In this paper,we discuss the necessary and sufficient condition with respect to which there are circular cross-sections on quadric surface,if the characteristic roots t 1t 2t 3 and t 2≠0,then there are circular cross-sections.
This article briefly introduces how to compile a CAI courseware of conicoid and summarizes the technique and experience in developing a CAI courseware of higher mathematics figure by many kinds of software such as AutoCAD,3DS,VB etc.
With the Lagrange multiplier method, the minimum distance between the center of a circle and a quadric surface is given as well.
Methods considered include finite differences, a facet based approach, and quadric surface fitting.
We show that in order to solve this problem without splitting the facets of the polyhedron, the prescribed tangent planes must satisfy a condition, and under this condition we give a local scheme for constructing the smooth piecewise quadric surface.
Einstein-Weyl spaces and (1 , n) -curves in the quadric surface
Use is made of a quadric surface which may be fitted to nine points.
Restriction of the Fourier transform to a quadratic surface in [InlineMediaObject not available: see fulltext.]n
It is well known that any regular surface can be locally approximated in the neighborhood of a pointp by the explicit quadratic surface of the form r(x,y)=[x,y1/2(αx2+βy2)]T to the second order where -α and -β are the principal curvatures at pointp.
In this paper, we develop the equations of the self-intersection curves of an offset of an explicit quadratic surface.
Vortex boundary layer under quadratic surface stress
Removal of a quadratic surface from the observed geoid heights leaves a residual positive anomaly with the same shape as the rise and an amplitude of about 8 m.