MathPlotAI Logo MathPlotAI

Divide a line segment into equal lengths

Divide a line segment into equal lengths
Loading the math board and drawing, please wait…
2017-01-03 16:09
Coordinate GeometryGeometric Construction
This example demonstrates how to divide a line segment into several equal parts. Key math concepts involved include line segments, multiplication, equations, LCM and GCD, centroid or barycenter. Construction highlights using GeoGebra commands/objects like Line, Point, Circle, Intersect, Distance, Midpoint. Suitable for middle school and above learning geometric constructions and mathematical concepts.

GeoGebra Commands & Parameters

  1. Line(A_3, B_1) → i
  2. Point(i) → A
  3. Point(i) → B
  4. Point(i) → P
  5. Point(i) → Q
  6. Line(A, G) → f
  7. Circle(G, A) → c
  8. Intersect(c, f, 2) → H
  9. Circle(H, G) → d
  10. Intersect(d, f, 2) → I
  11. Line(I, B) → g
  12. Line(H, g) → h
  13. Line(G, g) → j
  14. Intersect(i, j) → A_1
  15. Intersect(i, h) → A_2
  16. Distance(A, A_1) → distanceAA1
  17. Midpoint(A, A_1) →
  18. Distance(A_1, A_2) → distanceA1A2
  19. Midpoint(A_1, A_2) →
  20. Distance(A_2, B) → distanceA2B
  21. Midpoint(A_2, B) →