English Title
Elements of the doctrine of solids
Enestrom Number
230
Fuss Index
318
Original Language
Latin
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.
Published as
Journal article
Published Date
1758
Written Date
1750
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
