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The Plane Triangle ABC: Intimoscribed Circles, etc.

Published online by Cambridge University Press:  20 January 2009

R.E. Anderson
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§ I. On an infinite series of Triad Circles derived from the inscribed circle. Determination of a direct relation between r and the three radii of the nth triad.

Each of the first triad touches two sides of ABC and the inscribed circle : generally, each circle of the mth triad touches two sides of ABC and also touches one of the circles of the (m – 1)th triad.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 10 , February 1891 , pp. 70 - 82
Copyright
Copyright © Edinburgh Mathematical Society 1891

References

* v. defination infra, Section VI

* These values of l2 and l3 give a short direct proof that the △ is isosceles when l 2=l 3. Thus ca