ARENARIUS

, the name of a book of Archimedes, in which he demonstrated, that not only the sands of the earth, but even a greater quantity of particles than could be contained in the immense sphere of the fixed stars, might be expressed by numbers, in a way by him invented and described. This notation proceeds by certain geometrical progressions; and in denoting and producing certain very distant terms of the progression, he here first of any one makes use of a property similar to that of logarithms, viz, adding the indices of the terms, to find the index of the product of them. See Archimedes.