Chapter 1 Curves

Differential Geometry - Manfredo do Carmo

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Parametrized Curve

Tangent Line

Arc Length

Orientations

Helix

Vector Product

Parallelogram of Vector Product

Plane with Normal Vector

Plane Containing Three Points

α′ and α"

Change of Orientation

t, n, b and osculating planes

Frenet Planes

Negative Torsion

Positive Torsion

C bounds no region on T

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