c=0.} There exist algebraic solutions for cubic equations and quartic equations, which are
Solution_in_radicals
Mathematical expression using basic operations
polynomial equation, can always be written as algebraic expressions if n < 5 (see quadratic formula, cubic function, and quartic equation). Such a solution
Algebraic_expression
Quantum field theory with four-point interactions
quantum field theory, a quartic interaction or φ4 theory is a type of self-interaction in a scalar field. Other types of quartic interactions may be found
Quartic_interaction
Real root of the polynomial x^5+x+a
the resulting system of equations results in a sixth-degree equation. But in 1796 Bring found a way around this by using a quartic Tschirnhaus transformation
Bring_radical
and was the first to present general methods for solving cubic and quartic equations. As the Islamic world was declining after the 15th century, the European
History_of_algebra
Topics referred to by the same term
theory) of an equation for a permutation group, in particular: Resolvent quadratic of a cubic equation Resolvent cubic of a quartic equation In logic: Resolvent
Resolvent
algebraic equation with a degree of two Cubic equation – an algebraic equation with a degree of three Quartic equation – an algebraic equation with a degree
Outline_of_algebra
cubic equation (algebra) Solutions of a general quartic equation (algebra) Strassmann's theorem (field theory) Sturm's theorem (theory of equations) Vieta's
List_of_theorems
Mathematical formula involving a given set of operations
are expressions in radicals for all solutions of cubic equations (degree 3) and quartic equations (degree 4). The size of these expressions increases significantly
Closed-form_expression
2nd-degree plane curve which is reducible
gives a geometric solution to a quartic equation by considering the pencil of conics through the four roots of the quartic, and identifying the three degenerate
Degenerate_conic
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
Shape formed from points common to other shapes
hyperboloid, etc.) lead to quadratic equations that can be easily solved. Intersections between quadrics lead to quartic equations that can be solved algebraically
Intersection_(geometry)
Polynomial function of degree 3
functions. "Cardano formula", Encyclopedia of Mathematics, EMS Press, 2001 [1994] History of quadratic, cubic and quartic equations on MacTutor archive.
Cubic_function
introducing the gamma function and introduced a new method for solving quartic equations. He also found a way to calculate integrals with complex limits, foreshadowing
Contributions of Leonhard Euler to mathematics
Contributions_of_Leonhard_Euler_to_mathematics
Geometric concept
existence of real solutions to a quartic polynomial in 1025 variables. For the D = 24 dimensions and N = 196560 + 1, the quartic would have 19,322,732,544 variables
Kissing_number
Overview of GPS conversion formulas
used extra trigonometric functions in his original formulation. The quartic equation of κ {\displaystyle \kappa } , derived from the above, can be solved
Geographic coordinate conversion
Geographic_coordinate_conversion
general cubic equation (by reducing them to the case with zero quadratic term). 16th century: Lodovico Ferrari solves the general quartic equation (by reducing
Timeline of scientific discoveries
Timeline_of_scientific_discoveries
Number whose cube is a given number
expressed in terms of the complex cube root of a complex number. Quartic equations can also be solved in terms of cube roots and square roots. The calculation
Cube_root
Quartic potential in quantum mechanics
type of possible quartic potential is that of asymmetric shape of one of the first two named above. The double-well and other quartic potentials can be
Double-well_potential
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
Rational right triangles cannot have square area
{\displaystyle x\in \{-1,0,1\}} and y = 0 {\displaystyle y=0} . The quartic equation x 4 − y 4 = z 2 {\displaystyle x^{4}-y^{4}=z^{2}} has no nonzero integer
Fermat's right triangle theorem
Fermat's_right_triangle_theorem
Study of polynomial equations
solutions for cubic equations. Gerolamo Cardano published them in his 1545 book Ars Magna, together with a solution for the quartic equations, discovered by
