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Nautical Mile and Knots

Nautical Mile and Knots
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2025-01-11 23:22
CircleAngleTransformationParametric EquationGeometric Construction
In collections El dominio del Tiempo (cinemática intuitiva)
This example illustrates the concept of nautical miles and knots in maritime and aerial navigation. Key mathematical concepts include angles, circles, parametric equations, and transformations. Using GeoGebra commands such as Segment, Point, Circle, Sequence, and Intersect, the example constructs common trajectories and shapes used in navigation. Suitable for high school and above students or related learners.

GeoGebra Commands & Parameters

  1. Segment((x1, y1), (x2, y1)) → s1
  2. Point(s1) → O
  3. Circle(C, 0.30) → c
  4. Segment(A, B) → ff
  5. Circle(C, 0.35) → cc
  6. Segment(A, A - (0, 0.4)) → s2
  7. Sequence(RandomPointIn[Rp3(1)], k, 1, 5) → l3, {(2.508446916244997, 4.794564463001524), (2.5137305511000494, 4.9767524591123875), (2.496135484640356, 4.831859876884443), (2.476578983848203, 4.4745431982668284), (2.496283004266359, 5.0224409918301225)}
  8. Sequence(RandomPointIn[Rp2(1)], k, 1, 2) → l2, {(2.5119521868511914, 5.200000000000003), (2.5136481981821355, 5.200000000000003)}
  9. Sequence((x1 + 2 + (k * nu), y1), k, 0, 8) → marcas
  10. Sequence(Line[marcas(k), marcas(k) + (0, 1)], k, 1, 9) → rectas
  11. Intersect(f, rectas(1), marcas(1)) → N0
  12. Intersect(f, rectas(2), marcas(2)) → N1
  13. Intersect(f, rectas(3), marcas(3)) → N2
  14. Intersect(f, rectas(4), marcas(4)) → N3
  15. Intersect(f, rectas(5), marcas(5)) → N4
  16. Intersect(f, rectas(6), marcas(6)) → N5
  17. Intersect(f, rectas(7), marcas(7)) → N6
  18. Intersect(f, rectas(8), marcas(8)) → N7
  19. Intersect(f, rectas(9), marcas(9)) → N8

AI Drawing Prompt Reference

Draw a horizontal segment, then draw a circle with radius 0.3 above it, and another circle with radius 0.35 centered at the same point. From one endpoint of the segment, draw a line segment extending upward and to the left with length 0.4. Randomly generate five points on a unit sphere and two points on a unit plane, connect these seven points sequentially with line segments. Mark points at equal intervals along the horizontal segment from right to left, and draw vertical line segments upward from each mark to intersect the horizontal segment, resulting in eight intersection points.
The prompt above was compiled from the original drawing commands and is for reference only.