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Plane Geometry i Addition of extensives and multiplication by scalars I
Interpretation of extensives as points of a Euclidean plane
Points at infinity
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ab'c algebra angle axes axis bivector centre circumcircle circumsphere coefficients collinear collineation complex confocals conic envelope conies conjugate coplanar corresponding cross-ratio cubic define denote dependent determinant double point Dually elements equal equation extensives of step factors formulae geometry gives harmonic Hence independent inner product invariant factors inversions involution join linear combination lines locus magnitude matrix meet mid-points multiplication non-singular non-zero normal orthogonal orthogonal transformation orthopole outer multiplication outer product pairs parallel pencil perpendicular point-circles point-pairs polar plane pole polynomial projective quadric quadrilateral radical axis regulus represents respectively root rotors scalars screws secular equation self-polar shew sides Similarly sphere spread of step step four supplement tetrahedron Thence theorem transformation triangle abc trivector twisted cubic unit vector unity vanishes vertices weighted point zero