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Spiral of Square Roots

Spiral of Square Roots
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2018-11-26 02:28
FunctionCoordinate GeometryGeometric Construction
This example demonstrates the generation of a spiral of square roots. Key mathematical concepts include square roots, natural numbers, and geometric construction. Using GeoGebra commands such as Segment, OrthogonalLine, and Circle, a series of geometric figures related to square roots can be constructed. Suitable for middle school and above students to learn geometric construction and square root concepts.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. OrthogonalLine(B, a) → aa
  3. Circle(B, 1) → aaa
  4. Intersect(aaa, aa, 2) → C
  5. Circle(A, Distance[A, C]) → d
  6. Intersect(d, xAxis) → Α, BB
  7. Distance(Α, BB) → ΑΒ
  8. Distance(BB, C) → ΒC
  9. Segment(B, C) → f
  10. Polygon(A, B, C) → t1, c, a_1, b