Simple Proofs of Feuerbach’s Theorem and Emelyanov’s Theorem - Nikolaos Dergiades and Tran Quang Hung LTTK TEZ xin giới thiệu với bạn đọc yêu...
Parallelograms Inscribed in Convex Quadrangles - Nikolaos Dergiades LTTK TEZ xin giới thiệu với bạn đọc yêu thích tạp chí Hình học Geometricorum...
The two incenters of an arbitrary convex quadrilateral - Nikolaos Dergiades and Dimitri M. Christodoulou For an arbitrary convex quadrilateral...
Geogebra construction of the roots of quadratic, cubic and quartic equations - Nikolaos Dergiades We construct geometrically the roots of a...
Construction of Ajima circles via centers of similitude - Nikolaos Dergiades We use the notion of the centers of similitude of two circles to...
Generalized Tucker circles - Nikolaos Dergiades It is known that if we cut the sides of the angles of a triangle, with six consecutive...
Generalized Archimedean arbelos twins - Nikolaos Dergiades We generalize the well known Archimedean arbelos twins by extending the notion of...
Dao's theorem on six circumcenters associated with a cyclic hexagon - Nikolaos Dergiades We reformulate and give an elegant proof of a wonderful...
Antirhombi - Nikolaos Dergiades First we give the definition and some properties of the non-rhombus quadrilateral that we call antirhombus, that...
Special inscribed trapezoids in a triangle - Nikolaos Dergiades We give a generalization Floor van Lamoen's recent result on jigsawing a...
A triad of circles tangent internally to the nine-point circle - Nikolaos Dergiades and Alexei Myakishev Given an acute triangle, we construct...
Alhazen's circular billiard problem - Debdyuti Banerjee and Nikolaos Dergiades In this paper we give two simple geometric constructions of two...
Harmonic conjugate circles relative to a triangle - Nikolaos Dergiades We use the term harmonic conjugate conics, for the conics C, C* with...
The golden section with a collapsible compass only - Nikolaos Dergiades and Paul Yiu With the use of a collapsible compass, we divide a given...
Construction with inscribed ellipses in a triangle - Nikolaos Dergiades We give a simple construction of the axes and foci of an inscribed...
Conics tangent at the vertices to two sides of a triangle - Nikolaos Dergiades We study conics tangent to two sides of a given triangle at two...
A simple barycentric coordinates formula - Nikolaos Dergiades We establish a simple formula for the barycentric coordinates with respect to a...
onstruction of triangle from a vertex and the feet of two angle bisectors - Harold Connelly, Nikolaos Dergiades and Jean-Pierre Ehrmann We give...
A synthetic proof and generalization of Bellavitis' theorem - Nikolaos Dergiades In this note we give a synthetic proof of Bellavitis' theorem...
Garfunkel's inequality - Minh Ha Nguyen and Nikolaos Dergiades Let I be the incenter of triangle ABC and U, V, W the intersections of the...
