Kartesische Koordinaten in Polare Koordinaten umrechnen | Bestimmung im Koordinatensystem

lernflix.at offers individual online tutoring in mathematics. For more information, visit https://lernflix.at A Cartesian coordinate system is an orthogonal coordinate system. In two- and three-dimensional space, it is the most commonly used coordinate system because many geometrical phenomena can be described clearly and concisely within it. The two directional axes are orthogonal to each other, i.e., they intersect at a 90° angle. The coordinate lines are straight lines at a constant distance from each other. Assuming right-handedness in mathematics, the horizontal axis is called the abscissa axis or right-handed axis. The vertical axis is called the ordinate axis or vertical axis. In mathematics, the variables x and y are often used to denote coordinates, for example, when straight lines or curves are described by equations. In this case, one speaks of the x-axis instead of the abscissa axis and the y-axis instead of the ordinate axis. The x- and y-values ​​of a point are called the abscissa and ordinate, respectively. Sometimes the coordinate axes are also abbreviated to abscissa or ordinate. In mathematics and geodesy, a polar coordinate system (also known as a circular coordinate system) is a two-dimensional coordinate system in which each point in a plane is defined by its distance from a given fixed point and its angle to a given direction. In mathematics, the angular coordinate is measured in the mathematically positive sense of rotation (counterclockwise). If a Cartesian coordinate system is used at the same time, its coordinate origin usually serves as the pole and the x-axis as the polar axis. The angular coordinate is therefore measured from the x-axis in the direction of the y-axis. In geodesy and navigation, the azimuth is measured clockwise from north.