E3S Web Conf.
Volume 164, 2020Topical Problems of Green Architecture, Civil and Environmental Engineering 2019 (TPACEE 2019)
|Number of page(s)||10|
|Section||Energy Efficiency in Building Construction|
|Published online||05 May 2020|
Flat area characteristics of polygons circumscribing parabolic figures
National Research Moscow State University of Civil Engineering, Yaroslavskoye Shosse, 26, Moscow, 129337, Russia
* Corresponding author: firstname.lastname@example.org
The works elucidates the extremum areas of the polygons circumscribing parabolic figures. It is shown that the ratio of the areas of the polygons circumscribed near parabolic figures to the areas of the corresponding figures always remains a constant value, independent of the coefficients characterizing the quadratic function. The only point at which the function under study reaches its minimum value is found. The question of the necessary conditions for the existence of a circle circumscribed about a parabolic quadrilateral found in the Ptolemy theorem is being considered.
© The Authors, published by EDP Sciences 2020
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