Some simple results on cevian quotients - Francisco Javier Garcia Capitan We find the loci of the cevian quotients P/Q and Q/P when one of the...
Intersecting equilateral triangles - Colleen Nielsen and Christa Powers In 1980, J. Fickett proposed the following problem: Assume two congruent...
Zeyd Yusuf Koroglu and Yigit Yargic, Three natural homoteties of the nine-point circle - Mehmet Efe Akengin Given a triangle with the reflections...
On polygons admitting a Simson line as discrete analogs of parabolas - Emmanuel Tsukerman We call a polygon which admits a Simson line a Simson...
A generalization of the Conway circle - Francisco Javier Garcia Capitan For any point in the plane of the triangle we show a conic that becomes...
A sangaku-type problem with regular polygons, triangles, and congruent incircles - Naoharu Ito and Harald K. Wimmer We consider a dissection...
Gossard's perspector and projective consequences - Wladimir G. Boskoff, Laurentiu Homentcovschi and Bogdan D. Suceava Considering as starting...
Special inscribed trapezoids in a triangle - Nikolaos Dergiades We give a generalization Floor van Lamoen's recent result on jigsawing a...
Pedal polygons - Daniela Ferrarello, Maria Flavia Mammana and Mario Pennisi We study the pedal polygon H1H2...Hn of a point P with respect to a...
Jigsawing a quadrangle from a triangle - Floor van Lamoen For an acute-angled triangle ABC, we construct two isotomic points P and Q on BC and P'...
On the Fermat geometric problem - Zvonko Cerin We consider the Fermat configuration generated by a point on a circle over the side of a...
Derivation of the law of cosines via the incircle - Larry Hoehn The law of cosines can be derived without using special cases and without using...
Pairings of circles and Sawayama's theorem - Paris Pamfilos In this article we study pairs of projectively related circles, tangent to a fixed...
Why are the side lengths of the squares inscribed in a triangle so close to each other - Victor Oxman and Moshe Stupel We compare the side...
The f-belos - Antonio M. Oller-Marcen The arbelos is the shape bounded by three mutually tangent semicircles with collinear diameters. Recently,...
On the conic through the intercepts of the three lines through the centroid and the intercepts of a given line - Paul Yiu Let L be a line...
Convolution filters for triangles - Gregoire Nicollier The construction of a new triangle by erecting similar ears on the sides of a given...
Perpendicular bisectors of triangle sides - Douglas W. Mitchell Formulas, in terms of the sidelengths and area, are given for the lengths of the...
The most inaccessible point of a convex domain - Maria Calvo and Vicente Munoz The inaccessibility of a point p in a bounded domain D subset R^n...
Characterizations of trapezoids - Martin Josefsson We review eight and prove an additional 13 necessary and sufficient conditions for a convex...
