Equations of a conoid with an orthogonal coordinate system in parametric form

Abstract

Equations of a conoid with an orthogonal coordinate system in parametric form

Aleshina O.O., Nasher M.H.A., Diab W., Uwais M.M.A., Hasan Y., Zhang R.

Incoming article date: 07.05.2024

In the paper, parametric equations of right conoidal surfaces with an orthogonal coordinate system with different guiding curves are obtained for the first time. Parametric equations for conoids with guide curves sine, cosine and parabola are presented. In the MathCad system, the constructions of right conoids with selected guide curves with various initial geometric parameters are visually performed and presented in the paper for the possibility of expanding their use in architectural design, construction and other industries.

Keywords: conoid, orthogonal coordinate system, sine, cosine, parabola, parametric equation, MathCad system