An elementary course of infinitesimal calculus . follows that This is identical, except as to notation, with the formula(2) of Art. 152. 406 INFINITESIMAL CALCULUS. [CH. X 154 Osculating Circle. A slightly different way of treating the matter is basedon the notion of the osculating circle. If Q and R be twoneighbouring points of the curve, one on each side of P, weconsider the limiting value of the radius of the circle PQB,when Q and R are taken infinitely close to P. We can shew that if the curvature of the given curve becontinuous at P, this circle coincides in the limit with the circle of c
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An elementary course of infinitesimal calculus . follows that This is identical, except as to notation, with the formula(2) of Art. 152. 406 INFINITESIMAL CALCULUS. [CH. X 154 Osculating Circle. A slightly different way of treating the matter is basedon the notion of the osculating circle. If Q and R be twoneighbouring points of the curve, one on each side of P, weconsider the limiting value of the radius of the circle PQB,when Q and R are taken infinitely close to P. We can shew that if the curvature of the given curve becontinuous at P, this circle coincides in the limit with the circle of c