Authors

Leonhard Euler

Enestrom Number

573

Fuss Index

367

Original Language

Latin

Published as

Journal article

Published Date

1784

Written Date

1775

Content Summary

The main theorem is as follows: If circle DEF touches on its inside two points F and G on two circles EGH and FGH, whose diameters added together equal the diameter of the largest circle DEF, and if chord EF is drawn between the contact points E and F, it will pass through the point G, the intersection of the two smaller circles, and also the sum of arcs EG and FG will be equal to the arc EF.

Original Source Citation

Acta Academiae Scientiarum Imperialis Petropolitanae, Volume 1781: I, pp. 249-258.

Opera Omnia Citation

Series 1, Volume 26, pp.249-257.

Record Created

2018-09-25

Included in

Mathematics Commons

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