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Projective geometry (1910)

Veblen, Oswald, 1880-1960, Young, John Wesley, 1879-1932 · Boston, New York [etc.] Ginn and Company · leaf 139

An illustration from Projective geometry, 1910, leaf 139
ethod was fully developed by Ponceletand Gergonne in the early part of the last century in connection with the principleof duality. 124 CONIC SECTIONS [Chap. V Theoeem 18. On any line not a tangent to a given conic the pairsof conjugate points are pairs of an involution. If the line meets theconic… … Fig. 60 Definition. The pairing of the points and lines of a plane broughtabout by associating with every point its polar and with every line itspole with respect to a given conic in the plane is called a polar system. EXERCISES 1. If in a polar system two points are conjugate to a third point A,…

Geometry, Projective

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