Pamfilos, Paris A gallery of conics by five elements. (English) Zbl 1305.51015 Forum Geom. 14, 295-348 (2014). This paper addresses the beginner in constructive geometry of conics in the projectively extended real affine plane; the author offers an extensive training in dealing with infinite elements and with duality. The main task says: A conic \(c\) is given by five points in general position; construct a further point of the conic (is done via Pascal’s theorem). The author discusses all further eleven (not necessarily unique) determinations of a conic by points and tangents using well-known theorems which are listed above as keywords.Occasionally the author leaves the frame of plane geometry and employs descriptive geometry when a task is solved by spacial interpretation.The reviewer considers the gallery to be incomplete because the determinations of conics by elements of osculation or hyperosculation are missing. Reviewer: Rolf Riesinger (Wien) Cited in 2 Documents MSC: 51M15 Geometric constructions in real or complex geometry Keywords:geometry of conics; involutory projectivity; common harmonics of two pairs of collinear points; pencil of conics; range of conics; quadratic transformation; eleven point conic; eleven tangent conic; Desargues’ theorem for pencils of conics; Desargues’ theorem for ranges of conics; Plücker’s theorem; Pascal’s theorem; Brianchon’s theorem PDFBibTeX XMLCite \textit{P. Pamfilos}, Forum Geom. 14, 295--348 (2014; Zbl 1305.51015) Full Text: Link