Cartesian Space

Cartesian coordinate system with a circle of radius 2 centered at the origin marked in red.

Cartesian space. That is a theory of space and time that consistently incorporates descartes various physical and metaphysical concepts. A cartesian frame o e 1 e n displaystyle o e 1 dots e n allows defining cartesian coordinates for both e and e displaystyle overrightarrow e in the following way. Bodies swirl like leaves in a whirlwind in vortices as great as that in which the planets sweep around the sun and as small as that of tiny spinning globes of light. Wait till you see this word of the day quiz.

These coordinates are equal up to sign to distances from the point to n mutually perpendicular hyperplanes. The three axes intersect at the point called the origin. You can imagine the origin being the point where the walls in the corner of a room meet the floor. According to descartes the material universe consists of an indefinitely large plenum of infinitely divisible matter which is separated into the subtle matter of space and the denser matter of bodies by a determinate quantity of motion that is imparted and conserved by god.

In three dimensional space the cartesian coordinate system is based on three mutually perpendicular coordinate axes. Sometimes one is interested in allowing n to take other values in which case one wants a product in some category that might not be the cartesian product on underlying sets. Cartesian space definition euclidean space. Pr i 59 space is the individual for the supersubstantivalist and thus ascribing supersubstantivalism to descartes violates his nominalism pr ii 8.

A cartesian space is canonically a vector space over the field of real number s. Cartesian three space also called xyz space has a third axis oriented at right angles to the xy plane. The x axis the y axis and the z axis illustrated below. This axis usually called the z axis passes through the origin of the xy plane.

Whereas space is a genus or species concept for descartes which is a universal. Positions or coordinates are determined according to the east west x north south y and up down z displacements from the origin.