The equal incircles theorem is a result in geometry that derives from a Japanese Sangaku problem. Given a series of rays drawn from a point to a line so that the incircles of the triangles formed by adjacent rays and the base line are all equal, the theorem states that the incircles of the triangles formed by every other ray, every third ray, and so on, are also equal to one another. Because the result holds regardless of the angle of the first ray, it is understood to belong properly to analysis rather than pure geometry, since it relies on the hyperbolic sine function to describe the spacing of the rays. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
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Statement FormCharacterization Theorem 1 Connections
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Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.
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Source Equal incircles theorem (Wikipedia)
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1. Equal incircles theorem (Wikipedia)
In Branch: Geometry, Lead sentenceQuote, In Branch: Geometry, Lead sentence
In geometry, the equal incircles theorem derives from a Japanese Sangaku, and pertains to the following construction: a series of
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