Math-history can't be done with words. One has to calculate and demonstrate hypothetical methods and algorithms at work. I have nothing to do with a "modern partitioning method" but offer methods I reconstructed on my own: the number pattern for the approximation of the square root of 2 from 1979, found while examining the geometry of the former refectory of the Santa Maria delle Grazie at Milan, expanded to the number columns for the approximations of the square roots of 3 and 5 and the cube root of 2 in late 1993, the systematic method of calculating the circle in early 1994, the first pi sequences in the same year, then my interpretations of over sixty problems in the Rhind Mathematical Papyrus in the following years, and the application of numer sequences to astronomical problems. Additive number patterns and sequences were the universal tool of Egyptian and Mesopotamian mathematics, and now prove their worth also when it comes to Mesoamerican astronomy and mathematics. They allow to work with integers, and provide many values from which you can choose the one that comes handy in a given calculation or number system. They are a very simple but clever tool. I saw no problem that could not be solved with those methods.