English Title

Elements of the doctrine of solids

Authors

Leonhard Euler

Enestrom Number

230

Fuss Index

318

Original Language

Latin

Published as

Journal article

Published Date

1758

Written Date

1750

Content Summary

Euler presents several results relating the number of plane angles of a solid to the number of faces, edges, and solid angles. The main theorem is that in all solid bodies confined by planes, the sum of the number of solid angles and the number of faces is two less than the number of edges. Euler also classifies polyhedra by the number of solid angles they have.

Original Source Citation

Novi Commentarii academiae scientiarum Petropolitanae, Volume 4, pp. 109-140.

Opera Omnia Citation

Series 1, Volume 26, pp.71-93.

Record Created

2018-09-25

Included in

Mathematics Commons

Share

COinS