863. On Note 848: Miquel's Theorem

1926 ◽  
Vol 13 (185) ◽  
pp. 252
Author(s):  
E. H. N.
Keyword(s):  
Miquel’S Theorem

Miquel's Theorem and the Double Six

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

2014 ◽  
Vol 98 (542) ◽  
pp. 334-339 ◽  
Author(s):  
Michael De Villiers
Keyword(s):  
Miquel’S Theorem

848. Miquel's Theorem

1926 ◽  
Vol 13 (184) ◽  
pp. 200
Author(s):  
E. H. N.
Keyword(s):  
Miquel’S Theorem

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

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

1986 ◽  
Vol 29 (4) ◽  
pp. 450-455 ◽  
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.

scholarly journals Pengembangan Titik Miquel Dalam Pada Sebarang Segilima

2021 ◽  
Vol 3 (2) ◽  
pp. 278-285
Author(s):  
Zukrianto Zukrianto ◽  
◽  
Okta Dinata ◽  
Mohammad Soleh ◽  
Ade Novia Rahma ◽  
...  
Keyword(s):  
Simple Concept ◽  
Miquel’S Theorem

The Miquel theorem is a theorem that applies to a triangle, namely the inner Miquel theorem and the outer Miquel theorem triangles—then developed on the quadrilateral. As of this writing, it is developed in any of the pentagons. Miquel's theorem development in any pentagon is divided into two cases, namely in the convex and non-convex pentagons. This process begins with the construction of the inner Miquel point in any triangle using the GeoGebra application. While proving the internal Miquel theorem for any pentagon uses a simple concept, namely the concept of circles and cyclic rectangles so that five circles intersect at a point called the inner Miquel point at any pentagon.

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