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2. General position - Wikipedia

   en.wikipedia.org/wiki/General_position

   In algebraic geometry and computational geometry, general position is a notion of genericity for a set of points, or other geometric objects. It means the general case situation, as opposed to some more special or coincidental cases that are possible, which is referred to as special position. Its precise meaning differs in different settings.

3. Point (geometry) - Wikipedia

   en.wikipedia.org/wiki/Point_(geometry)

   In geometry, a point is an abstract idealization of an exact position, without size, in physical space, [1] or its generalization to other kinds of mathematical spaces.As zero-dimensional objects, points are usually taken to be the fundamental indivisible elements comprising the space, of which one-dimensional curves, two-dimensional surfaces, and higher-dimensional objects consist; conversely ...

4. Configuration (geometry) - Wikipedia

   en.wikipedia.org/wiki/Configuration_(geometry)

   Configurations (4 3 6 2) (a complete quadrangle, at left) and (6 2 4 3) (a complete quadrilateral, at right).. In mathematics, specifically projective geometry, a configuration in the plane consists of a finite set of points, and a finite arrangement of lines, such that each point is incident to the same number of lines and each line is incident to the same number of points.

5. Geometry - Wikipedia

   en.wikipedia.org/wiki/Geometry

   For instance, in analytic geometry, a line in the plane is often defined as the set of points whose coordinates satisfy a given linear equation, [46] but in a more abstract setting, such as incidence geometry, a line may be an independent object, distinct from the set of points which lie on it. [47]

6. K-set (geometry) - Wikipedia

   en.wikipedia.org/wiki/K-set_(geometry)

   A set of six points (red), its six 2-sets (the sets of points contained in the blue ovals), and lines separating each -set from the remaining points (dashed black). In discrete geometry, a -set of a finite point set in the Euclidean plane is a subset of elements of that can be strictly separated from the remaining points by a line.

7. Arrangement of lines - Wikipedia

   en.wikipedia.org/wiki/Arrangement_of_lines

   Configuration (geometry), an arrangement of lines and a set of points with all lines containing the same number of points and all points belonging to the same number of lines Arrangement (space partition) , a partition of the plane given by overlaid curves or of a higher dimensional space by overlaid surfaces, without requiring the curves or ...

8. Locus (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Locus_(mathematics)

   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.

9. Straightedge and compass construction - Wikipedia

   en.wikipedia.org/wiki/Straightedge_and_compass...

   The same set of points can often be constructed using a smaller set of tools. For example, using a compass, straightedge, and a piece of paper on which we have the parabola y=x 2 together with the points (0,0) and (1,0), one can construct any complex number that has a solid construction.