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Azimuthal Equal-area Map

Azimuthal Equal-area Map
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2017-11-13 18:54
TrigonometryCoordinate GeometryCalculusMatrixGeometric Construction
This example demonstrates the construction of an Azimuthal Equal-area map. It involves core mathematical concepts such as area, matrices, straight lines, quadratic equations, polygons, and calculus. The construction uses GeoGebra commands and objects like Point, Circle, Intersect, OrthogonalLine, and LaTeX. Suitable for high school and above students to learn about map projection and geometric construction.

GeoGebra Commands & Parameters

  1. Point(xAxis) → B
  2. Circle(O, B) → d
  3. Intersect(d, yAxis) → C, A
  4. OrthogonalLine(C, yAxis) → b
  5. OrthogonalLine(B, xAxis) → e
  6. Intersect(b, e) → F
  7. Intersect(d, xAxis, 2) → D
  8. OrthogonalLine(D, xAxis) → a
  9. OrthogonalLine(A, yAxis) → c
  10. Intersect(b, a) → E
  11. Intersect(a, c) → G
  12. LaTeX(scale, true, true) → text2