论文标题
Hugelschaffer卵曲线和表面
Hugelschaffer egg curve and surface
论文作者
论文摘要
在本文中，我们考虑使用适当的几何结构生成的Hugelschaffer立方曲线。这项工作的主要结果是使用椭圆形积分明确计算立方曲线的卵形部分的面积。在本文中，我们还分析了立方曲线的Hugelschaffer表面，为此，我们为蛋形部分的体积和表面积提供了新形式的公式。卵形形状的曲线和表面在空气工程和构造中具有广泛的适用性，并且具有生物学意义。关于这一点，在最后一部分中，我们考虑了此Hugelschaffer模型的实际适用性示例。
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 calculating the area of the egg-shaped part of the cubic curve using elliptic integrals. In this paper, we also analyze the Hugelschaffer surface of cubic curves for which we provide new forms of formulae for the volume and surface area of the egg-shaped part. Curves and surfaces of ovoid shape have wide applicability in aero-engineering and construction, and are also of biologic importance. With respect to this, in the final section, we consider some examples of the real applicability of this Hugelschaffer model.
