cartesian coordinates
Noun
Meaning
Cartesian coordinates pl (plural only)
(algebraic geometry) The coordinates of a point measured as its perpendicular distance to the right of a vertical axis (the y-axis) and its perpendicular distance above a horizontal axis (the x-axis).
cartesian coordinates pl (plural only)
(US) Alternative letter-case form of Cartesian coordinates
Synonyms
Examples
Cartesian coordinates normally have a simple relation to eastings and northings defined on a grid superimposed on the projection.
Generalizations The concept of Cartesian coordinates generalizes to allow axes that are not perpendicular to each other, and/or different units along each axis.
Coordinate systems Cartesian coordinates An east-west opening hyperbola centered at (h,k) has the equation : The major axis runs through the center of the hyperbola and intersects both arms of the hyperbola at the vertices (bend points) of the arms.
Cartesian coordinates An octahedron with edge length 2 can be placed with its center at the origin and its vertices on the coordinate axes; the Cartesian coordinates of the vertices are then : ( ±1, 0, 0 ); : ( 0, ±1, 0 ); : ( 0, 0, ±1 ).
Coordinate conversions The relations between the above coordinate systems, and also Cartesian coordinates are not presented here.
Each element is created and manipulated numerically; essentially using Cartesian coordinates for the placement of key points, and then a mathematical algorithm to connect the dots and define the colors.