Point2D10

Point2D10 is a formalized name used in some mathematical and programming contexts to denote a two-dimensional point, typically in a decimal coordinate system. The term combines the generic concept Point2D with a numeric suffix, here 10, to distinguish it from other similar constructs in tutorials and libraries. In practice, Point2D10 represents an ordered pair (x, y) of real numbers that specifies a location in the two-dimensional plane.

In Cartesian coordinates, the point (x, y) is located x units from the vertical axis and y units from the horizontal axis. The 10 suffix does not impose a fixed unit; coordinates can be expressed in decimal units such as meters, pixels, or any consistent unit used in the context.

Key operations include computing distance, translation, and scaling. The distance between Point2D10 p=(x1, y1) and q=(x2, y2) is sqrt((x2−x1)^2 + (y2−y1)^2). The midpoint is ((x1+x2)/2, (y1+y2)/2). Points can be translated by adding a vector (dx, dy) to obtain (x+dx, y+dy), or scaled by a scalar s to yield (s x, s y).

Representations in computing use floating-point numbers, so exact equality is rare; comparisons typically use a small tolerance (epsilon).

Applications include teaching coordinate geometry, 2D graphics pipelines, collision detection, pathfinding on grids, and user interface positioning where precise locations are required.

Relation to related concepts: Point2D10 is related to the generic Point2D concept and to specific library types such as Point or QPointF, with the 10 suffix serving as an example identifier rather than a mathematical property.

See also: Point, Cartesian coordinate system, Euclidean distance, vector addition.