English Title

Proof of some of the properties of solid bodies enclosed by planes

Authors

Leonhard Euler

Enestrom Number

231

Fuss Index

320

Original Language

Latin

Published as

Journal article

Published Date

1758

Written Date

1751

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 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.

Record Created

2018-09-25

Included in

Mathematics Commons

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