HÌNH HỌC VI PHÂN ( Differential geometry )

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HÌNH HỌC VI PHÂN ( Differential geometry )

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Mục lục

  • 2.3. The equivalence of 2 local parameters:

  • CHAPTER 3: FIRST FUNDAMENTAL FORM

  • Taking turns to pick are 2 point on 2 corresponding coordinates curves and . When small enough so projection of curved parallelogram on osculating plane of at approximately the area of parallelogram on the contact plane. The edges of parallelogram on the contact plane are so the area of parallelogram is:

  • 2.Basic types of maths

  • Method to compute an area of domain lies on the surface bounded by given curves :

  • 3. Formula of second fundamental form :

  • 5. Formula of second fundamental form of(S):

  • All curves on a surface X and having the same tangent line at a given point p ∈ X have the same normal curvature at p

  • 1. Definition principle direction

    • 2. Curve chính or Curves curvature:

    • 7. Formula to find principal direction:

    • 2. Formula to find Gaussian curvature and Mean curvature

    • 3. Find Principle curvature when we know Gaussian curvature and Mean curvature

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