Definition:Pascal's Triangle/Historical Note

Historical Note

 * The earliest reference to Pascal's Triangle seems to date from between the 5th and 2nd centuries B.C.E. by the Hindu writer.


 * In Iran it is known as the Khayyam Triangle after discussed it in ca. 1100 C.E. It had been discussed even before that by  a hundred years previously.


 * In India it was discussed at length by in his ca. 1150 work Līlāvatī.


 * In China it is known as Yang Hui's Triangle after, who himself (in 1261) credited it to in a work (ca. 1000 C.E.) now lost.


 * It also appears in 's The Precious Mirror of the Four Elements, published in 1303.


 * The first record of it in Europe seems to be when published it on the frontispiece of his 1527 book on business calculations Ein newe und wolgegründete underweisung aller Kauffmanns Rechnung in dreyen Büchern, mit schönen Regeln und fragstücken begriffen.


 * It is also known (particularly in Italy) as Tartaglia's Triangle, after.


 * It was 's 1653 treatise Traité du triangle arithmétique which was perhaps the first time the main properties of this triangle were documented in one place.


 * The name Pascal's Triangle was assigned by in 1708, and  in 1730.