John Wallis Pi (Wallis Product)
/*It was always my affectation even from a child, in all piecesof Learning or Knowledge, not merely to learn by rote, whichis soon forgotten, but to know the grounds or reasons of whatI learn; to inform my Judgement, as well as furnish my Memory;and thereby, make a better Impression on both.- John Wallis*/i = c = 1
setInterval(_ => {
for (j = 0; j < 1000; j++, i += .5)
c *= (~~i * 2) / (~~(i - .5) * 2 + 1)
console.log(c * 2 + '\n' + 3.141592653589793)
}, 16);
π = 2
2
/
1
·
2
/
3
·
4
/
3
·
4
/
5
·
6
/
5
·
6
/
7
·
8
/
7
·
8
/
9
· · · ·
I was at an old book store a few days ago and randomly picked up History of Mathematics Vol. I by David Eugene Smith 1923 for $7.50. After enjoying flipping around and reading different parts, I pulled up Wikipedia to read more about the author… From there I found some interesting quotes from talking about John Wallis – when I saw the Wallis Product I was inspired to write a quick snippet.