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On the enumerative geometry of triangles

Published online by Cambridge University Press:  26 February 2010

J. A. Tyrrell
J. A. Tyrrell
Affiliation:
King's College, London.
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Extract

A triangle, in the sense of Schubert [1], is an entity in the plane S2 consisting of

(a) an ordered triad of points (P1, P2, P3);

(b) an ordered triad of lines (l1, l2, l3) connected with the points Pi by the incidence relations Pi ⊂ lj (i ≠ j); and

(c) a three base-point net Φof conies with the Pi as base-points.

Type
Research Article
Information
Mathematika , Volume 6 , Issue 2 , December 1959 , pp. 158 - 164
Copyright
Copyright © University College London 1959

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References

1.Schubert, H., “Anzahlgeometrische Behandlung des Dreiecks”, Math. Ann., 17 (1880), 153–212.CrossRefGoogle Scholar
2.Semple, J. G., “The triangle as a geometric variable”, Mathematika, 1 (1954), 80–88.Google Scholar
3.Hodge, W. V. D. and Pedoe, D., Methods of Algebraic Geometry, Vol. II (Cambridge, 1952).Google Scholar