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Plane Geometry 1 Addition of extensives and multiplication by scalars I
Interpretation of extensives as points of a Euclidean plane
Points at infinity
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abed algebraic products angle axis bivector centre characteristic root circle touching circumcircle circumsphere coefficients collinear confocals conic envelope conies conjugate coplanar corresponding cross-ratio cubic cv c2 define denote dependent determinant double point Dually elementary transformations elements equal extensives of step factors fixed formulae frame geometry gives harmonic Hence independent inner product invariant factors inversions involution join linear combination lines locus magnitude matrix meet multiplication non-singular non-singular matrix non-zero normal orthogonal transformation outer multiplication outer product pairs parallel pencil perpendicular point-circles point-pairs polar conic polar plane pole polynomial quadric quadrilateral radical axis regulus represents respectively rotors scalars screws secular equation shew Similarly sphere spread of step square step four symmetric symmetric matrix tangent plane tetrahedron theorem triangle abc unities vanishes vertices weight zero