Measuring the earth with Terence Tao
In the 10th century, Arab mathematician Aloni accurately measured Earth's radius using trigonometry by observing the horizon's angle from a mountain.
MAIN POINTS FROM TRANSCRIPT
- Aloni measured Earth's radius within 1% accuracy using trigonometry.
- He observed the horizon's angle from a mountain to calculate Earth's radius.
- The method involved forming a right-angle triangle with the Earth's radius and mountain height.
- The calculation relied on the angle of declination and trigonometric principles.
TAKEAWAYS
- Aloni's method showcased early scientific ingenuity in measuring Earth's dimensions.
- Trigonometry played a crucial role in ancient astronomical calculations.
- Accurate measurements of Earth were achieved without modern technology.
- The interview highlights historical methods of measuring cosmic distances.