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A first course in projective geometry (1913)

Smart, Edward Howard · London : Macmillian and Co. · leaf 270

An illustration from A first course in projective geometry, 1913, leaf 270
r imaginary points.The conic is correspondingly a hyperbola, parabola or ellipse. In the first case, the lines joining the vertex to the pointswhere the cross-axis cuts the circle give the directions of theasymptotes of the hyperbola. P.G. Q 242 PROJECTIVE GEOMETRY In the second case, the… … Fig. 122. It should be noticed that if the conic is a rectangular hyper-bola, the asymptotes are at right angles, and the cross-axis isa diameter of the circle of construction of § 4. Figs. 122 and 123 illustrate the first two of thesecases. In these figures V and V are the vertices of two…

Geometry, Projective

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