Theory_of_equations
Development of mathematics in South Asia
solutions of: Quadratic equations. Cubic equations. Quartic equations. Equations with more than one unknown. Quadratic equations with more than one unknown
Indian_mathematics
mathematician, famous for having discovered the solution of the general quartic equation Luca Ghini (1490–1556), physician and botanist, best known as the creator
List_of_Italian_scientists
Notable events in the history of algebra
al-Karaji is attributed the first numerical solution of equations of the form ax2n + bxn = c (only equations with positive roots were considered)." O'Connor,
Timeline_of_algebra
Turbulence modeling approach
Reynolds-averaged Navier–Stokes equations (RANS equations) are time-averaged equations of motion for fluid flow. The idea behind the equations is Reynolds decomposition
Reynolds-averaged Navier–Stokes equations
Reynolds-averaged_Navier–Stokes_equations
Persian polymath and poet (1048–1131)
the tenth/eleventh century took it further by considering cubic and quartic equations, followed by the Persian mathematician and poet Omar Khayyam in the
Omar_Khayyam
Number with an integer power equal to 1
For n = 5, 10, none of the non-real roots of unity (which satisfy a quartic equation) is a quadratic integer, but the sum z + z = 2 Re z of each root with
Root_of_unity
Equations of degree 5 or higher cannot be solved by radicals
formula, the cubic formula, and the quartic formula for degrees two, three, and four, respectively. Polynomial equations of degree two can be solved with
Abel–Ruffini_theorem
Probability distribution
and β = 2, median = 0.6142724318676105..., the real solution to the quartic equation 1 − 8x3 + 6x4 = 0, which lies in [0,1]. For α = 2 and β = 3, median
Beta_distribution
Strain caused by an external load
^{2}\left({\cfrac {\omega ^{2}J}{kAG}}-1\right)} The solutions of this quartic equation are k 1 = + z + , k 2 = − z + , k 3 = + z − , k 4
Bending
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
Half of the sum of side lengths of a polygon
four sides of a bicentric quadrilateral are the four solutions of a quartic equation parametrized by the semiperimeter, the inradius, and the circumradius
Semiperimeter
Continued fraction closely related to the Rogers–Ramanujan identities
{\displaystyle R{\big (}e^{-2\pi }{\big )}} is a positive root of the quartic equation, x 4 + 2 x 3 − 6 x 2 − 2 x + 1 = 0 {\displaystyle x^{4}+2x^{3}-6x^{2}-2x+1=0}
Rogers–Ramanujan continued fraction
Rogers–Ramanujan_continued_fraction
1995 publication in mathematics
{\displaystyle a} , b {\displaystyle b} , and c {\displaystyle c} can satisfy the equation a n + b n = c n {\displaystyle a^{n}+b^{n}=c^{n}} if n {\displaystyle n}
Wiles's proof of Fermat's Last Theorem
Wiles's_proof_of_Fermat's_Last_Theorem
Cylinder whose generatrices are perpendicular to the bases
This equation provides a genuine 3D representation of the cylinder with end caps. Furthermore, this algebraic equation is a low degree quartic. This
Right_circular_cylinder
Polynomial equation of degree 6
is a polynomial of degree six. A sextic equation is a polynomial equation of degree six—that is, an equation whose left hand side is a sextic polynomial
Sextic_equation
History of a branch of mathematics
between the roots of a quartic equation and its resolvent cubic. Lagrange's goal (1770, 1771) was to understand why equations of third and fourth degree
History_of_group_theory
closed-form formula of the quartic equations in 1540. His solution is based on the closed-form formula of the cubic equations, thus had to wait until the
Polynomial_root-finding
Arithmetic operation, inverse of nth power
4 can always be expressed in terms of nth roots (see Cubic equation and Quartic equation). During the two next centuries, a considerable effort was devoted
Nth_root
Mathematical abelian group
explains the existence of the formula for calculating the roots of quartic equations in terms of radicals, as established by Lodovico Ferrari: the map
Klein_four-group
Disproved conjecture in number theory
MathWorld. Weisstein, Eric W. "Euler Quartic Conjecture". MathWorld. Weisstein, Eric W. "Diophantine Equation--4th Powers". MathWorld. Euler's Conjecture
Euler's sum of powers conjecture
Euler's_sum_of_powers_conjecture
