Non-Euclidean GeometryUniversity of Toronto Press, 1978 - 309 páginas |
Conteúdo
THE HISTORICAL DEVELOPMENT | 1 |
FOUNDATIONS | 16 |
POLARITIES | 48 |
Direitos autorais | |
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Termos e frases comuns
AB/C absolute polar line affine geometry axioms axis bundle centre circle Clifford parallels Clifford surface Clifford translation collinear points collineation congruent transformation conic conjugate points contains coordinates coplanar correlation cosh cross ratio deduce define definite distance double points elliptic geometry equation equidistant Euclidean geometry flat pencil follows formulae harmonic conjugate harmonic homology Hence horocycle hyperbolic geometry ideal point intersection invariant inverse involution joining Klein left parallel length line at infinity lines and planes meet one-dimensional opposite ordinary point P₁ pairs permutable point-pairs points and lines points at infinity pole Postulate product of reflections projective geometry PROOF quadric quaternion real numbers real projective geometry regulus relation represented respect right angles right parallel rotation segment self-conjugate points sides sinh skew lines space sphere tangent tetrahedron theorem triangle ABC ultra-infinite Veblen and Young vertices x₁