Reflections in triangle geometry - Antreas P. Hatzipolakis and Paul Yiu This paper is a survey of results on reflections in triangle geometry. We...
Trilinear polars of Brocardians - Francisco Javier Garcia Capitan We study the trilinear polars of the Brocardians of a point, and investigate...
A sequence of triangles and geometric inequalities - Dan Marinescu, Mihai Monea, Mihai Opincariu and Marian Stroe We construct a sequence of...
Pythagorean triangles with square of perimeter equal to an integer multiple of area - John F. Goehl We determine all Pythagorean triangles with...
On the construction of a triangle from the feet of its angle bisectors - Alexey V. Ustinov We give simple examples of triangles not constructible...
On the possibility of trigonometric proofs of the Pythagorean theorem - Jason Zimba The identity cos^2x + sin^2x = 1 can be derived...
Ten concurrent Euler lines - Nikolai Ivanov Beluhov Let F_1 and F_2 denote the Fermat-Toricelli points of a given triangle ABC. We prove that the...
Some triangle centers associated with the tritangent circles - Nikolas Dergiades and Juan Carlos Salazar We investigate two interesting special...
Conic homographies and bitangent pencils - Paris Pamfilos Conic homographies are homographies of the projective plane preserving a given conic....
A simple barycentric coordinates formula - Nikolaos Dergiades We establish a simple formula for the barycentric coordinates with respect to a...
On the construction of regular polygons and generalized Napoleon vertices - Dimitris Vartziotis and Joachim Wipper An algebraic foundation for...
Class preserving dissections of convex quadrilaterals - Dan Ismailescu and Adam Vojdany Given a convex quadrilateral Q having a certain property...
On three circles - David Graham Searby The classical Three-Circle Problem of Apollonius requires the construction of a fourth circle tangent to...
Circle chains inside a circular segment - Giovanni Lucca We consider a generic circles chain that can be drawn inside a circular segment and we...
A family of quartics associated with a triangle - Peter Yff It is known that the envelope of the family of pedal lines (Simson or Wallace lines)...
An angle bisector parallel applied to triangle construction - Harold Connelly and Beata Randrianantoanina We prove a theorem describing a line...
On trigonometric proofs of the Steiner-Lehmus theorem - Robert Olah-Gal and Jozsef Sandor We offer a survey of some lesser known or new...
The symmedian point and concurrent antiparallel images - Shao-Cheng Liu In this note, we study the condition for concurrency of the GP lines of...
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