In plane geometry, Holditch's theorem states that if a chord of fixed length is allowed to rotate inside a convex closed curve, then the locus of a point on the chord a distance p from one end and a distance q from the other is a closed curve whose enclosed area is less than that of the original curve by π p q {\displaystyle \pi pq} . The theorem was published in 1858 by Rev.
In plane geometry, Holditch's theorem states that if a chord of fixed length is allowed to rotate inside a convex closed curve, then the locus of a point on the chord a distance p from one end and a distance q from the other is a closed curve whose enclosed area is less than that of the original curve by π p q {\displaystyle \pi pq} . The theorem was published in 1858 by Rev.
Source: Wikipedia "Holditch's theorem" · CC BY-SA 4.0
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