Definition:Pascal's Triangle/Historical Note

Historical Note on Pascal's Triangle

 * The earliest reference to Pascal's triangle seems to date from between the $5$th and $2$nd 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 $1655$ treatise 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 $1730$.