Difference between revisions of "Max's Theorem"
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'''Max's Theorem''' is a relationship that holds between circles and chords that lie on the circle. | '''Max's Theorem''' is a relationship that holds between circles and chords that lie on the circle. | ||
| − | + | = Theorem = | |
The theorem states that for any given circle, the endpoints of a chord that lies on the circle are equidistant from the center of the circle. For example, given a circle <math>O</math>, for a chord <math>AB</math> on the circle, <math>\overline {AO} = \overline {BO}</math>. | The theorem states that for any given circle, the endpoints of a chord that lies on the circle are equidistant from the center of the circle. For example, given a circle <math>O</math>, for a chord <math>AB</math> on the circle, <math>\overline {AO} = \overline {BO}</math>. | ||
== Proof == | == Proof == | ||
Revision as of 19:46, 29 December 2024
Max's Theorem is a relationship that holds between circles and chords that lie on the circle.
Theorem
The theorem states that for any given circle, the endpoints of a chord that lies on the circle are equidistant from the center of the circle. For example, given a circle 
, for a chord 
on the circle, 
.
