Abstract
This chapter discusses real Euclidean space. The concept of a Euclidean space encompasses Euclidean plane and the three-dimensional space of Euclidean geometry as spaces of dimensions 2 and 3, respectively. The term Euclidean distinguishes these spaces from other types of spaces considered in modern geometry. Euclidean spaces also generalize to higher dimensions. From the modern viewpoint, there is essentially only one Euclidean space of each dimension. With Cartesian coordinates, it is modeled by the real coordinate space (Rn) of the same dimension. In dimension one, this is the real line; in dimension two, it is the Cartesian plane; and in higher dimensions, it is a coordinate space with three or more real number coordinates.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
