To the best of my knowledge there is nothing written nor published that sets forth precise measurements , & realistically, there could not be.
I was taught certain angles & measurements, but they were taught as a guide, not as an iron bound rule.
A blade can vary in length, width, angle, the parts of the blade can vary in placement, for example the swell of the edge at front Chest) of the blade and the balancing swell at the back of the blade, ideally these are set at an angle that is in harmony with the other proportions of the blade. These proportions themselves vary according to the classification of a blade & the maker.
However, the overall requirement is that all the characteristics of the blade should be in harmony.
As to how this knowledge was passed on, it was word of mouth from the teacher to his student.
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