conjugate diameters

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If l is a diameter of a central conic, the midpoints of the chords parallel to l lie on a straight line l′, which is also a diameter. It can be shown that the midpoints of the chords parallel to l′ lie on l. Then l and l′ are conjugate diameters. In the case of a circle, conjugate diameters are perpendicular.

Subjects: Mathematics.

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