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In Euclidean geometry, the intersecting chords theorem, or just the chord theorem, is a statement that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal. It is Proposition 35 of Book 3 of Euclid's Elements.
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theorem displaystyle intersecting chords chord two circle point sc bs sd line segments equation cdot isbn triangle angle center power
TTTA extracted structured relationships around Intersecting chords theorem. The table shows each extracted connection, where it came from and its confidence.
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The concept neighborhoods around Intersecting chords theorem bring nearby vocabulary together. In this analysis, examples include Intersecting, Theorem and Two. Use the clusters to find adjacent concepts and terminology that may deserve separate research.
For Intersecting chords theorem, one of the stronger structural bridges in this analysis connects Intersecting chords theorem with Related concepts. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.
TTTA analyzes the structure around Intersecting chords theorem to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Products & Measurement, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.
Source: Wikipedia — Intersecting chords theorem · EN edition · Analysis: TopicsToTalkAbout