Kinematic-geometry of a line trajectory and the invariants of the axodes

• Autorzy: Li Yanlin , Mofarreh Fatemah , Abdel-Baky Rashad A.

Identyfikatory

DOI

10.1515/dema-2022-0252

• Języki publikacji: EN

Abstrakty

EN

In this article, we investigate the relationships between the instantaneous invariants of a one-parameter spatial movement and the local invariants of the axodes. Specifically, we provide new proofs for the Euler-Savary and Disteli formulas using the E. Study map in spatial kinematics, showcasing its elegance and efficiency. In addition, we introduce two line congruences and thoroughly analyze their spatial equivalence. Our findings contribute to a deeper understanding of the interplay between spatial movements and axodes, with potential applications in fields such as robotics and mechanical engineering.

Słowa kluczowe

EN

E. Study map; axodes; line congruence; Disteli’s formula

PL

mapa E. Study; kongruencja liniowa; wzór Disteliego

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2023
• Tom: Vol. 56, nr 1
• Strony: art. no. 20220252
• Opis fizyczny: Bibliogr. 36 poz., rys.

Twórcy

autor

Li Yanlin

• School of Mathematics, Hangzhou Normal University, Hangzhou 311120, China

autor

Mofarreh Fatemah

• Mathematical Science Department, Faculty of Sciences, Princess Nourah Bint Abdulrahman, Riyadh 11546, KSA

autor

Abdel-Baky Rashad A.

• Department of Mathematics, Faculty of Science, University of Assiut, Assiut 71516, Egypt

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).