A GEOMETRIC CONFIGURATION ASSOCIATED WITH THE OSCULATING QUADRICS AT A POINT OF AN ANALYTIC SURFACE.

Abstract

By considering certain polar reciprocal relations between the osculating quadrics of Darboux and of Bompiani at a given point of an analytic surface, the resulting geometric configuration was studied. Plane loci discovered included conics, cubics, quartics, and sextics. Space loci discovered included twisted cubics, quadric cones, osculating planes, ruled cubic surface, tangent developable quartic surfaces, osculating linear complexes and null systems of twisted cubics, a skew involution, and a linear congruence. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1967
Accession Number
AD0818854

Entities

People

  • Paul D. Thomas

Organizations

  • Naval Oceanographic Office

Tags

Communities of Interest

  • Air Platforms

Fields of Study

  • Physics

Readers

  • Computer Vision.
  • Environmental Engineering
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

Technology Areas

  • Space
  • Space - Orbital Debris