O symbolech analytické geometrie a jejich upotřebení. [V.]
O symbolech analytické geometrie a jich upotřebení. [I.]
O symbolech analytické geometrie a jich upotřebení. [II.]
On Barbier's theorem
On curves and surfaces in illumination geometry.
On kinematics and differential geometry of Euclidean submanifolds.
On L2 and L3.
On Mannheim partner curve in dual space.
On osculating spheres to rectifiable curves
On Poncelet's porism
We consider circular annuli with Poncelet's porism property. We prove two identities which imply Chapple's, Steiner's and other formulas. All porisms can be expressed in the form in which elliptic functions are not used.
On rectifying dual space curves.
On rosettes and antipodal rosettes.
On Schrödinger maps from to
We prove an estimate for the difference of two solutions of the Schrödinger map equation for maps from to This estimate yields some continuity properties of the flow map for the topology of , provided one takes its quotient by the continuous group action of given by translations. We also prove that without taking this quotient, for any the flow map at time is discontinuous as a map from , equipped with the weak topology of to the space of distributions The argument relies in an essential...
On some classes of curves in a projective space
On the affine rectification of convex curves.
On the arc length of parametric cubic curves.
On the Differentiability of the Coordinate Functions of Póyla's Space-Filling Curve.
On the four vertex theorem in planes with radial density
It is shown that in a plane with a radial density the four vertex theorem holds for the class of all simple closed curves if and only if the density is constant. On the other hand, for the class of simple closed curves that are invariant under a rotation about the origin, the four vertex theorem holds for every radial density.
On the four-vertex theorem.
On the length of space curves of constant width.