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The topics may vary from year to year, and will be selected among the following subjects (nonexhaustive list): Introduction to projective geometry with applications to rational curves and surfaces, control points for Rational curves, rectangular and triangular rational patches, drawing closed rational curves and surfaces; Differential geometry of curves (curvature, torsion, osculating planes, the Frenet frame, osculating circles, osculating spheres); Differential geometry of surfaces (first fundamental form, normal curvature, second fundamental form, geodesic curvature, Christoffel symbols, principal curvatures, Gaussian curvature, mean curvature, the Gauss map and its derivative dN, the Dupin indicatrix, the Theorema Egregium, equations of Codazzi-Mainardi, Bonnet's theorem, lines of curvatures, geodesic torsion, asymptotic lines, geodesic lines, local Gauss-Bonnet theorem).
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That if any person after publication heerof, shall sell, give or barter any gun or guns, powder, bullets, shot or lead to any Indian whatsoever, or unto any person inhabiting out of this Jurisdiction without license of this Court, or the court of Assistants, or some two Magistrates, he shall forfeith for everie gun so sold, given or bartered ten pounds: and for everie pound of powder five pounds: and for everie pound of bullets, shot or lead fourty shillings: and so proportionably for any greater or lesser quantitie.
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