Authors

Leonhard Euler

Enestrom Number

601

Fuss Index

303

Original Language

Latin

Published as

Journal article

Published Date

1786

Written Date

1775

Content Summary

Euler begins with the fact that, given four points A, B, C, D in the plane, they can either form a quadrilateral or a triangle with the fourth point on the interior, and that knowing which of these and knowing five of the six distances between points, the sixth distance is determined. He then uses this to find relations among the angles, such as sin(A). Euler does the same thing for cyclic quadrilaterals.

Original Source Citation

Acta Academiae Scientiarum Imperialis Petropolitanae, Volume 1782: I, pp. 3-18.

Opera Omnia Citation

Series 1, Volume 26, pp.258-269.

Record Created

2018-09-25

Included in

Mathematics Commons

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