The following are known:--

(1) A flat polished surface or tablets, strewn with sand, on which

figures were inscribed with a stylus.

(2) A polished tablet divided longitudinally into nine columns (or more)

grouped in threes, with which counters were used, either plain or marked

with signs denoting the nine numerals, etc.

(3) Tablets or boxes containing nine grooves or wires, in or on which

ran beads.

(4) Tablets on which nine (or more) horizontal lines were marked, each

third being marked off.

The only Greek counting board we have is of the fourth class and was

discovered at Salamis. It was engraved on a block of marble, and

measures 5 feet by 2½. Its chief part consists of eleven parallel lines,

the 3rd, 6th, and 9th being marked with a cross. Another section

consists of five parallel lines, and there are three rows of

arithmetical symbols. This board could only have been used with counters

(_calculi_), preferably unmarked, as in our treatise of _Accomptynge by

Counters_.

The Earliest Arithmetics in English · 第 7 / 26 题