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Hyperbola Definition

Hyperbola Definition
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2015-05-02 00:43
Geometric ConstructionLocus
This example demonstrates the definition of a hyperbola and associated vocabulary. Key mathematical concepts include the geometric definition, foci, and directrices. Construction involves GeoGebra commands such as Segment, Line, Hyperbola, and Intersect. Suitable for high school mathematics or geometric construction practice.

GeoGebra Commands & Parameters

  1. Segment(E, F) → a
  2. Segment(F, G) → b
  3. Segment(G, H) → c
  4. Segment(H, E) → d
  5. Line(E, G) → e
  6. Line(H, F) → f
  7. Hyperbola(L, I, A) → g
  8. Intersect(e, f) → M
  9. Segment(B, A) → h
  10. Point(g) → N
  11. Segment(N, L) → i
  12. Segment(N, I) → j

AI Drawing Prompt Reference

Draw a hyperbola g with foci at points E and G, and passing through points L and I. First, draw segments a, b, c, and d, then draw lines e and f, and finally draw the hyperbola g. Find the intersection point M of lines e and f, draw segment b, and then draw point N on hyperbola g. Lastly, draw segments i and j from point N to points L and I.
The prompt above was compiled from the original drawing commands and is for reference only.