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Plane locus

Locus Lo"cus, n.; pl. Loci, & Loca. [L., place. Cf. Allow, Couch, Lieu, Local.] 1. A place; a locality. 2. (Math.) The line traced by a point which varies its position according to some determinate law; the surface described by a point or line that moves according to a given law. Plane locus, a locus that is a straight line, or a circle. Solid locus, a locus that is one of the conic sections.

Locus Lo"cus, n.; pl. Loci, & Loca. [L., place. Cf. Allow, Couch, Lieu, Local.] 1. A place; a locality. 2. (Math.) The line traced by a point which varies its position according to some determinate law; the surface described by a point or line that moves according to a given law. Plane locus, a locus that is a straight line, or a circle. Solid locus, a locus that is one of the conic sections.

- located or on which it moves. Thus a circle in the Euclidean plane was defined as the locus of a point that is at a given distance of a fixed point, the...

- stability of the system. The root locus plots the poles of the closed loop transfer function in the complex s-plane as a function of a gain parameter...

- In mathematics, a cubic plane curve is a plane algebraic curve C defined by a cubic equation F ( x , y , z ) = 0 {\displaystyle F(x,y,z)=0} applied...

- Alternatively, one can define a conic section purely in terms of plane geometry: it is the locus of all points P whose distance to a fixed point F (called the...

- or more distinct shortest geodesics. In the Euclidean plane, a point p has an empty cut locus, because every other point is connected to p by a unique...

- Euclidean circle: a locus of points in the plane at a constant Euclidean distance (the extrinsic radius) from a point in the plane (the extrinsic center)...

- examples. Plane curves C ⊂ P 2 {\displaystyle C\subset \mathbb {P} ^{2}} of degree k {\displaystyle k} , which can be constructed as the vanishing locus of a...

- base has its apex on a small circle, called Lexell's circle or Lexell's locus, p****ing through each of the two points antipodal to the two base vertices...

- In physics, the wavefront of a time-varying wave field is the set (locus) of all points having the same phase. The term is generally meaningful only for...

- finalist for the 2017 Hugo Award for Best Novel and winner of the 2017 Locus Award for Best Science Fiction Novel. During the Fall of Constantinople...

- stability of the system. The root locus plots the poles of the closed loop transfer function in the complex s-plane as a function of a gain parameter...

- In mathematics, a cubic plane curve is a plane algebraic curve C defined by a cubic equation F ( x , y , z ) = 0 {\displaystyle F(x,y,z)=0} applied...

- Alternatively, one can define a conic section purely in terms of plane geometry: it is the locus of all points P whose distance to a fixed point F (called the...

- or more distinct shortest geodesics. In the Euclidean plane, a point p has an empty cut locus, because every other point is connected to p by a unique...

- Euclidean circle: a locus of points in the plane at a constant Euclidean distance (the extrinsic radius) from a point in the plane (the extrinsic center)...

- examples. Plane curves C ⊂ P 2 {\displaystyle C\subset \mathbb {P} ^{2}} of degree k {\displaystyle k} , which can be constructed as the vanishing locus of a...

- base has its apex on a small circle, called Lexell's circle or Lexell's locus, p****ing through each of the two points antipodal to the two base vertices...

- In physics, the wavefront of a time-varying wave field is the set (locus) of all points having the same phase. The term is generally meaningful only for...

- finalist for the 2017 Hugo Award for Best Novel and winner of the 2017 Locus Award for Best Science Fiction Novel. During the Fall of Constantinople...

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