Page:The Whetstone of Witte.djvu/39

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whose sides are equalle. For and if the one side be longer then the other, that figure in Geometrie is called long square, and so it is named in number, a long square also.

Now if I sette doune the figure of your number, as you termed it, and sette. 4. for the one side, and. 9. for the other, this will the figure shewe.

Where you se a plain long square: yet is the whole number that amounteth of this multiplication: truely named a square number, as here you maie see. but then is the side or roote of it, neither. 4. nor. 9. but. 6.

Scholar. Now I vnderstande it: and the better by this figuralle example. A roote. And here also I haue learned what a Roote is: for you seme to expounde it, to bee the side of a figuralle number.

Master. Euery flatte nomber, and euery sounde number also haue their sides: But no flatte number, saue onely squares haue a roote: bicause a roote in flatte numbers, is a number multiplied by it self.

And i nsounde numbers, thei onely haue rootes, whiche bee made by many multiplications, of some one nūber by it self: other by that, whiche riseth of it.

As when I saie, twoo tymes, twoo twise, maketh 8. that number is a sounde number: and is named a Cube. And so. 3. tymes. 3. thrise, doeth make. 27. whiche is also a Cube.

A cube. And generally, any number that is made by suche 2. multiplication, is called a Cube, or Cubike number. And the number of that multiplication, whiche commonly is named the multiplier, A cubike roote. is in this pouncte called the Cubike roote of that number.

A cubike nomber. Wherefore, thus also maie you define a Cubike nō-ber,