Showing posts with label the beautiful definitions of different units. Show all posts
Showing posts with label the beautiful definitions of different units. Show all posts

Sunday, April 5, 2015

Lilavati, the beautiful definitions of different units

Lilavati: Definitions 

In Lilavati, the beautiful definitions of different units demonostrates the advanced arithmetics of the Vedic-era.
Having bowed to [Ganesha] who causes the joy of those who worship him, who, when thought of, removes obstacles, the elephant-headed one whose feet are honored by multitudes of gods, I state the arithmetical rules of true computation, the beautiful Lilavati, clear and providing enjoyment to the wise by its concise, charming and pure quarter-verses.
Two times ten varatakas [cowrie] are a kakini [shell], and four of those are a pana [copper coin]. Sixteen of those are considered here [to be] a dramma [coin, "drachma"], and so sixteen drammas are a niska [gold coin].
Two yavas [barley grain (a weight measure)] are here considered equal to a gunja [berry]; three gunjas are a valla [wheat grain] and eight of those are a dharana [rice grain]. Two of those are a gadyanaka, so a ghataka is defined [to be] equal to fourteen vallas.
Those who understand weights call half of ten gunjas a masa [bean], and sixteen of [the weights] called masa a karsa, and four karsas a pala. A karsa of gold is known as a suvarna [lit. "gold"].
An angula [digit] is eight yavodaras [thick part of a barley grain]; a hasta [hand] is four times six angulas. Here, a danda [rod] is four hastas, and a krosa [cry] is two thousand of those.
A yojana is four krosas. Likewise, ten karas [hand, hasta] are a vamsa [bamboo]; a nivartana is a field bounded by four sides of twenty vamsas [each].
A twelve-edged [solid] with width, length, and height measured by one hasta is called a cubic hasta. In the case of grain and so forth, a measure [equal to] a cubic hasta is called in treatises a "Magadha kharika".
And a drona [bucket] is a sixteenth part of a khari; an adhaka is a fourth part of a drona. Here, a prastha is a fourth part of an adhaka; by earlier [authorities], a kudava is defined [as] one-fourth of a prastha.

https://sites.google.com/site/pranabanandaji/veda--the-origing-of-the-pure-mathematics