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Show 141 get for X the e.g. Xn' (l-cos¢) = Xn + The first normal sin() Xn + is A2 57(AXn+BYn+CZn) Yn - C . nS1n¢ the + Zn the by zero Substituting vector. and cos¢ this of term component B . DS1n¢ definition expressions for of cos() the and A,B,C,D /FU2+Fv2 D Xn' xu(Fv(Pu.Pv)-Fu(Pv.Pv»)+Xv(Fu(Pu·PV)-FV(Pu.Pu») ) /1+Fu2+Fv2 Since all coordinates +FV2 and perturbed normal then recognize since anyway, the scale we we invariant I to the scaled normallize this neglect as divided one factor. by pertutbation Fu2(pv.Pv) - 2FuFv(Pu·Pv) + by the We originally derived would be Fu2+Fv2 / = be to going are can amount / S have expression with the perturbation Thus the net will Fv2(Pu·Pu) |