Clifford algebra in 4 dimensions
mathematical physicist P. A. M. Dirac in 1928 in developing the Dirac equation for spin-1/2 particles with a matrix representation of the gamma matrices
Dirac_algebra
Nonlinear form of the Schrödinger equation
zero-curvature equation recovers the PDE rather than them satisfying Lax's equation. AKNS system Eckhaus equation Gross–Pitaevskii equation Quartic interaction
Nonlinear Schrödinger equation
Nonlinear_Schrödinger_equation
Conditions in number theory
Quartic or biquadratic reciprocity is a collection of theorems in elementary and algebraic number theory that state conditions under which the congruence
Quartic_reciprocity
geometry, the Igusa quartic (also called the Castelnuovo–Richmond quartic CR4 or the Castelnuovo–Richmond–Igusa quartic) is a quartic hypersurface in 4-dimensional
Igusa_quartic
Special mathematical function
{2})^{4}K(x)^{8}}}q(x)^{2}} Thus, the following third-order quartic differential equation is valid: x 2 ( 1 − x 2 ) 2 [ 2 q ( x ) 2 q ′ ( x ) q ‴ ( x
Nome_(mathematics)
Equation giving the form of a central force
The Binet equation, derived by Jacques Philippe Marie Binet, provides the form of a central force given the shape of the orbital motion in plane polar
Binet_equation
Type of quartic plane curve
a quartic plane curve that has 28 real bitangents, the maximum possible for bitangents of a quartic. It is the special case of the Plücker quartic ( x
Ampersand_curve
Graph of an equation
Lamé's special quartic, named after Gabriel Lamé, is the graph of the equation x 4 + y 4 = r 4 {\displaystyle x^{4}+y^{4}=r^{4}} where r > 0 {\displaystyle
Lamé's_special_quartic
Common elements of two or more sets
hyperboloid, etc.) lead to quadratic equations that can be easily solved. Intersections between quadrics lead to quartic equations that can be solved algebraically
Intersection
Australian and American mathematician (born 1975)
the Fields Medal in 2006 for his contributions to partial differential equations, combinatorics, harmonic analysis, and additive number theory. He is a
Terence_Tao
Set with associative invertible operation
− {\displaystyle -} ; analogous formulae are known for cubic and quartic equations, but do not exist in general for degree 5 and higher. In the quadratic
Group_(mathematics)
mathematician, famous for having discovered the solution of the general quartic equation Galileo Ferraris (1847–1897), physicist and electrical engineer, noted
List_of_people_from_Italy
Theorem in classical algebraic geometry
genus curves. The basic idea would be to use higher degree equations. Consider the quartic equation ( y 2 − x ( x − 1 ) ( x − 2 ) ) ( 5 y − x ) + ϵ x = 0.
Genus–degree_formula
Distance between the centers of externally tangent objects
{\displaystyle E_{2}'} analytically. It requires the appropriate solution of a quartic equation. The normal n ′ {\displaystyle n'} is calculated. Determination of
Distance_of_closest_approach
In mathematics, the Burkhardt quartic is a quartic threefold in 4-dimensional projective space studied by Burkhardt (1890, 1891, 1892), with the maximum
Burkhardt_quartic
Notable events in the history of geometry
operations, geometry, operations with fractions, simple equations, cubic equations, quartic equations, and permutations and combinations 140 BC – Hipparchus
Timeline_of_geometry
operations, geometry, operations with fractions, simple equations, cubic equations, quartic equations, and permutations and combinations. 50 BC — Indian numerals
Timeline of numerals and arithmetic
Timeline_of_numerals_and_arithmetic
Unsolved conjecture in number theory
"Diophantine Equation--8th Powers". MathWorld. Weisstein, Eric W. "Euler's Sum of Powers Conjecture". MathWorld. Weisstein, Eric W. "Euler Quartic Conjecture"
Lander, Parkin, and Selfridge conjecture
Lander,_Parkin,_and_Selfridge_conjecture
Curve from a cone intersecting a plane
cubic equations using conic sections. A century before the more famous work of Khayyam, Abu al-Jud used conics to solve quartic and cubic equations, although
Conic_section
Mathematical curves that are isomorphic over algebraic closures
curves with j-invariant equal to 1728 by quartic characters; twisting a curve E {\displaystyle E} by a quartic twist, one obtains precisely four curves:
Twists_of_elliptic_curves
