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In geometry, a circular algebraic curve is a type of plane algebraic curve determined by an equation F(x, y) = 0, where F is a polynomial with real coefficients...

space and skew curves apply also to real algebraic curves, although the above definition of a curve does not apply (a real algebraic curve may be disconnected)...

rational points on the unit circle Circular algebraic curve Circular distribution Circular statistics Mean of circular quantities Polygon-circle graph Splitting...

instance, the zero set of the polynomial below forms a non-circular smooth algebraic curve of constant width: f ( x , y ) = ( x 2 + y 2 ) 4 − 45 ( x 2...

changes. In classical algebraic geometry, adjectives were often used as nouns: for example, "quartic" could also be short for "quartic curve" or "quartic surface"...

reflects the observed data. For linear-algebraic analysis of data, "fitting" usually means trying to find the curve that minimizes the vertical (y-axis)...

circles. This can be generalized to curves of higher order as circular algebraic curves. Just as the selection of axes in the Cartesian coordinate system...

In algebraic geometry, a lemniscate (/lɛmˈnɪskɪt/ or /ˈlɛmnɪsˌkeɪt, -kɪt/) is any of several figure-eight or ∞-shaped curves. The word comes from the...

eccentricity. In analytic geometry, a conic may be defined as a plane algebraic curve of degree 2; that is, as the set of points whose coordinates satisfy...

curve of a cubic Bézier is a 10th-order algebraic curve and more generally for a Bézier of degree n the two-sided offset curve is an algebraic curve of...

William Neile's discovery of the first rectification of a nontrivial algebraic curve, the semicubical parabola. The accompanying figures appear on page...

generalization of the concepts of hyperplane, plane curve, and surface. A hypersurface is a manifold or an algebraic variety of dimension n − 1, which is embedded...

focus can be generalized to arbitrary algebraic curves. Let C be a curve of class m and let I and J denote the circular points at infinity. Draw the m tangents...

Astroid, a curve with four cusps Circular horn triangle, a three-cusped curve formed from circular arcs Ideal triangle, a three-cusped curve formed from...

connection between his algebra and logic was later put on firm ground in the setting of algebraic logic, which also studies the algebraic systems of many other...

(mathematics)#Behavior of a polynomial function near a multiple root Algebraic curve#Tangent at a point In "Nova Methodus pro Maximis et Minimis" (Acta...

these four sets. At the other extreme, the curve of constant width that has the maximum possible area is a circular disk, which has area π s 2 / 4 ≈ 0.785...

tautochrone curve or isochrone curve (from Ancient Greek ταὐτό (tauto-) 'same', ἴσος (isos-) 'equal', and χρόνος (chronos) 'time') is the curve for which...

are the simplest alternating algebraic link which does not have a diagram that is simultaneously alternating and algebraic. It follows from the Tait conjectures...

normal curve Rose curve Bicuspid curve Cassini oval Cassinoide Cubic curve Elliptic curve Watt's curve Butterfly curve Elkies trinomial curves Hyperelliptic...