ĐẠO PHẬT LÀ TOÁN HỌC - Trang 28

Again above this is the numeration called sarvaniksepa, with the help of which one could take the

sands of ten Ganges rivers as a subject for calculation and measure them all.

.And again above this is the numeration called agrasara, with the help of which one could take the

sands of a hundred kotis of Ganges rivers as a subject of calcuỉation measure them all. [these sands of the

Gangeses would be too few for their respective numerations]

“And again above this is the highest numeration called uttaraparamamưajahpravesa, which is said to

penetrate the most subtle atoms. Except for a Tathagata, or a Bodhisattva who has reached the purest

essence of Enlightenment, or a Bodhisattva who has been initiated into all the Dharma, there is no being

who knows this numeration, except myselí or a Bodhisattva like me, who has arrived at his last existence,

but has not yet left home.”

§2. Counting the atoms in a yojana and the Earth’s mass

Arjuna said: “Young man, how must one proceed in the numeration which penetrates the dust of the most

subtle atoms?” [counting back this list of lengths an atom would measure between 1 and 1000 picometer,

in reality its diameter is 60 to 600 pm]

The Bodhisattva said: “Seven subtle atoms make a fìne particle\ seven fine particles make a small

particle’, seven small particles make a particle called vatayanaraja\ and seven particles of vatayanaraja

make a particle called sasarajcr, seven particles of sasaraja make a particle called edakaraja\ seven

particles of edakaraja make a particle of gorạịcr, seven particles of goraja make a liksarạịa', seven

liksaraja make a sarsapa; seven sarsapas make an adyava; seven adyavas make an anguli', twelve anguỉi

make a parvcr, two parva make a hastcr, four hastas make a dhanu', a thousand dhanu make a krosa of

the country of Magadha; four krosas make ĩtyọịana. [a yojana measures a day's march of a royal army in

distance, here covering about 108*10

A

12 atoms] And now who among you knows the mass of one

yojana, and how many of these subtle atoms it contains?”

Arjuna said: “I myself am even more astonished than others of lesser knowledge. Let the young prince

show us the mass of a yojana, and explain how many subtỉe particles are íồund in it.”

The Bodhisattva replied: “In the mass of ayọịana there are a complete niyuta of aksobhyas plus thirty

hundred thousand of niyutas of kotis plus sixty hundreds of kotis plus thirty-two kotis and fíve times a

hundred thousand and tweỉve thousand. [a 'mass' of 10003000000000000060320512000 atoms?] Such is

the calculation of subtle particles in the mass of a yojana.

By this procedure, there are here in the land of Jambu seven thousand yojanas; in the land of

Aparagodana, eight thousand yojanas; in the ỉand Purvavideha, nine thousand yojanas; in the land of

Uttarakuru, ten thousand yojanas. [Earth 34000 yojanas ~ mảss 3.4E32 atoms]

§3. Three thousand great thousandíold world in essence incalculable