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...

algebraic plane curve is the zero set of a polynomial in two variables. A projective algebraic plane curve is the zero set in a projective plane of a homogeneous...

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...

the theory of algebraic plane curves, a general quartic plane curve has 28 bitangent lines, lines that are tangent to the curve in two places. These lines...

infinity", not holes, hence the open quartic is still complete. The Klein quartic can be viewed as a projective algebraic curve over the complex numbers C, defined...

wool from which the ribbons were made. Curves that have been called a lemniscate include three quartic plane curves: the hippopede or lemniscate of Booth...

In mathematics, a plane curve is a curve in a plane that may be a Euclidean plane, an affine plane or a projective plane. The most frequently studied cases...

trifolium curve (also three-leafed clover curve, 3-petaled rose curve, and pâquerettenl:madeliefje de mélibée) is a type of quartic plane curve. The name...

the quartic plane curve that is a trisectrix that is specified as a limaçon. The shape of the limaçon trisectrix can be specified by other curves particularly...

Trident curve Trisectrix of Maclaurin Tschirnhausen cubic Witch of Agnesi Quartic plane curves include Ampersand curve Bean curve Bicorn Bow curve Bullet-nose...

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...

Following is a list of shapes studied in mathematics. Cubic plane curve Quartic plane curve Fractal Conic sections Unit circle Unit hyperbola Folium of...

A bifolium is a quartic plane curve with equation in Cartesian coordinates: ( x 2 + y 2 ) 2 = a x 2 y . {\displaystyle (x^{2}+y^{2})^{2}=ax^{2}y.} Given...

geometry, a spiric section, sometimes called a spiric of Perseus, is a quartic plane curve defined by equations of the form ( x 2 + y 2 ) 2 = d x 2 + e y 2...

In mathematics, a Lüroth quartic is a nonsingular quartic plane curve containing the 10 vertices of a complete pentalateral. They were introduced by Jacob...

algebraic geometry, the twisted Edwards curves are plane models of elliptic curves, a generalisation of Edwards curves introduced by Bernstein, Birkner, Joye...

Thus for g = 3 the canonical curves (non-hyperelliptic case) are quartic plane curves. All non-singular plane quartics arise in this way. There is explicit...

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, S)...

A conic section, conic or a quadratic curve is a curve obtained from a cone's surface intersecting a plane. The three types of conic section are the hyperbola...

projective plane, branched over a quartic plane curve. This map is generically 2 to 1, so this surface is sometimes called a del Pezzo double plane. The 56...

Bicuspid curve Cassini oval Cubic curve Elliptic curve Watt's curve Butterfly curve (algebraic) Elkies trinomial curves Hyperelliptic curve Klein quartic Classical...

{AC\cdot BC}{AB}}\\[4pt]\end{aligned}}} The cruciform curve or cross curve is a quartic plane curve given by the equation x 2 y 2 − b 2 x 2 − a 2 y 2 =...

In mathematics, a bullet-nose curve is a unicursal quartic curve with three inflection points, given by the equation a 2 y 2 − b 2 x 2 = x 2 y 2 {\displaystyle...

Jean Gaston Darboux. In general, toric sections are fourth-order (quartic) plane curves of the form ( x 2 + y 2 ) 2 + a x 2 + b y 2 + c x + d y + e = 0...

In geometry, a cardioid (from Greek καρδιά (kardiá) 'heart') is a plane curve traced by a point on the perimeter of a circle that is rolling around a...

In geometry, a deltoid curve, also known as a tricuspoid curve or Steiner curve, is a hypocycloid of three cusps. In other words, it is the roulette created...

Four points P0, P1, P2 and P3 in the plane or in higher-dimensional space define a cubic Bézier curve. The curve starts at P0 going toward P1 and arrives...

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...

a modular curve Y(Γ) is a Riemann surface, or the corresponding algebraic curve, constructed as a quotient of the complex upper half-plane H by the action...

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...