Is a convex plane body determined by an isoptic?

Árpád Kurusa1
1Bolyai Institute, University of Szeged, Szeged, Hungary

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Tài liệu tham khảo

Green J.W.: Sets subtending a constant angle on a circle. Duke Math. J. 17, 263–267 (1950)

Klamkin M.S.: Conjectured isoptic characterization of a circle. Am. Math. Monthly 95, 845 (1988)

Kurusa Á.: The shadow picture problem for nonintersecting curves. Geom. Dedicata 59, 113–125 (1996)

Kurusa, Á.: Kúpszeletek izoptikusai. Polygon 19(1), 27–46 (2011, in Hungarian)

Martini H., Mozgawa W.: An integral formula related to inner isoptics. Rendic. Sem. Mat. Univ. Padova 125, 39–49 (2011)

Miernowski A., Mozgawa W.: On some geometric condition for convexity of isoptics. Rend. Sem. Mat. Univ. Pol. Torino 55, 93–98 (1997)

Mozgawa W.: Integral formulas related to ovals. Beiträge Algebra Geom. 50, 555–561 (2009)

Nitsche J.C.C.: Isoptic characterization of a circle (Proof of a conjecture of M.S. Klamkin). Am. Math. Monthly 97, 45–47 (1990)

Wunderlich W.: Kurven mit isoptischen Ellipse. Monatshefte Math. 75, 346–362 (1971)

Yates, R.C.: A Handbook on Curves and Their Properties, pp. 138–140. J. W. Edwards, Ann Arbor (1947)