On the axodes of one-parameter spatial movements

In this treatise, several relationships are improved for the axodes of one-parameter spatial movements. Results are devised in some theorems which characterize many kinematical and geometrical properties of the movements employing the geometrical data of the stationary and movable axodes. An example illustrates the application of the formulae derived. Our findings contribute to a greater understanding of the similarities between spatial movements and axodes, with possible applications in fields such as mechanical engineering.