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Determination of the radii of the circles which touch three given circles

Published online by Cambridge University Press:  20 January 2009

Alex Holm
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Let the points A, B, C be the centres of three given circles, whose radii are a, b, c; and let d, e, f be the distances BC, CA, AB between the centres (Fig. 41). It is required to find the radii of the circles which touch the circles A, B, C.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 23 , February 1904 , pp. 75 - 79
Copyright
Copyright © Edinburgh Mathematical Society 1904

References

* Cf. Hutton's Math. Dict. pp. 129, 130, or Leslie's Geometry, 1811, pp. 434–437.

† For Vieta's solution see Leybourn's Math. Quest., Vol. IV., pp. 262–264.

‡ Cf. Chasles' Géométrie Supérieure, XII. éd., pp. 498–501.