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Journals and Conferences
We give a very simple construction of the Malfatti squares of a triangle, and study the condition when all three Malfatti squares are inside the given triangle. We also give an extension to the case of rectangles.
It is well known that perpendicularity yields an involution on the line at infinity L∞ mapping perpendicular directions to each other. Many notions of triangle geometry depend on this involution. Since in projective geometry the perpendicular involution is not different from other involutions, theorems using standard perpendicularity in fact are valid more… (More)
We investigate the figures that arise when squares are attached to a triple of non-adjacent sides of a hexagon, and this procedure is repeated with alternating choice of the non-adjacent sides. As a special case we investigate the figure that starts with a triangle. 1. Square wreaths around hexagons Consider a hexagon H1 = H1,1H2,1H3,1H4,1H5,1H6,1 with… (More)
We investigate circles intercepting chords of specified lengths on the sidelines of a triangle, a theme initiated by L. Stammler [6, 7]. We generalize his results, and concentrate specifically on the Stammler circles, for which the intercepts have lengths equal to the sidelengths of the given triangle.