Proof of some of the properties of solid bodies enclosed by planes
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.
This paper is a continuation of E230. Here, Euler proves the main theorem (of E230) 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.
Original Source Citation
Novi Commentarii academiae scientiarum Petropolitanae, Volume 4, pp. 140-160.
Opera Omnia Citation
Series 1, Volume 26, pp.94-108.