English Title

About geometry and spheres

Authors

Leonhard Euler

Catalog Number

ENE749

Enestrom Number

749

Fuss Index

309

Original Language

Latin

Published as

Journal article

Published Date

1815

Written Date

1780

Content Summary

This paper is about certain geometry and spheres, the main theorem being "In whatever triangle ABC, straight lines Aa, Bb, Cc are drawn from the angles to the opposite sides so that they all meet at some point O, then they will always have the following property AO/OaBO/ObCO/Oc = AO/Oa + BO/Ob + CO/Oc + 2."

Original Source Citation

Mémoires de l'académie des sciences de St.-Petersbourg, Volume 5, pp. 96-114.

Opera Omnia Citation

Series 1, Volume 26, pp.344-358.

Record Created

2018-09-25

Included in

Mathematics Commons

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