Miquel's Theorem | ScienceGate

Eight and seven point degenerations of Miquel's Theorem in Laguerre planes

Journal of Geometry ◽

10.1007/s00022-002-1601-y ◽

2002 ◽

Vol 75 (1) ◽

pp. 46-60 ◽

Cited By ~ 1

Author(s):

Olaf Bröcker

Keyword(s):

Laguerre Planes ◽

Miquel’S Theorem

Degenerations of Miquel’s Theorem in elation Laguerre planes

Aequationes Mathematicae ◽

10.1007/s00010-003-2714-6 ◽

2004 ◽

Vol 67 (1-2) ◽

pp. 175-179 ◽

Cited By ~ 2

Author(s):

Olaf Bröcker

Keyword(s):

Laguerre Planes ◽

Miquel’S Theorem

Miquel's Theorem and the Double Six

Proceedings of the London Mathematical Society ◽

10.1112/plms/s2-15.1.340 ◽

1917 ◽

Vol s2-15 (1) ◽

pp. 340-342

Author(s):

E. K. Wakeford

Keyword(s):

Miquel’S Theorem

98.16 A variation of Miquel's theorem and its generalisation

The Mathematical Gazette ◽

10.1017/s002555720000142x ◽

2014 ◽

Vol 98 (542) ◽

pp. 334-339 ◽

Cited By ~ 1

Author(s):

Michael De Villiers

Keyword(s):

Miquel’S Theorem

The octahedron theorem in Minkowski three-space a metric vector space proof of Miquel's theorem in the Laguerre plane

Journal of Geometry ◽

10.1007/bf01227817 ◽

1987 ◽

Vol 30 (2) ◽

pp. 196-202 ◽

Cited By ~ 1

Author(s):

J. A. Lester

Keyword(s):

Vector Space ◽

Laguerre Plane ◽

Miquel’S Theorem ◽

Three Space

On Miquel’s theorem and inversions in normed planes

Monatshefte für Mathematik ◽

10.1007/s00605-009-0153-8 ◽

2009 ◽

Vol 161 (3) ◽

pp. 335-345 ◽

Cited By ~ 4

Author(s):

Margarita Spirova

Keyword(s):

Miquel’S Theorem ◽

Normed Planes

863. On Note 848: Miquel's Theorem

The Mathematical Gazette ◽

10.2307/3604157 ◽

1926 ◽

Vol 13 (185) ◽

pp. 252

Author(s):

E. H. N.

Keyword(s):

Miquel’S Theorem

848. Miquel's Theorem

The Mathematical Gazette ◽

10.2307/3602865 ◽

1926 ◽

Vol 13 (184) ◽

pp. 200

Author(s):

E. H. N.

Keyword(s):

Miquel’S Theorem

Wallace’s theorem and Miquel’s theorem in higher dimensions

Journal of Geometry ◽

10.1007/s00022-009-0016-4 ◽

2009 ◽

Vol 95 (1-2) ◽

pp. 69-72

Author(s):

Hiroshi Maehara ◽

Norihide Tokushige

Keyword(s):

Higher Dimensions ◽

Miquel’S Theorem

A Characterization of Projective Metric Spaces

Canadian Mathematical Bulletin ◽

10.4153/cmb-1986-071-0 ◽

1986 ◽

Vol 29 (4) ◽

pp. 450-455 ◽

Cited By ~ 1

Author(s):

Rolfdieter Frank

Keyword(s):

Quadratic Form ◽

Projective Space ◽

Equivalence Relation ◽

Metric Space ◽

Metric Spaces ◽

Projective Metric ◽

Miquel’S Theorem

AbstractA projective metric space is a pappian projective space together with a quadric and a certain equivalence relation on the pairs of those points which do not belong to the quadric. This equivalence relation is defined by means of the corresponding quadratic form and satisfies a condition which is a projective version of Miquel's theorem. We characterize the projective metric spaces of dimension at least two over fields of order at least 13.