The orthic-of-intouch and intouch-of-orthic triangles - Sandor Kiss Barycentric coordinates are used to prove that the othic of intouch and...
A very short and simple proof of ``the most elementary theorem" of euclidean geometry - Mowaffaq Hajja We give a very short and simple proof of...
On the generating motions and the convexity of a well-known curve in hyperbolic geometry - Dieter Ruoff In Euclidean geometry the vertices P of...
Concurrent medians of (2n+1)-gons - Matthew Hudelson We exhibit conditions that determine whether a set of 2n+1 lines are the medians of a...
Grassmann cubics and desmic structures - Wilson Stothers We show that each cubic of type nK which is not of type cK can be described as a...
Pseudo-incircles - Stanley Rabinowitz This paper generalizes properties of mixtilinear incircles. Let (S) be any circle in the plane of triangle...
A generalization of Power's Archimedean circles - Hiroshi Okumura and Masayuki Watanabe We generalize the Archimedean circles in an arbelos given...
Products and reciprocals of diagonals length ratios in the regular polygon - Anne Fontaine and Susan Hurley These "proofs by picture'' link the...
Archimedean adventures - Floor van Lamoen We explore the arbelos to find more Archimedean circles and several infinite families of Archimedean...
The locations of the Brocard points - Christopher J. Bradley and Geoff C. Smith We fix and scale to constant size the orthocentroidal disk of a...
The locations of triangle centers - Christopher J. Bradley and Geoff C. Smith The orthocentroidal circle of a non-equilateral triangle has...
A characterization of the centroid using June Lester's shape function - Mowaffaq Hajja and Margarita Spirova The notion of triangle shape is used...
Isocubics with concurrent normals - Bernard Gibert It is well known that the tangents at A, B, C to a pivotal isocubic concur. This paper studies...
The cyclic complex of a cyclic quadrilateral - Paris Pamfilos To every cyclic quadrilateral corresponds naturally a complex of sixteen cyclic...
A note on the Droz-Farny theorem - Charles Thas We give a simple characterization of the Droz-Farny pairs of lines through a point of the plane....
A conic associated with the Euler line - Juan Rodriguez, Paula Manuel and Paulo Semiao We study the locus of a point C for which the Euler line...
On the mixtilinear incircles and excircles - Khoa Lu Nguyen and Juan Carlos Salazar A mixtilinear incircle (respectively excircle) of a triangle...
A Gergonne analogue of the Steiner-Lehmus theorem - K. R. S. Sastry In this paper we prove an analogue of the famous Steiner - Lehmus theorem...
Statics and the moduli space of triangles - Geoff C. Smith The variance of a weighted collection of points is used to prove classical theorems of...
The Eppstein centers and the Kenmotu points - Eric Danneels The Kenmotu points of a triangle are triangle centers associated with squares each...
