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Each curve in this example is a locus defined as the conchoid of the point P and the line l.In this example, P is 8 cm from l. In geometry, a locus (plural: loci) (Latin word for "place", "location") is a set of all points (commonly, a line, a line segment, a curve or a surface), whose location satisfies or is determined by one or more specified conditions.
It is the locus corresponding to the locations over time of a point moving away from a fixed point with a constant speed along a line that rotates with constant angular velocity. Equivalently, in polar coordinates ( r , θ ) it can be described by the equation r = b ⋅ θ {\displaystyle r=b\cdot \theta } with real number b .
Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems.Classically, it studies zeros of multivariate polynomials; the modern approach generalizes this in a few different aspects.
Locus (mathematics), the set of points satisfying a particular condition, often forming a curve; Root locus analysis, a diagram visualizing the position of roots as a parameter changes; Locus (archaeology), the smallest definable unit in stratigraphy; Locus (genetics), the position of a gene or other significant sequence on a chromosome
The twisted cubic is a projective algebraic variety.. Algebraic varieties are the central objects of study in algebraic geometry, a sub-field of mathematics.Classically, an algebraic variety is defined as the set of solutions of a system of polynomial equations over the real or complex numbers.
The support of the quasicoherent sheaf / is called the ramification locus of and the image of the ramification locus, ( /), is called the branch locus of . If Ω X / Y = 0 {\displaystyle \Omega _{X/Y}=0} we say that f {\displaystyle f} is formally unramified and if f {\displaystyle f} is also of locally finite presentation we say that f ...
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GeoGebra is an interactive mathematics software suite for learning and teaching science, technology, engineering, and mathematics from primary school up to the university level. Constructions can be made with points, vectors, segments, lines, polygons, conic sections, inequalities, implicit polynomials and functions, all of which can be edited ...