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A first course in projective geometry (1913)

Smart, Edward Howard · London : Macmillian and Co. · leaf 192

An illustration from A first course in projective geometry, 1913, leaf 192
distance is parallel tothe axis. We have then in the parabola: TJie tangent is equally inclined to the axis and to the focaldistance of its point of contact. Cor. 2. If an ellipse and hyperbola are confocal, i.e. havethe same foci, they intersect at right angles at every commonpoint. For the… … Pig. 84. § 3. Prop, {a) The locus of the foot of the focal perpen-dicular on any tangent to a conic is the auxiliary circle. (/>) The product of the focal perpendiculars on a tangentis constant. (c) The diameter parallel to a tangent cuts off from thefocal distances of the point of contact…

Geometry, Projective

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