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Half-chords in India

Half-chords in India
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2019-02-20 19:25
AngleTrigonometryGeometric Construction
This example demonstrates the ancient Indian method of calculating half-chords. Key mathematical concepts include trigonometry and angles. Using GeoGebra commands such as Circle, Point, Midpoint, Segment, and Angle, the geometric figure of half-chords is constructed. Suitable for high school mathematics education and students learning trigonometry.

GeoGebra Commands & Parameters

  1. Circle(O, 1) → c
  2. Point(c) → A
  3. Point(c) → B
  4. Midpoint(B, A) → C
  5. Segment(C, A) → i
  6. Angle(A, O, C) → α
  7. Segment(O, A) → f
  8. Segment(O, B) → g
  9. Segment(B, A) → chord
  10. Segment(O, C) → h
  11. Angle(O, C, A) → β

AI Drawing Prompt Reference

Draw a circle and select two points on it. Connect these points and find their midpoint. Draw a line segment from the center to the midpoint and another from the center to one of the points. Finally, connect the two points to form a chord. Highlight the center, midpoint, chord, and related angles to illustrate the calculation of half-chords, suitable for trigonometry and geometry construction learning.
The prompt above was compiled from the original drawing commands and is for reference only.