Axially Symmetric Polygons Inscribed in and Circumscribed about Convex sets.
B. de Abel de Valcourt (1967)
Elemente der Mathematik
Similarity:
B. de Abel de Valcourt (1967)
Elemente der Mathematik
Similarity:
Peter McCullen (1976)
Elemente der Mathematik
Similarity:
Lassak, Marek, Nowicka, Monika (2009)
Beiträge zur Algebra und Geometrie
Similarity:
Marek Lassak, Monika Nowicka (2010)
Colloquium Mathematicae
Similarity:
Denote by Kₘ the mirror image of a planar convex body K in a straight line m. It is easy to show that K*ₘ = conv(K ∪ Kₘ) is the smallest by inclusion convex body whose axis of symmetry is m and which contains K. The ratio axs(K) of the area of K to the minimum area of K*ₘ over all straight lines m is a measure of axial symmetry of K. We prove that axs(K) > 1/2√2 for every centrally symmetric convex body and that this estimate cannot be improved in general. We also give a formula for...
G.D. Chakerian (1963)
Elemente der Mathematik
Similarity:
Lassak, Marek (2008)
Beiträge zur Algebra und Geometrie
Similarity:
P.R. Scott (1991)
Elemente der Mathematik
Similarity:
M. Henk, G.A. Tsintsifas (1994)
Elemente der Mathematik
Similarity:
W. Kuperberg (1983)
Elemente der Mathematik
Similarity:
Fernando Affentranger (1988)
Elemente der Mathematik
Similarity:
Makeev, V.V. (2005)
Journal of Mathematical Sciences (New York)
Similarity:
Hausel, T., Makai, E., Szücs, A. (1997)
General Mathematics
Similarity: