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ABCD angle asymptotes axes axis bisects called centre circle circumscribed coaxal coincide collinear common common points conic conjugate conjugate diameters constant construct conversely corresponding points cross ratio curve determined directrix divide double points draw drawn edition ellipse envelope equal figure five fixed line fixed point foci focus follows four points given conic given line given point harmonic Hence homographic ranges homology imaginary infinity inscribed intersection involution lies line at infinity locus meet opposite orthogonal pair pairs of points parabola parallel passes pencil perpendicular perspective plane points of contact polar pole position projection Prove quadrangle quadrilateral ranges rays reciprocal rectangular hyperbola relation respect right angle segment sides Similarly straight line subtend taken tangents theorem touch transversal triangle variable vertex vertices
Page 373 - Also in three volumes, crown 8vo, price 12s. each. Seventeen Lectures on the Study of Mediaeval and Modern History and kindred subjects, 1867-1884.
Page 376 - Crown 8vo. 7s. 6d. Geography of the Dominion of Canada and Newfoundland. By the same author. With ten maps. 1891. Crown 8vo. 6s. Geography of Africa South of the Zambesi. By the same author. With maps. 1892. Crown 8vo. 7s. 6d. The Claims of the Study of Colonial History upon the attention of the University of Oxford.
Page 370 - WACE. 8vo. 10s. 6d. net Catalogue of the Greek Vases in the Ashmolean Museum. By P. GARDNER. Small folio, linen, with 26 plates. £3 3s. net The Cults of the Greek States. By LR FARNELL.
Page 352 - The nine-point circle of any triangle touches the inscribed and escribed circles. Let ABC be a triangle, / the inscribed circle touching BC in Q, and E the escribed circle opposite to A touching £C in Q'. Bisect BC, CA in M and M...
Page 164 - Two vertices of a triangle self-conjugate for a given conic move on fixed lines ; show that the locus of the third vertex is a conic passing through the intersections of the given lines with the given conic and through the poles of the given lines for the given conic. Ex. 6. A A' are a pair of opposite vertices of a quadrilateral whose sides touch a conic at L, M, N, R.