Miloš Ljubomirović

A Projection Relationship Between the Centres of Curvature in Planar and Precessional Motion for Rolling Circles of Equal Radius

The planar rolling of a moving circle on a fixed circle of the same radius and the corresponding precessional, i.e. spherical, motion are considered. Two previous papers addressed a special graphical construction of the centre of curvature for a point in the plane of symmetry of...

A Fixed Conic Section as the Locus of the Intersection Point of the Line OK with the Initial Plane

Two circles of different radii, tangent at point I in the initial plane, are considered. For the same geometry and the same material point P₀ of the moving plane, a family of corresponding precessional motions with different inclination angles θ is considered. For each motion, th...

A Fixed Conic Section as the Locus of the Intersection Point of the Line OK with the Initial Plane

Two circles of different radii, tangent at point I in the initial plane, are considered. For the same geometry and the same material point P₀ of the moving plane, a family of corresponding precessional motions with different inclination angles θ is considered. For each motion, th...