## Topics in the theory of surfaces in elliptic space |

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### Contents

Elliptic Space | 1 |

Chapter n Convex Bodies and Convex Sur | 23 |

Transformation of Congruent | 41 |

Copyright | |

7 other sections not shown

### Common terms and phrases

According to lemma analytic angle apex bounded Chapter closed convex surface coefficients compares equal values congruent figures conical points convex body convex cone coordinate vector corre curvature not less curve differentiable distance elliptic space equation Euclidean space E0 expressions extrinsic curvature F in elliptic figures F figures in elliptic Fj and F2 follows formulae Gaussian curvature geodesic mapping given Hence infinitesimal deformation infinitesimal motion intersects intrinsic intrinsic metric isometric figures isometric surfaces isometrically corresponding points Let us assume Let us take line element locally convex manifold of curvature normal curvature obtain pair of isometric parameters plane of support point e0 polyhedron principal curvatures principal normal projective proof proved rectifiable curve Riemannian manifold second fundamental form semi-tangent specific curvature sponding straight line surf surface 4>j surface F surfaces in elliptic surfaces in Euclidean swerve tangent cone tangent plane tangent vectors theorem unit vector visible from inside Weierstrass coordinates