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Axioms
Other literature type . 2023
License: CC BY
Full-Text: http://www.mdpi.com/2075-1680/12/5/472/pdf
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Axioms
Article . 2023 . Peer-reviewed
License: CC BY
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Axioms
Article . 2023
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Article . 2023
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Kinematic Differential Geometry of a Line Trajectory in Spatial Movement

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 14 May 2023 English Publisher:MDPI AGJournal:Axioms, volume 12, page 472 (eissn: 2075-1680, Copyright policy )
Authors: Areej A. Almoneef; Rashad A. Abdel-Baky;

doi: 10.3390/axioms12050472

Kinematic Differential Geometry of a Line Trajectory in Spatial Movement

Abstract

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.

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Keywords

E. Study map; axodes; line congruence; Disteli formulae, Disteli formulae, line congruence, QA1-939, E. Study map, Mathematics, axodes

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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