# An Elementary Treatise on Pure Geometry with Numerous Examples

Clarendon Press, 1905 - Geometry - 366 pages

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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 331 - If a straight line touch a circle, and from the point of contact a chord be drawn, the angles which this chord makes with the tangent are equal to the angles in the alternate segments.
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.
Page 303 - To find the locus of the centre of a circle which passes through a given point and touches a given straight line.