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FOUNDATIONS SECTION 1 Plan of the chapter 2 List of Assumptions A E P and
Double points of projectivities
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according affine angle assumptions axes axis B₁ boundary called carries Chap circle collinear collineation columns common complex condition congruent conic conjugate consists contains convex region co÷rdinates COROLLARY corresponding defined definition denoted determined direct displacement distinct double points edge effects elementary elements elliptic equations equivalent Euclidean plane EXERCISES exists expressible fixed follows four geometry given harmonic Hence hyperbolic identity imaginary infinity intersection invariant inversion involution leaves linear measure meets number system obtained opposite ordered ordinary oriented orthogonal line reflection pair parabolic parallel pass pencil perpendicular plane point pair points polar polygon positive projective Proof proved quadric rational rays referred regard relation represented respectively rotation satisfy segment sense sense-class separated set of points sides space tangent Theorem theory transformation translation triads triangle vectors vertices