🔤 Crunode ✨

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munaqqa naqta, khud ko kaatne wala naqta, do shakhon ka milnay ka naqta

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📚noun

crunode

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DEFINITION

point where a curve crosses itself, node where two branches intersect, double point of a curve

EXAMPLE SENTENCES

In geometry, a crunode is a point where a curve intersects itself and has two distinct tangent lines. The mathematician plotted the equation and identified the crunode where the curve crossed over itself on the graph. Students learned to distinguish a crunode from a cusp by examining the behaviour of the curve at the singular point. The shape of the curve changes near the crunode, creating a loop that returns and crosses its own path. Understanding crunodes helps mathematicians analyse more complex algebraic curves and their geometric properties.

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self intersection double point crossing point node

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smooth point single point straight point non intersecting point