2006Journal of Northeast Normal UniversityRequires access

Geometry analysis on the ultraright point of intersection curve of two cones with intersectant axes

Yanhua Gu

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Abstract

The study shows by analytic geometry that the intersection curve's projection or two cones with intersecting axes is hyperbola.It proves that hyperbola' center and hyperbola' asymptote and hyperbola' conjugate axis and ultraright-point of hyperbola relative to axis can be drawn exactly in projective geometry.The conclude is that the drawing of ultraright-point of intersection curve of two cones with intersecting axes is gained.This paper recounts theoretic and steps about drawing the ultraright-point of intersection curve,completes the method of drawing the ultraright-point of intersection.

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The study shows by analytic geometry that the intersection curve's projection or two cones with intersecting axes is hyperbola.It proves that hyperbola' center and hyperbola' asymptote and hyperbola' conjugate axis and ultraright-point of hyperbola relative to axis can be drawn exactly in projective geometry.The conclude is that the drawing of ultraright-point of intersection curve of two cones with intersecting axes is gained.This paper recounts theoretic and steps about drawing the ultraright-point of intersection curve,completes the method of drawing the ultraright-point of intersection.

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Available abstract

The study shows by analytic geometry that the intersection curve's projection or two cones with intersecting axes is hyperbola.It proves that hyperbola' center and hyperbola' asymptote and hyperbola' conjugate axis and ultraright-point of hyperbola relative to axis can be drawn exactly in projective geometry.The conclude is that the drawing of ultraright-point of intersection curve of two cones with intersecting axes is gained.This paper recounts theoretic and steps about drawing the ultraright-point of intersection curve,completes the method of drawing the ultraright-point of intersection.

Key concepts: Hyperbola, Intersection (aeronautics), Asymptote, Geometry, Mathematics, Point (geometry), Projection (relational algebra), Osculating circle

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