On spatial relations to the Euler-Savary formula

D Dooner, RG García, JMR Martínez - Mechanism and Machine Theory, 2023 - Elsevier
Abstract The Euler-Savary formula is a well-established relation with multiple interpretations.
This formula is revisited and cast as a geared three-link spatial mechanism with uniform …

Kinematic geometry of timelike ruled surfaces in Minkowski 3-space E 1 3

N Alluhaibi, RA Abdel-Baky - Symmetry, 2022 - mdpi.com
Symmetry is a frequently recurring theme in mathematics, nature, science, etc. In
mathematics, its most familiar manifestation appears in geometry, most notably line …

Timelike-Ruled and Developable Surfaces in Minkowski 3-Space

F Mofarreh - Frontiers in Physics, 2022 - frontiersin.org
In this study, the timelike-ruled and developable surfaces are constructed in Minkowski 3-
space E 1 3. Using the E. Study map, we demonstrate that dual forms of timelike-ruled and …

[PDF][PDF] One-parameter Lorentzian spatial kinematics and Disteli's formulae

A Al-Jedani, RA Abdel-Baky - a, a, 2023 - aimspress.com
In this paper, based on the E. Study map, clear terms are offered for the differential
equations of one-parameter Lorentzian spatial kinematics that are coordinate system …

Time‐like Ruled Surface in One‐Parameter Hyperbolic Dual Spherical Motions

MF Naghi, RA Abdel-Baky… - Abstract and Applied …, 2022 - Wiley Online Library
In this work, we introduce a time‐like ruled surface in one‐parameter hyperbolic dual
spherical motions. This provides the ability to derive some formulae of surface theory into …

Timelike ruled surface in one-parameter hyperbolic dual spherical motions.

R Abdel-Baky, M Naghi - Authorea Preprints, 2024 - authorea.com
In this paper, we analyze a certain class of timelike ruled surface in one-parameter
hyperbolic dual spherical motions by means of the E. Study map. Then, some new formulae …