"tacnode" meaning in All languages combined

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          "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.",
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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",
          "circle"
        ],
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          "tangent",
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          "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."
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