"tacnode" meaning in English

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        "4": "tactus"
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      "name": "uder"
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        "2": "node"
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      "expansion": "English node",
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  "etymology_text": "Latin tactus + English node",
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    {
      "form": "tacnodes",
      "tags": [
        "plural"
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  "lang_code": "en",
  "pos": "noun",
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      "examples": [
        {
          "ref": "2012, Joe Harris, Algebraic Geometry: A First Course, page 262",
          "text": "A tacnode is defined to be a singularity equivalent to the origin in the curve y²-x²#x3D;0, that is, the union of two smooth arcs meeting with contact of order two. Similarly, an oscnode is a singularity equivalent to y²-x⁶#x3D;0, i.e., consisting of two smooth branched with contact of order three, and so on.",
          "type": "quotation"
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      ],
      "glosses": [
        "A point of a curve where two or more osculating circles to the curve at that point are tangent, so that two branches of the curve have ordinary tangency at the double point."
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          "osculate"
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          "circle",
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          "tangent",
          "tangent"
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          "tangency",
          "tangency"
        ]
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        "(geometry) A point of a curve where two or more osculating circles to the curve at that point are tangent, so that two branches of the curve have ordinary tangency at the double point."
      ],
      "related": [
        {
          "word": "oscnode"
        }
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        "geometry",
        "mathematics",
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        "tacnode"
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  "word": "tacnode"
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      "expansion": "English node",
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          "text": "A tacnode is defined to be a singularity equivalent to the origin in the curve y²-x²#x3D;0, that is, the union of two smooth arcs meeting with contact of order two. Similarly, an oscnode is a singularity equivalent to y²-x⁶#x3D;0, i.e., consisting of two smooth branched with contact of order three, and so on.",
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        "A point of a curve where two or more osculating circles to the curve at that point are tangent, so that two branches of the curve have ordinary tangency at the double point."
      ],
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          "osculating",
          "osculate"
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          "circle",
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        "(geometry) A point of a curve where two or more osculating circles to the curve at that point are tangent, so that two branches of the curve have ordinary tangency at the double point."
      ],
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        "geometry",
        "mathematics",
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