Remarks on Woo's Archimedean circles - Hiroshi Okumura and Masayuki Watanabe The property of Woo's Archimedean circles does not hold only for...
Characterizations of an infinite set of Archimedean circles - Hiroshi Okumura and Masayuki Watanabe For an arbelos with the two inner circles...
The arbelos and nine-point circles - Quang Tuan Bui We construct some new Archimedean circles in an arbelos in connection with the nine-point...
Some more Powerian pairs in the arbelos - Floor van Lamoen Frank Power has presented two pairs of Archimedean circles in the arbelos. In each...
Three Pappus chains inside the arbelos: some identitites - Giovanni Lucca We consider the three different Pappus chains that can be constructed...
onstruction of triangle from a vertex and the feet of two angle bisectors - Harold Connelly, Nikolaos Dergiades and Jean-Pierre Ehrmann We give...
A visual proof of the Erdos-Mordell inequality - Claudi Alsina and Roger B Nelsen We present a visual proof of a lemma that reduces theproof of...
Bicevian Tucker circles - Bernard Gibert We prove that there are exactly ten bicevian Tucker circles and show several curves containing the...
Orthocycles, bicentrics, and orthodiagonals - Paris Pamfilos We study configurations involving a circle (orthocycle) intimately related to a...
Ceva collineations - Clark Kimberling Suppose L_1 and L_2 are lines. There  exists a unique point U such that if X in L_1, then X^{-1}© U in...
Midcircles and the arbelos - Eric Danneels and Floor van Lamoen We begin with a study of inversions mapping one given circle into another. The...
The method of the punctured containers - Tom M. Apostol and Mamikon A. Mnatsakanian We introduce the method of punctured containers, which...
A simple construction of the golden ratio - Jingcheng Tong and Sidney Kung We construct the golden ratio by using an area bisector of a...
A stronger triangle inequality for neutral geometry - Melissa Baker and Robert Powers Bailey and Bannister [College Math. Journal, 28 (1997)...
The edge-tangent sphere of a circumscriptible tetrahedron - Yu-Dong Wu and Zhi-Hua Zhang A tetrahedron is circumscriptible if there is a sphere...
On a porism associated with the Euler and Droz-Farny lines - Christopher Bradley, David Monk and Geoff Smith The envelope of the Droz-Farny lines...
Euler's triangle determination problem - Joseph Stern We give a simple proof of Euler's remarkable theorem that for a nondegenerate triangle, the...
Some constructions related to the Kiepert hyperbola - Paul Yiu Given a reference triangle and its Kiepert hyperbola K, we study several...
Hansen's right triangle theorem, its converse and a generalization - Amy Bell We generalize D. W. Hansen's theorem relating the inradius and...
Some geometric constructions - Jean-Pierre Ehrmann We solve some problems of geometric construction. Some of them cannot be solved with ruler and...