## Cours D'analyse Mathématique. Anglais |

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### Contents

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### Common terms and phrases

admits algebraic analytic function angle arbitrary constant asymptotic lines axes axis Cauchy problem center of curvature characteristic curves circle coefficients complete integral cone conformal representation congruence conjugate const continuous Conversely coordinates corresponding deduced defined denote depend derivatives with respect developable surface direction Dirichlet problem domain Dupin envelope equal example exists focal surface follows formula Frenet-Serret functional determinant geodesic curvature geometric given harmonic function hence indicatrix integral surfaces intersect inversion isometric Let us consider lines of curvature locus minimal surface nonzero obtain orthogonal trajectories osculating plane parallel parameter partial derivatives partial differential equation plane curve plane Oxy planes passing principal normal radius rectangular reduced Remark replaced ruled surfaces satisfied second member singular integral sphere spherical representation surface of revolution taken takes the value tangent plane theorem total curvature transformation trihedron unit vector variables vertex zero

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