6 citations · 13 across the 7 of their papers we have counts for
10 papers
The area of Hügelschäffer curves via Taylor series
Maja Petrovic, Branko Malesevic
In this paper, we give new Taylor approximative formulae for the area of the egg-shaped parts of Hügelschäffer curves. Based on a parametrization of the Hügelschäffer curve, a form…
Hugelschaffer egg curve and surface
Maja Petrovic, Branko Malesevic
In this paper we consider Hugelschaffer cubic curves which are generated using appropriate geometric constructions. The main result of this work is the mode of explicitly calculati…
Some new estimates of precision of Cusa-Huygens and Huygens approximations
Branko Malesevic, Marija Nenezic, Ling Zhu +2
In this paper we present some new upper bounds of the Cusa-Huygens and the Huygens approximations. Bounds are obtained in the forms of some polynomial and some rational functions.
On the Erdos-Mordell Inequality for Triangles in Taxicab Geometry
Maja Petrovic, Branko Malesevic, Bojan Banjac
In this work the Erdos-Mordell's inequality is examined for the case of a triangle in the taxicab plane geometry. It is shown that the Erdos-Mordell's inequality $R_A + R_B +…
Geometry of some taxicab curves
Maja Petrovic, Branko Malesevic, Bojan Banjac +1
In this paper we present geometry of some curves in Taxicab metric. All curves of second order and trifocal ellipse in this metric are presented. Area and perimeter of some curves…
A method for extraction of arcs of the algebraic curves
Branko Malesevic, Maja Petrovic, Bojan Banjac +2
In this paper we present a method for extraction of arcs of the algebraic curves of the higher order. Method is applied on conics, Cartesian ovals, trifocal curves and generalized…
The Geometry of Trifocal Curves with Applications in Architecture, Urban and Spatial Planning
Maja Petrovic, Bojan Banjac, Branko Malesevic
In this paper we consider historical genesis of trifocal curve as an optimal curve for solving the Fermat's problem (minimizing the sum of distance of one point to three given poin…
A Computer Verification of a Conjecture About Erdös-Mordell Curve
Bojan D. Banjac, Branko J. Malesevic, Maja M. Petrovic +1
In this paper we consider Erdös-Mordell inequality and its extension in the plane of triangle to the Erdös-Mordell curve. Algebraic equation of this curve is derived, and using mod…
Barrow's Inequality and Signed Angle Bisectors
Branko Malesevic, Maja Petrovic
In this paper we give one extension of Barrow's type inequality in the plane of the triangle ABC introduce signed angle bisectors.
On the Extension of the Erdos-Mordell Type Inequalities
Branko Malesevic, Maja Petrovic, Marija Obradovic +1
We discuss the extension of inequality R_A >= c/a * r_b + b/a * r_c to the plane of triangle ABC. Based on the obtained extension, in regard to all three vertices of the triangle,…