28 | Beyond Three Dimensions |

As you have seen, the rectangular (also called the

*Cartesian*, after the French mathematician René Descartes) coordinate plane is defined by two number lines that intersect at a right angle. Cartesian three-space or*xyz*space is defined by three number lines that intersect at a single point, such that each line is perpendicular to the plane determined by the other two lines. What about*Cartesian four-space*? Or*five-space*? Or*infinityspace*? These can exist too, but they’re difficult to visualize.IMAGINE THAT!

A system of rectangular coordinates in four dimensions—Cartesian four-space—is defined by four number lines that intersect at a single point. That point, the origin, corresponds to the 0 point on each line. ...

Get *Mastering Technical Mathematics, Third Edition, 3rd Edition* now with O’Reilly online learning.

O’Reilly members experience live online training, plus books, videos, and digital content from 200+ publishers.