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Intersecting chords theorem

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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Intersecting chords theorem

Nodes25
Edges24
Triples34
Avg. degree1.92
Density0.08
Components1

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Intersecting chords theorem

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related to References · 28
Intersecting chords theorem → Auflage, Bibliographisches Institut, Brockhaus, Bruce Shawyer, Elementargeometrie, Explorations, Geometry, German, ISBN, Jan, JSTOR, Lock-gray-alt-2, Lock-green, Lock-red-alt-2, Mannheim, Mathematics, Mathematik, No, Paderborn, Paul Glaister
related to External links · 6
Intersecting chords theorem → Chord, Chords Theorem Archived, Eric, MathWorld, Two, Wayback Machine

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theorem displaystyle intersecting chords chord two circle point sc bs sd line segments equation cdot isbn triangle angle center power

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SubjectPredicateObjectConfidenceSrc
Intersecting chords theoremrelated to External linksChords Theorem Archived0.60section
Intersecting chords theoremrelated to External linksWayback Machine0.60section
Intersecting chords theoremrelated to External linksEric0.60section
Intersecting chords theoremrelated to External linksChord0.60section
Intersecting chords theoremrelated to External linksMathWorld0.60section
Intersecting chords theoremrelated to External linksTwo0.60section
Intersecting chords theoremrelated to ReferencesPaul Glaister0.60section
Intersecting chords theoremrelated to ReferencesYears0.60section
Intersecting chords theoremrelated to ReferencesMathematics0.60section
Intersecting chords theoremrelated to ReferencesSchool0.60section
Intersecting chords theoremrelated to ReferencesVol0.60section
Intersecting chords theoremrelated to ReferencesNo0.60section

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