English Title

An easy solution of a problem, in which a circle is searched for, given three circles tangent to it

Authors

Leonhard Euler

Enestrom Number

648

Fuss Index

311

Original Language

Latin

Content Summary

Euler gives us three points, A, B, and C, the distances between them, and that they are centers of circles of radius a, b, and c respectively. He finds a point O, the center of a circle, and the radius x of that circle, such that the circle is tangent to each of the three given circles.

Published as

Journal article

Published Date

1790

Written Date

1779

Original Source Citation

Nova Acta Academiae Scientiarum Imperialis Petropolitanae, Volume 6, pp. 95-101.

Opera Omnia Citation

Series 1, Volume 26, pp.270-275.

Record Created

2018-09-25

Included in

Mathematics Commons

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