Mathematical relation consisting of a multi-variable function equal to zero
that are quadratic, cubic, and quartic in y, the same is not in general true for quintic and higher degree equations, such as y 5 + 2 y 4 − 7 y 3 + 3
Implicit_function
Geometric construction used in Ancient Greek mathematics
precisely the power to solve quadratic and cubic (and hence also quartic) equations while line–circle neusis and circle–circle neusis are strictly more
Neusis_construction
represents the dispersion relation for longitudinal waves, and represents a quartic equation in ω {\displaystyle \omega } . The roots can be expressed in the form:
Two-stream_instability
Algorithm for division of polynomials
it can be factored out to obtain a quartic (fourth degree) quotient; the explicit formula for the roots of a quartic polynomial can then be used to find
Polynomial_long_division
Superconductivity theory
{\displaystyle \beta } have been absorbed so that the potential energy term is a quartic mexican hat potential; i.e., exhibiting spontaneous symmetry breaking,
Ginzburg–Landau_theory
Concept in algebraic number theory
{96}{24}}+1{\sqrt {3\cdot 19}}\right)}}} ), it satisfies respectively the quartic equations x 4 − 00 4 ⋅ 3 x 3 + 000 0 2 3 ( 96 + 3 ) x 2 − 000 000 2 3 ⋅ 3 (
Heegner_number
Figurate number based on the stella octangula
Bremner, A.; Høibakk, R.; Lukkassen, D. (2009), "Crossed ladders and Euler's quartic" (PDF), Annales Mathematicae et Informaticae, 36: 29–41, MR 2580898. Weisstein
Stella_octangula_number
QUARTIC EQUATION
QUARTIC EQUATION
Biblical
fourth
Girl/Female
Biblical
Fourth.
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
Male
Hebrew
Variant spelling of Hebrew Yamiyn, YAMIN means "the right hand," "the right side," or "the right quarter."
Boy/Male
Spanish
Born fourth.
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
Tamil
The Goddess who is quarter of the world
Boy/Male
Scottish
Proud.
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.
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.
Girl/Female
Muslim
Quarter Moon
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.
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).
Female
Chinese
blue glitter, or blue quartz.
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.
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.
Boy/Male
Latin Biblical
Born fourth.
Girl/Female
Arabic, Hindu, Indian, Muslim
Quarter Moon
Girl/Female
Bengali, Hindu, Indian, Tamil
Peaceful; Born in the First Quarter of an Astrological Day
QUARTIC EQUATION
QUARTIC EQUATION
Girl/Female
Tamil
Persevering enemy, Somebody who gives shelter
Boy/Male
Indian
Part of Sun
Girl/Female
Japanese
Surname meaning silver and yellow color.
Boy/Male
German Teutonic
Bright giant.
Surname or Lastname
English
English : variant of Hoskin.
Girl/Female
Arabic, Muslim
Healthiness
Boy/Male
Tamil
Mrityunjay | மரதà¯à®¯à¯à®‚ஜயÂ
Lord Shiva, Conqueror of death
Boy/Male
Hindu, Indian, Marathi
Wealth; Royalty
Girl/Female
Assamese, Celebrity, Gujarati, Indian, Kannada, Malayalam, Oriya, Punjabi, Sikh, Traditional
Remembrance; Meditation; God's Prayer
Girl/Female
Biblical
Sulphureous wells.
QUARTIC EQUATION
QUARTIC EQUATION
QUARTIC EQUATION
QUARTIC EQUATION
QUARTIC EQUATION
n.
A quantic of the fifth degree. See Quantic.
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.
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 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 vessel or measure containing a quart.
a.
Pertaining to water; growing in water; living in, swimming in, or frequenting the margins of waters; as, aquatic plants and fowls.
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.
n.
An aquatic animal or plant.
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.
Having four leaves to the sheet; of the form or size of a quarto.
n.
A quantic of the second degree. See Quantic.
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.
v. t.
A division of a town, city, or county; a particular district; a locality; as, the Latin quarter in Paris.
n.
A quantic of the fourth degree. See Quantic.
n.
A curve or surface whose equation is of the fourth degree in the variables.
n.
The fourth part of the moon's period, or monthly revolution; as, the first quarter after the change or full.
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.