Al-Kashi pi and decimal fractions
Pi con 16 decimales y fracciones decimales de al-Kashi
- Date
- 1424 · confidence high
- Place
- Samarkand, Uzbekistan
- Credited to
- Jamshid al-Kashi
- People
- 👤 Ghiyath al-Din Jamshid Mas'ud al-Kashi1380–1429
- Field
- Knowledge & symbols
What was discovered
He calculated 2 pi to 16 exact digits using a polygon of 805,306,368 sides and systematically used decimal fractions, as well as an algorithm for nth roots and the law of cosines (called al-Kashi's theorem in French).
His record for pi was not surpassed until Ludolph van Ceulen (1596).
What it led to
- Stevin's decimal notation
- numerical analysis
Built on
- Al-Uqlidisi's decimal fractions952-953
- Archimedes
- Al-Uqlidisi (decimal fractions, 952)
Made possible
- Ulugh Beg's astronomical tables