Intersecting chords theorem
Relates the four line segments created by two intersecting chords within a circle
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.
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Intersecting chords theorem
Relates the four line segments created by two intersecting chords within a circle
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.
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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. For example, for two chords AC and BD intersecting at point S, the following equation holds: | A S | ⋅ | S C | = | B S | ⋅ | S D | {\displaystyle |AS|\cdot |SC|=|BS|\cdot |SD|}
Texto: Wikipédia em inglês, CC BY-SA 4.0. · Imagem: Kmhkmh (CC BY 4.0) ·
