Aryabhata’s 499 CE mastery of the gnomon (śaṅku) turned shadows into a tool for measuring the Earth and sky. Verse 14 uses the Pythagorean theorem (√(G² + S²)) for sunrays; Verse 15 calculates shadows from nearby lights (S = (G × D) / (L - G)); Verse 16 triangulates distant objects; Verse 17 codifies a² + b² = c²; and Verse 18 lays eclipse geometry foundations with intersecting circles. From fields to eclipses, his math was revolutionary.
Disclosures:
- Based on historical text; interpretations may vary.
- Simplified for audio; consult Aryabhatiya for full Sanskrit and context.
- AI was used for research, drafting content, and generating voice narration.
KeywordsAryabhata, gnomon, shadows, Pythagorean theorem, triangulation, eclipse, astronomy, geometry, 499 CE, India
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