Elementary Mathematics from an Advanced Standpoint ...

a₁ a₁x affine geometry affine transformation analysis analytic geometry angle arbitrary axes axioms axis b₁ b₁y b₂y C₁ called Clothbound coefficients complete configurations conic consider coordinate system CORNELL corresponding course cross ratio curve defined definite determinant directed line-segment discussion edition elementary elements equation Euclid Euclid's Elements euclidean geometry example expression fact field figures finite follows formulas free vector functions fundamental given Grassmann Hence homogeneous coordinates imaginary spherical circle infinitely distant infinity intersection invariant theory lectures Leipzig linear substitution magnitudes manifolds mathematical means metric geometry Möbius motion non-euclidean geometry obtain origin P₁ Paperbound parallel parameters plane plane at infinity polar polygon position postulates principle projective geometry projective transformations quadratic form rays relation represent rotation scalar segment sense space sphere straight line surface syzygies tangent tensor tetrahedron theorem theory of invariants tion translation triangle unchanged values variables