Authors

Leonhard Euler

Enestrom Number

619

Fuss Index

626

Original Language

Latin

Published as

Journal article

Published Date

1788

Written Date

1775

Content Summary

Euler finds that, in the figure of the Earth determined by the gravity towards its center and the centrifugal force arising from its rotation, the ratio of the diameter of the equator to the axis is 577:576. He says that the discrepancy between this ratio and that derived from geodetic measurements shows that, in addition to the gravity to the center of the earth and the centrifugal force, the earth must also be subject to a lateral force that results from universal gravitation. Euler defines universal gravitation in terms of its required mathematical properties. He then says that if the entire earth were fluid, its surface could never arrive at an equilibrium state. (Based on Eric J. Aiton's introduction to Opera Omnia Series 2, Volume 31.)

Original Source Citation

Nova Acta Academiae Scientiarum Imperialis Petropolitanae, Volume 2, pp. 121-130.

Opera Omnia Citation

Series 2, Volume 31, pp.349-358.

Record Created

2018-09-25

Included in

Mathematics Commons

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