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Intersection of Implicit Curves

Intersection of Implicit Curves
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2017-02-03 02:44
CircleCoordinate GeometryGeometric Construction
In collections Solution of Systems of nonlinear Equations
This example demonstrates how to use the NSolve command to find the intersection points of implicit curves. Key mathematical concepts include implicit curves, conic sections, incircle, ratios, and tangents. By constructing implicit curves and incircles, the intersection points are found using the NSolve command. The example utilizes GeoGebra objects a, b, A, and Liste1. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. ((y^(2) * ((6 * y) + (7 * x))) * ((x^(6) * y^(4)) + (2 * y^(10)) - (2 * (x^(2) - y^(2))^(5)) - y^(4))) + (x^(3) * ((x^(4) * y^(6)) + (2 * (x^(2) - y^(2))^(5)))) = 0
  2. (x^(6) * y^(6)) + y^(12) + (x^(2) - y^(2))^(6) - y^(6) = 0
  3. Point A(-0.8354858050997798, 0.648580909060305)
  4. {}
  5. Point B(-0.9461969710481, 0.6349343022559)