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Quadrilateral
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#	Item
251	45rd IMO[removed]Problem 1. Let ABC be an acute-angled triangle with AB 6= AC. The circle with diameter BC intersects the sides AB and AC at M and N respectively. Denote by O the midpoint of the side BC. The bisectors of t Add to Reading List Source URL: media.hotnews.ro Language: English - Date: 2014-05-19 06:32:15 Triangle geometry Cyclic quadrilateral Triangle Circumscribed circle Circle Tangential quadrilateral Bicentric quadrilateral Geometry Quadrilaterals Triangles
252	Twenty-fifth International Olympiad, [removed]Prove that 0 ≤ yz + zx + xy − 2xyz ≤ 7/27, where x, y and z are non-negative real numbers for which x + y + z = [removed]Find one pair of positive integers a and Add to Reading List Source URL: media.hotnews.ro Language: English - Date: 2014-05-19 06:22:02 Curves Elementary geometry Conic sections Differential geometry Circle Trigonometric functions Quadrilateral Line Tangent Geometry Mathematics Analytic geometry
253	Twenty-sixth International Olympiad, [removed]A circle has center on the side AB of the cyclic quadrilateral ABCD. The other three sides are tangent to the circle. Prove that AD + BC = AB[removed]Let n and k be give Add to Reading List Source URL: media.hotnews.ro Language: English - Date: 2014-05-19 06:22:07 Polynomial GCD test Number theory Mathematics Coprime
254	39th International Mathematical Olympiad Taipei, Taiwan Day I July 15, [removed]In the convex quadrilateral ABCD, the diagonals AC and BD are perpendicular Add to Reading List Source URL: media.hotnews.ro Language: English - Date: 2014-05-19 06:27:33 Euclidean geometry Triangle geometry Cyclic quadrilateral Incircle and excircles of a triangle Triangle Integer Tangential quadrilateral Bicentric quadrilateral Geometry Quadrilaterals Mathematics
255	THINKING THE NICENE CREED: Death and Resurrection New Life in Christ Add to Reading List Source URL: www.scotland.anglican.org Language: English - Date: 2014-02-13 06:23:53 Book of Concord Anglican sacraments Chalcedonianism Trinitarianism Nicene Creed Creed Chicago-Lambeth Quadrilateral Mass Christian Church Christianity Christian theology Religion
256	30th International Mathematical Olympiad Braunschweig, Germany Day I 1. Prove that the set {1, 2, . . . , 1989} can be expressed as the disjoint union of subsets Ai (i = 1, 2, . . . , 117) such that: Add to Reading List Source URL: media.hotnews.ro Language: English - Date: 2014-05-19 06:22:31 Triangles Quadrilateral Triangle Integer sequences Combinatorics Geometry Mathematics Triangle geometry
257	PDF Document Add to Reading List Source URL: imo-official.org Language: English - Date: 2012-07-21 05:58:10 Circles Circumscribed circle Triangle Incircle and excircles of a triangle Cyclic quadrilateral Altitude Tangent Fermat point Nine-point circle Geometry Triangle geometry Triangles
258	On the I--Centers of the Triangle Add to Reading List Source URL: digital.library.okstate.edu Language: English - Date: 2009-01-09 16:55:06 Quadrilaterals Triangles Triangle Incircle and excircles of a triangle Rectangle Circumscribed circle Inscribed figure Nine-point circle Cyclic quadrilateral Geometry Triangle geometry Circles
259	Hosur, Krishnagiri Special Investment Region PAGE \| Add to Reading List Source URL: deity.gov.in Language: English - Date: 2013-11-05 06:48:15 Krishnagiri Golden Quadrilateral National Highway 7 States and territories of India Rayakottai Sriperumbudur Transport in Krishnagiri Highways of Tamil Nadu Indian National Highways Tamil Nadu Hosur
260	DOC Document Add to Reading List Source URL: www.doe.virginia.gov Language: English - Date: 2013-08-22 11:11:23 Elementary geometry Angle Circles Triangle Perpendicular Bisection Altitude Pythagorean theorem Quadrilateral Geometry Triangles Triangle geometry

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