NOTES.
BOOK VII.
DEFINITIONS.
अङ्क = A number.
रूप = A unit, one.
बृहदङ्को गुणगुणितलघ्वङ्कतुल्योऽस्ति = The greater number is a multiple(lit. equal to the less number repeated a number of times) of the less number.
समाङ्क = An even number.
विषमाङ्क = An odd number.
लब्धि = A quotient.
प्रथमाङ्क = A prime number.
योगाङ्क = A composite number.
मिलितसंज्ञौ = Commensurable.
हर = A divisor.
भिन्नाङ्क = Incommensurable.
समसम = Evenly even.
घात = A product.
A समसम number is defined as one which, when divided by an even number, gives an even quotient. This is not a very accurate definition. 24 when divided by 8 gives 3 as its quotient, and when divided by 6 gives 4 as its quotient. Is 24 then समसम according to definition 6 or समविषम according to definition 8? To make the definitions 6 and 8 accurate, therefore, we should understand समेन to be equal to यावत्समेन, i.e all even numbers.
A समसम number is thus equal to that which all even numbers which measure it measure it by even numbers; and a समविषम number is one which all even numbers which measure it measure it by odd numbers.
A पूर्ण or perfect number is one which is equal to the sum of
