Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-02T23:20:20.776Z Has data issue: false hasContentIssue false

On a Certain Group of Circles

Published online by Cambridge University Press:  03 November 2016

Y. Sawayama*
Affiliation:
Central Military School for Boys, Tokyo

Extract

Describe a circle ABC (Figs. 1 and 2). Draw two chords AB, BC intersecting within it. Describe eight circles (a, a′ b, b′, etc.), each of which touches ABC and the chords AD, BC; construct a triangle by joining any three of the points of intersections of ABC and the two chords; then the chords of contact and the line of centres of two circles taken in suitable pairs out of the eight circles are concurrent, the point of concurrence being equidistant from the three sides of the triangle.

Type
Research Article
Copyright
Copyright © Mathematical Association 1910

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)