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ac-axis accuracy affine transformation assume axes axis canonical form Clark equation coefficients collineation nomogram Construct a nomogram corresponding point cross-ratio curve curvilinear scale defined denote determinant draw a nomogram equal to zero example family of lines family of straight fi(u formula function F(x functional scales given equation graph homogeneous coordinates homographic function hyperbola interval lattice nomogram Let us take line at infinity linearly dependent lines parallel logarithmic scale Massau matrix nomogram consisting nomogram for equation nomogram with three nomographic order nomographic polynomial ordinary points pair of numbers parabola parallel lines parameter parametric equations point at infinity points corresponding points X1 projective plane projective scale projective transformation quadrilateral rectangle rectilinear scales reduced regular scale satisfy the equation segment sides substituting tangent theorem theorem of Pappus three scales three variables u-scale unit values w-scale whence write the equation y-axis