Monday, March 22, 2021

π in the Bible

"How do you find the holy grail of mathematics? 

 --You start with a circle, which is the easiest geometric shape to draw (just fix one end of a string in place and swing the other end around it, inscribing a circle). 
--Then measure the circle’s perimeter (also known as the circumference) and the distance across its widest point (the diameter). 
--Divide the circumference by the diameter—and you have that well-known but eternally daunting number, π, or pi, which has a value of 3.14159265…
 
That is part of the mystique of pi: Whatever the size of the circle, the value remains the same (what mathematicians call a “constant”). Unfortunately, pi is also “irrational,” meaning that it is impossible to calculate its value completely; the decimals go on forever without regular repetition.

Calculating the value of pi has been a puzzle for millennia. One of the earliest implied values is given in a Biblical passage describing the construction of a huge basin for Solomons Temple: “Then [Hiram of Tyre] made the molten sea; it was round, ten cubits from brim to brim, and five cubits high. A line of thirty cubits would encircle it completely” (1 Kings 7:23). In other words, pi = 30÷10 or 3.

The Temple craftsmen obviously obtained these numbers through direct measurement—perhaps using a rope—and they came up with a simple approximation of pi
 
More than a thousand years earlier, the Sumerians had developed a mathematical method for measuring the dimensions of circles, that of inscribed equilateral polygons (a geometric shape with three or more straight sides). The ancient Sumerians realized that the perimeter of a polygon inscribed in a circle would always be slightly smaller than the circle’s circumference. This allowed them to make a fairly accurate measurement of a curved line, which is almost impossible to do with ordinary measuring devices." BiblicalArchaeology