"first fundamental form" meaning in English

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  "lang_code": "en",
  "pos": "noun",
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          "name": "Differential geometry",
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      "examples": [
        {
          "text": "E=⃑x_u·⃑x_u"
        },
        {
          "text": "F=⃑x_u·⃑x_v"
        },
        {
          "text": "G=⃑x_v·⃑x_v"
        }
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      "glosses": [
        "the Riemannian metric for 2-dimensional manifolds, i.e. given a surface with regular parametrization x(u,v), the first fundamental form is a set of three functions, {E, F, G}, dependent on u and v, which give information about local intrinsic curvature of the surface. These functions are given by"
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      "qualifier": "differential geometry",
      "raw_glosses": [
        "(differential geometry) the Riemannian metric for 2-dimensional manifolds, i.e. given a surface with regular parametrization x(u,v), the first fundamental form is a set of three functions, {E, F, G}, dependent on u and v, which give information about local intrinsic curvature of the surface. These functions are given by"
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        "uncountable"
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  "word": "first fundamental form"
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        {
          "text": "F=⃑x_u·⃑x_v"
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        {
          "text": "G=⃑x_v·⃑x_v"
        }
      ],
      "glosses": [
        "the Riemannian metric for 2-dimensional manifolds, i.e. given a surface with regular parametrization x(u,v), the first fundamental form is a set of three functions, {E, F, G}, dependent on u and v, which give information about local intrinsic curvature of the surface. These functions are given by"
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        "(differential geometry) the Riemannian metric for 2-dimensional manifolds, i.e. given a surface with regular parametrization x(u,v), the first fundamental form is a set of three functions, {E, F, G}, dependent on u and v, which give information about local intrinsic curvature of the surface. These functions are given by"
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