Advertisement
Published in:
2024 | OriginalPaper | Chapter
Areas in space, volumes
Author : Paris Pamfilos
Published in: Lectures on Euclidean Geometry - Volume 2
Publisher: Springer Nature Switzerland
Activate our intelligent search to find suitable subject content or patents.
Select sections of text to find matching patents with Artificial Intelligence. powered by
Select sections of text to find additional relevant content using AI-assisted search. powered by
The area of polyhedral surfaces relies on the definitions and the properties of area of plane figures. Thus, the area of the surface of a rectangular parallelepiped with sides equal to α, β and γ is 2(αβ +βγ +γα), the area of the surface of a cube of size δ is 6δ2 and similar calculations give the areas of any polyhedron, by adding the areas of their faces. The area of polyhedra, therefore, is not difficult to calculate and consequently possesses little theoretical interest (see however the exercises below).