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Incircle and excircles of a triangle
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31	41st IMO[removed]Problem 1. AB is tangent to the circles CAM N and N M BD. M lies between C and D on the line CD, and CD is parallel to AB. The chords N A and CM meet at P ; the chords N B and M D meet at Q. The rays CA an Add to Reading List Source URL: media.hotnews.ro Language: English - Date: 2014-05-19 06:27:43 Incircle and excircles of a triangle Circle Altitude Triangle Geometry Triangle geometry Triangles
32	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
33	Twenty-second International Olympiad, [removed]P is a point inside a given triangle ABC.D, E, F are the feet of the perpendiculars from P to the lines BC, CA, AB respectively. Find all P for which CA AB BC Add to Reading List Source URL: media.hotnews.ro Language: English - Date: 2014-05-19 06:21:48 Triangles Circles Circumscribed circle Incircle and excircles of a triangle Triangle Function Cubic plane curve Binomial coefficient Geometry Mathematics Triangle geometry
34	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
35	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
36	A Generalization of the Nagel Point1 Avni Pllana In Fig. 1 is shown an arbitrary triangle ABC. Let angle(CAY) = angle(BAZ) = theta , angle(ABZ) = angle(CBX) = phi , angle(BCX) = angle(ACY) = psi . Points Pa, Pb, Pc repre Add to Reading List Source URL: trisectlimacon.webs.com Language: English Incircle and excircles of a triangle Triangle center Euler line Circumscribed circle Triangle De Longchamps point Barycentric coordinate system Cubic plane curve Pedal triangle Geometry Triangle geometry Triangles
37	Three points on incircle Avni Pllana Problem: Let ABC be an arbitrary triangle. Construct points D, E, F on the incircle of triangle ABC, such that triples {C, D, E}, {B, E, F}, {A, F, D} are collinear respectively. Add to Reading List Source URL: trisectlimacon.webs.com Language: English Incircle and excircles of a triangle Triangles Conic sections Quadrilaterals Triangle Tangential quadrilateral Nine-point circle Geometry Triangle geometry Circles
38	All points lead to the symmedian point1 Avni Pllana Let ABC be an arbitrary triangle and P = (u : v : w) an arbitray point, as shown in Fig. 1. Pba Add to Reading List Source URL: trisectlimacon.webs.com Language: English Circles Affine geometry Linear algebra Incircle and excircles of a triangle Symmedian Triangle Barycentric coordinate system Circumscribed circle Brocard points Geometry Triangle geometry Triangles
39	Some results on tangential triangle Avni Pllana Let AtBtCt be the tangential triangle of triangle ABC, as shown in Fig. 1. B1 Add to Reading List Source URL: trisectlimacon.webs.com Language: English Circles Incircle and excircles of a triangle Circumscribed circle Triangle Nine-point circle Euler line Barycentric coordinate system Altitude Medial triangle Geometry Triangle geometry Triangles
40	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

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