1893•Proceedings of the Edinburgh Mathematical SocietyOpen access

On a problem in tangency

G. E. Crawford

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Abstract

Let AOB, DOE be any two intersecting chords of a circle. Required to inscribe a circle in one of the compartments, as BOE. Draw OF bisecting the angle BOE and let it cut the circle in F. Draw FM perpendicular to AB.

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Let AOB, DOE be any two intersecting chords of a circle. Required to inscribe a circle in one of the compartments, as BOE. Draw OF bisecting the angle BOE and let it cut the circle in F. Draw FM perpendicular to AB.

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Let AOB, DOE be any two intersecting chords of a circle. Required to inscribe a circle in one of the compartments, as BOE. Draw OF bisecting the angle BOE and let it cut the circle in F. Draw FM perpendicular to AB.

Key concepts: Tangent, Perpendicular, Great circle, Geometry, Mathematics, Combinatorics

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