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On the Non-Euclidean Analogues of Tarry's Point
Published online by Cambridge University Press: 20 January 2009
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The point known in elementary geometry by the name of Tarry was first discussed by that writer as the point of concurrence of the perpendiculars respectively from the vertices of the base-triangle to the corresponding sides of Brocards first triangle. Tarry's point is the point of the circumcircle diametrically opposite to Steiner's point, which is the fourth common point of the circumcircle and Steiner's circumellipse
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- Copyright © Edinburgh Mathematical Society 1922
References
* Neuberg, , Mathesis (1) 6 (1886), pp. 5–7.Google Scholar
† Neuberg, ibid. (1) 1 (1881), p. 184; (1) 2 (1882), pp. 42–6.
‡ Berkhan, , Arch. d. Math. u. Phys. (3) 11 (1907), p. 18.Google Scholar
∥ Gabbatt, V., Proc. Camb. Phil. Soc. 21 (1922–1923), pp. 297–362 Google Scholar. References distinguished by an asterisk [thus: (*4.1)] are to that paper.
* Cayley, , Liouville, 9 (1844), p. 285=Papers, 1, p. 183.Google Scholar
† A case of a theorem due to Grassmann and Clebsch; v. (* 17.1).
‡ The symbol q. signifies with raped to.
* A case of a theorem due to Grasamann and Clebseh; v. (* 17.1).
* The euclidean analogue is due to Neuberg, , Mathesis (1) 5 (1885), p. 208.Google Scholar
† Cayley, , loc. cit. (2.2).Google Scholar
* Neuberg, , Mathesis (1) 3 (1883), p. 144 Google Scholar; ibid. (1) 5 (1885), p. 208; ibid. (1) 6 (1886), p. 5. Cf. the remark Encyk d. math. Wiss. III. AB 10, p. 1266, II. 2–7.Google Scholar
† The conic s 1 specified in (3.41) becomes the Steiner circumellipse of the base-triangle.
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