...exercised in calculating the limits of n without the advantages of the Arabian system of numerals and of the decimal notation. For it must be considered that...regard to the mathematicians of Greece that follow ArchiThe later mathema- niedes, all refer to and employ the approximate ticians of Greece. vajue of...

...Archimedes as the most 1 8 THE ROOTS FOR " RATIONALITY." useful one for practical application." Again, " With regard to the mathematicians of Greece that follow...all refer to and employ the approximate value of 3*, without however contributing anything new or additional to the problem of the quadrature of the cyclometre."...

...especially recommends that of Archimedes as the most useful one for practical application." Again, " With regard to the mathematicians of Greece that follow...all refer to and employ the approximate value of 3', without however contributing anything new or additional to the problem of the quadrature of the cyclometre."...

...expressed approximately the roots of given numbers and fractions. The later mathematicians of Greece. — With regard to the mathematicians of Greece that follow...refer to and employ the approximate value of 3^ for w, without however contributing anything essentially new or additional to the problems of quadrature...

...exercised in calculating the limits of * without the advantages of the Arabian system of numerals and of the decimal notation. For it must be considered that at many stages of the computation what we call tlie extraction of roots was necessary, and that Archimedes could only by extremely tedious calculations...