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Theorem 12.1.8

Theorem 12.1.8
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2018-08-17 13:54
FunctionMatrixGeometric Construction
In collections Chapter 12: The Place of Parallels

GeoGebra Commands & Parameters

  1. Line(A, B) → f
  2. Line(C, f) → g
  3. Line(D, g) → h
  4. OrthogonalLine(D, h) → i
  5. Point(h) → E
  6. Point(g) → F
  7. Point(i) → G
  8. Angle(E, D, G) → α
  9. Intersect(f, i) → I
  10. Intersect(g, i) → H
  11. Angle(F, H, I) → β
  12. Angle(B, I, G) → γ

AI Drawing Prompt Reference

Draw a geometric construction: start with a line through two points, then a parallel line through a third point, and another parallel line through a fourth point. From the fourth point, draw a perpendicular to the last line. Place a point on each of the three lines. Connect points to form three angles: one at the fourth point between the perpendicular point and the perpendicular foot, another at the intersection of the perpendicular with the second line between a point on that line and the intersection with the first line, and a third at the intersection of the perpendicular with the first line between a point on the second line and the perpendicular foot. Mark all intersection points.
The prompt above was compiled from the original drawing commands and is for reference only.