Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-24T13:58:52.023Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Published online by Cambridge University Press:  20 January 2009

Alex Holm
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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.