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Circumscribed circle
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61	Generalized Simson Line – Simplified Approach Avni Pllana A remarkable generalization of Simson Line was done by Miguel de Guzmán1’2. Next we present a simplified approach. Let ABC be an arbitrary triangle, and P an Add to Reading List Source URL: trisectlimacon.webs.com Language: English Medial triangle Ellipse Simson line Circumscribed circle Isotomic conjugate Projection Triangle Centroid Incircle and excircles of a triangle Geometry Triangle geometry Circumconic and inconic
62	Incenter and Centroid Avni Pllana Let ABC be an arbitrary triangle as shown in Fig. 1. Gb Add to Reading List Source URL: trisectlimacon.webs.com Language: English Circumscribed circle Circumconic and inconic Isogonal conjugate Triangle Equilateral triangle Nine-point circle Isotomic conjugate Euler line Trigonometric functions Geometry Triangle geometry Incircle and excircles of a triangle
63	Deltoid as locus of orthopoles Avni Pllana Let ABC be an arbitrary triangle, and let P be an arbitrary point on the circumcircle of triangle ABC, see Fig. 1. Add to Reading List Source URL: trisectlimacon.webs.com Language: English Circumscribed circle Nine-point circle Triangle Circle Tangent Deltoid curve Medial triangle Geometry Triangle geometry Simson line
64	Eagle Theorem Avni Pllana Let ABC be an arbitrary triangle, and A1B1C1 its anticomplementary triangle1 as shown in Fig. 1. Add to Reading List Source URL: trisectlimacon.webs.com Language: English Affine geometry Circles Conic sections Isogonal conjugate Incircle and excircles of a triangle Circumconic and inconic Isotomic conjugate Circumscribed circle Nagel point Geometry Triangle geometry Triangles
65	Formulas For Triangles #27 of Gottschalk’s Gestalts A Series Illustrating Innovative Forms of the Organization & Exposition of Mathematics Add to Reading List Source URL: gottschalksgestalts.org Language: English - Date: 2005-01-23 22:21:07 Spherical law of cosines Trigonometric functions Law of tangents Law of cosines Law of sines Sine Triangle Hyperbolic law of cosines Circumscribed circle Geometry Trigonometry Mathematics
66	First Round : February 18, 2006 Second Round: April 22, 2006 at The University of Alabama GEOMETRY EXAMINATION Construction of this test directed by Add to Reading List Source URL: mcis.jsu.edu Language: English - Date: 2006-03-14 14:11:10 Circles Euclidean plane geometry Trigonometry Right triangle Area Triangle Trigonometric functions Circumscribed circle Golden ratio Geometry Triangles Triangle geometry
67	First Round : February 23, 2013 Second Round: April 6, 2013 at The University of Alabama GEOMETRY EXAMINATION Construction of this test directed by Add to Reading List Source URL: mcis.jsu.edu Language: English - Date: 2013-02-28 09:58:38 Quadrilaterals Circles Euclidean plane geometry Triangle Area Trapezoid Circumscribed circle Right triangle Polygon Geometry Triangles Triangle geometry
68	First Round : March 26, 2011 Second Round: April 23, 2011 at The University of Alabama GEOMETRY EXAMINATION Construction of this test directed by Add to Reading List Source URL: mcis.jsu.edu Language: English - Date: 2011-04-12 11:34:04 Trigonometry Circles Euclidean plane geometry Right triangle Triangle Area Circumscribed circle Trigonometric functions Sine Geometry Triangles Triangle geometry
69	53-rd Mathematical Olympiad in Poland Final Round, April 3–4, 2002 First Day 1. Determine all positive integers a, b, c such that the numbers a2 + 1 and b2 + 1 are prime and the following equality (a2 + 1)(b2 + 1) = c2 Add to Reading List Source URL: www.mimuw.edu.pl Language: English - Date: 2002-04-19 06:41:22 Triangle geometry Number theory Circles Circumscribed circle Triangle Coprime Geometry Triangles Geometric shapes
70	First Round : March 29, 2008 Second Round: April 26, 2008 at The University of Alabama GEOMETRY EXAMINATION Construction of this test directed by Add to Reading List Source URL: mcis.jsu.edu Language: English - Date: 2008-03-31 14:42:18 Trigonometry Circles Conic sections Area Triangle Right triangle Trigonometric functions Trapezoid Circumscribed circle Geometry Triangles Triangle geometry

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