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CHAPTER III: CONICS AND QUADRICS - OCW UPM

CHAPTER III: CONICS AND QUADRICS - OCW UPM

CHAPTER III: CONICS AND QUADRICS - OCW UPM

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4.4.3 Diameters of a quadric<br />

AFFINE <strong>AND</strong> PROJECTIVE GEOMETRY, E. Rosado & S.L. Rueda<br />

Definition. We call diameter of a quadric Q to every line that contains the<br />

center of Q.<br />

Definition. We call diametral plane of a quadric Q to the planes that contain<br />

the center of Q.<br />

Definition. Two diameters D and D ′ are said conjugated if their improper<br />

points are conjugated.<br />

Definition. We call diametral polar plane of a diameter D to the polar plane<br />

of the improper point of D.

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