Tag Archives: circles

Some relationships involving the triangle incenter and circumcenter

While triangle centers (e.g., incenter, centroid circumcenter) are captivating to the amateur and mathematician alike, their serious investigation is a relatively modern pursuit. A major push in their study began with the great Leonhard Euler and was continued by the … Continue reading

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Relationships between incircles of the “equilateral triangles in a square” system

This note relates to geometric relationships that may be likened to the Japanese temple-tablet problems. The inspiration for discovering and exploring it came from an origami construction presented by the pioneer in that field, Sundara Rao of Kumbhaghoṇa, in the … Continue reading

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Trigonometric tangles-2

We had earlier described our exploration of the spirograph, hypocycloids, epicycloids and related curves. In course of our study of the śaiva tantra-s of the kaula tradition we started thinking about a remarkable piece of imagery mentioned in them. Tantra-s … Continue reading

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