Kinematic Differential Geometry of a Line Trajectory in Spatial Movement

被引：0

作者：

Almoneef, Areej A. ^{[1
]}

Abdel-Baky, Rashad A. ^{[2
]}

机构：

[1] Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia

[2] Univ Assiut, Fac Sci, Dept Math, Assiut 71516, Egypt

来源：

AXIOMS | 2023年 / 12卷 / 05期

关键词：

E; Study map; axodes; line congruence; Disteli formulae; RULED SURFACES; MOTION;

D O I：

10.3390/axioms12050472

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the kinematic differential geometry of a line trajectory in spatial movement. Specifically, we provide a theoretical expression of inflection line congruence, which is the spatial equivalent of the inflection circle of planar kinematics. Additionally, we introduce new proofs for the Euler-Savary and Disteli formulae and thoroughly analyze their spatial equivalence.

引用

页数：15

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