On the existence of triangles with given circumcircle, incircle, and one additional element - Victor Oxman We give necesssary and sufficient...
On the complement of the Schiffler point - Khoa Lu Nguyen Consider a triangle ABC with excircles (I_a), (I_b), (I_c), tangent to the nine-point...
Applications of homogeneous functions to geometric inequalities and identities in the euclidean plane - Wladimir G. Boskoff and Bogdan D. Suceava...
On an Erdos inscribed triangle inequality - Ricardo M. Torrejon A comparison between the area of a triangle and that of an inscribed triangle is...
Division of a segment in the golden section with ruler and rusty compass - Kurt Hofstetter We give a simple 5-step division of a segment into...
Some more Archimedean circles in the arbelos - Frank Power We construct 4 circles in the arbelos which are congruent to the Archimedean twin...
Another proof of van Lamoen's theorem and its converse - Minh Ha Nguyen We give a proof of Floor van Lamoen's theorem and its converse on the...
Construction of Brahmagupta n-gons - K. R. S. Sastry The Indian mathematician Brahmagupta's contributions to mathematics and astronomy are well...
On the geometry of equilateral triangles - Jozsef Sandor By studying the distances of a point to the sides, respectively the vertices of an...
Circles and triangle centers associated with the Lucas circles - Peter J. C. Moses The Lucas circles of a triangle are the three circles mutually...
Elegant geometric constructions - Paul Yiu With the availability of computer software on dynamic geometry, beautiful and accurate geometric...
Some Brocard-like points of a triangle - Sadi Abu-Saymeh and Mowaffaq Hajja In this note, we prove that for every triangle ABC, there exists a...
A maximal property of cyclic quadrilaterals - Antreas Varverakis We give a very simple proof of the well known fact that among all quadrilaterals...
Triangle-conic porism - Aad Goddijn and Floor van Lamoen We investigate, for a given triangle, inscribed triangles whose sides are tangent to a...
A simple construction of a triangle from its centroid, incenter, and a vertex - Eric Danneels We give a simple ruler and compass construction of...
On a problem regarding the n-sectors of a triangle - Bart De Bruyn Let Delta be a triangle with vertices A, B, C and angles alpha, beta, gamma....
The arbelos in $n$-aliquot parts - Hiroshi Okumura and Masayuki Watanabe We generalize the classical arbelos to the case divided into many...
Triangle centers with linear intercepts and linear subangles - Sadi Abu-Saymeh and Mowaffaq Hajja Let ABC be a triangle with side-lengths a, b,...
On the maximal inflation of two squares - Thierry Gensane and Philippe Ryckelynck We consider two non-overlapping congruent squares q_1, q_2 and...
On the existence of triangles with given lengths of one side, the opposite and an adjacent angle bisectors - Victor Oxman We give a necessary and...
