MathPlotAI Logo MathPlotAI

Cylindrical Equal-Area Projection

Cylindrical Equal-Area Projection
Loading the math board and drawing, please wait…
2017-10-27 01:44
TrigonometryCoordinate GeometryTransformationGeometric ConstructionGraphing
This example demonstrates the geometric construction and properties of the cylindrical equal-area projection. It involves core mathematical concepts such as projection transformations, area preservation, and coordinate geometry. The construction uses GeoGebra commands like Point, Circle, Intersect, and OrthogonalLine. Suitable for high school and above students learning the mathematical principles of map projections.

GeoGebra Commands & Parameters

  1. Point(xAxis) → B
  2. Circle(A, r) → c
  3. Intersect(c, yAxis) → C, D
  4. OrthogonalLine(C, yAxis) → a
  5. OrthogonalLine(D, yAxis) → b
  6. OrthogonalLine(B, xAxis) → d_1
  7. Intersect(a, d_1) → E
  8. Circle(A, B) → e
  9. Intersect(e, xAxis, 2) → F
  10. OrthogonalLine(F, xAxis) → f
  11. Intersect(a, f) → G
  12. Intersect(b, f) → H
  13. Intersect(c, xAxis) → I, J