English Title
Proof of some of the properties of solid bodies enclosed by planes
Enestrom Number
231
Fuss Index
320
Original Language
Latin
Archive Notes
According to Jacobi, it might have been read to the Berlin Academy on September 9, 1751. According to St. Petersburg Academy records, it was presented to that Academy on April 6, 1752.
Content Summary
This work is a continuation of E230. Euler proves this paper's main theorem by showing that the formula is invariant if vertices are removed and their adjacent faces are replaced with a single face. He also gives a formula to determine the volume of a triangular pyramid given the lengths of six sides/edges of the pyramid in question.
Published as
Journal article
Published Date
1758
Written Date
1751
Original Source Citation
Novi Commentarii academiae scientiarum Petropolitanae, Volume 4, pp. 140-160.
Opera Omnia Citation
Series 1, Volume 26, pp.94-108.
Record Created
2018-09-25
E231en.pdf (208 kB)
