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History of PI!

History of PI!. Sommy Khalaj 1 st Period. Bible Verse. And he made a molten sea, ten cubits from the one brim to the other: it was round all about, and his height was five cubits: and a line of thirty cubits did compass it about. (I Kings 7, 23)

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History of PI!

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  1. History of PI! SommyKhalaj 1st Period

  2. Bible Verse • And he made a molten sea, ten cubits from the one brim to the other: it was round all about, and his height was five cubits: and a line of thirty cubits did compass it about. (I Kings 7, 23) • Also found in II Chronicles 4, 2. The value of pi was given in a list of specifications for the great temple of Solomon, built around 950 BC and its interest here is that it gives π = 3.

  3. The Babylonians and Egyptians • In ancient times, the Babylonians calculated the area of a circle by multiplying its radius squared by 3. And in fact, a tablet from this time period (1900-1680 BCE) indicates the value of pi to be 3.125. • The Egyptians used [(8d)/9]2which would mean the value of pi would be 3.1605.

  4. Archimedes of Syracuse • He found out that pi existed between 223/71 and 22/7. • He theorized the value of pi based off the area of a circumscribed polygon and an inscribed polygon. • He actually was able to start with a hexagon and work up to a 96-sided polygon.

  5. Formulas to Approximate Pi • James Gregory (1638-1675) developed π/4 = 1 - 1/3 + 1/5 - 1/7 + . . . • The only issue was the it took about 5 million terms to work out a value with just 6 or 7 decimal places. • Influenced by Gregory, John Machin developed π/4 = 4arctan(1/5)-arctan(1/239) • This formula is actually used my computer programmers today.

  6. The Symbol • Used initially by an Englishman by the name of William Jones in 1706. • It was later adopted by Euler in 1737 and soon after became pi’s standard symbol.

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