Relative dating verses absolute dating methods

For one, it was known that any error would produce a value slightly high, and for the other, it was known that any error would produce a value slightly low.

And hence, as long as the two series produced the same digits, there was a very high confidence that they were correct.

Early modern mathematicians reached an accuracy of 35 digits by the beginning of the 17th century (Ludolph van Ceulen), and 126 digits by the 19th century (Jurij Vega), surpassing the accuracy required for any conceivable application outside of pure mathematics.

The first 100,265 digits of Records since then have all been accomplished on personal computers using the Chudnovsky algorithm.

In 2009, Fabrice Bellard computed just under 2.7 trillion digits, and from 2010 onward, all records have been set using Alexander Yee's y-cruncher software.

His 15th-century commentator Nilakantha Somayaji (Kerala school of astronomy and mathematics) has argued that the word means not only that this is an approximation, but that the value is incommensurable (irrational).

was known to about seven digits in Chinese mathematics, and to about five in Indian mathematics.

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Zu Chongzhi's result surpasses the accuracy reached in Hellenistic mathematics, and would remain without improvement for close to a millennium.

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